The Theory of Open Quantum Systems

The Theory of Open Quantum Systems

Volumn 9780199213900, Issue , 2007, Pages 1-656

  Breuer, Heinz Peter ^a   Petruccione, Francesco ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Decoherence; Master equations; Non markovian quantum dynamics; Open quantum systems; Quantum brownian motion; Quantum information; Quantum markov processes; Quantum optics; Relativistic quantum processes

Indexed keywords

EID: 84921931441     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780199213900.001.0001     Document Type: Book

References (304)

1. Akhiezer, A. I. and Berestetskii, V. B. (1965). Quantum Electrodynamics. Interscience Publishers, John Wiley New York.
2. Aspect, A., Arimondo, E., Kaiser, R., Vansteenkiste, N. and Cohen-Tannoudji, C. (1989). Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping: Theoretical analysis. J. Opt. Soc. Am., B6, 2112-2124.
3. Bardou, F., Bouchaud, J.-P., Emile, O., Aspect, A. and Cohen-Tannoudji, C. (1994). Subrecoil laser cooling and Lévy flights. Phys. Rev. Lett., 72, 203-206.
4. Bardou, F., Bouchaud, J.-P., Aspect, A. and Cohen-Tannoudji, C. (2001). Lévy Statistics and Laser Cooling. Cambridge University Press, Cambridge.
5. Bjorken, J. D. and Drell, S. D. (1965). Relativistic Quantum Fields. McGraw-Hill, New York.
6. Blümel, R., Buchleitner, A., Graham, R., Sirko, L., Smilansky, U. and Walther, H. (1991). Dynamical localization in the microwave interaction of Rydberg atoms: The influence of noise. Phys. Rev., A44, 4521-4540.
7. Breuer, H. P., Dietz, K. and Holthaus, M. (1988). Strong laser fields interacting with matter I. Z. Phys., D10, 13-26.
8. Breuer, H. P., Huber, W. and Petruccione, F. (2000). Quasi-stationary distributions of dissipative nonlinear quantum oscillators in strong periodic driving fields. Phys. Rev., E61, 4883-4889.
9. Breuer, H. P. and Petruccione, F. (1997). Dissipative quantum systems in strong laser fields:Stochastic wave-function method and Floquet theory. Phys. Rev., A55, 3101-3116.
10. Castin, Y. and Mølmer, K. (1995). Monte Carlo wave-function analysis of 3d optical molasses. Phys. Rev. Lett., 74, 3772-3775.
11. Cohen-Tannoudji, C., Bardou, F. and Aspect, A. (1992). Review on fundamental processes in laser cooling. In Proceedings of Laser Spectroscopy X (eds. Ducloy, M., Giacobino, E. and Camy G.), pp. 3-14, World Scientific, Singapore.
12. Cohen-Tannoudji, C. and Reynaud, S. (1977). Dressed-atom description of resonance fluorescence and absorption spectra of a multi-level atom in an intense laser beam. J. Phys., B10, 345-363.
13. Cohen-Tannoudji, C. and Reynaud, S. (1979). Atoms in strong light-fields: Photon antibunching in single atom fluorescence. Phil. Trans. R. Soc. Lond., A293, 223-237.
14. Cohen-Tannoudji, C. (1992a). Laser cooling and trapping of neutral atoms: Theory. Phys. Rep., 219, 153-164.
15. Cohen-Tannoudji, C. (1992b). Atomic Motion in Laser Light, Les Houches Session LIII on Fundamental Systems in Quantum Optics, pp. 1-164. North-Holland, Elsevier, Amsterdam.
16. Cohen-Tannoudji, C., Dupont-Roc, J. and Grynberg, G. (1998). Atom-Photon Interactions. John Wiley, New York.
17. Kasevich, M. and Chu, S. (1992). Laser cooling below a photon recoil with three-level atoms. Phys. Rev. Lett., 69, 1741-1744.
18. Kohler, S., Dittrich, T. and Hänggi, P. (1997). Floquet-Markovian description of the parametrically driven, dissipative harmonic oscillator. Phys. Rev., E55, 300-313.
19. Lawall, J., Bardou, F., Saubamea, B., Shimizu, K., Leduc, M., Aspect, A. and Cohen-Tannoudji, C. (1994). Two-dimensional subrecoil laser cooling. Phys. Rev. Lett., 73, 1915-1918.
20. Lawall, J., Kulin, S., Saubamea, B., Bigelow, N., Leduc, M. and Cohen-Tannoudji, C. (1995). Threedimensional laser cooling of helium beyond the single-photon recoil limit. Phys. Rev. Lett., 75, 4194-4197.
21. L'Huillier, A., Schafer, K. J. and Kulander, K. C. (1991). Theoretical aspects of intense field harmonic generation. J. Phys., B24, 3315-3341.
22. Mølmer, K., Castin, Y. and Dalibard, J. (1993). Monte Carlo wave-function method in quantum optics. J. Opt. Soc. Am., B10, 524-538.
23. Reichel, J., Bardou, F., Ben Dahan, M., Peik, E., Rand, S., Salomon, C. and Cohen-Tannoudji, C. (1995). Raman cooling of cesium below 3 nK: New approach inspired by Lévy flight statistics. Phys. Rev. Lett., 75, 4575-4578.
24. Shirley, J. H. (1965). Solution of the Schrödinger equation with a Hamiltonian periodic in time. Phys. Rev., 138B, 979-987.
25. Shore, B. W. (1990). The Theory of Coherent Atomic Excitation. Volume 2. Multilevel Atoms and Incoherence. John Wiley, New York.
26. Zeldovich, Ya. B. (1967). The quasienergy of a quantum-mechanical system subjected to a periodic action. Sov. Phys. JETP, 24, 1006-1008.
27. Alicki, R. and Lendi, K. (1987). Quantum Dynamical Semigroups and Applications, Volume 286 of Lecture Notes in Physics. Springer-Verlag, Berlin.
28. Braginsky, V. B. and Khalili, F. Ya. (1992). Quantum Measurement. Cambridge University Press, Cambridge.
29. Carmichael, H. (1993). An Open Systems Approach to Quantum Optics, Volume m18 of Lecture Notes in Physics. Springer-Verlag, Berlin.
30. Cohen-Tannoudji, C., Dupont-Roc, J. and Grynberg, G. (1998). Atom-Photon Interactions. John Wiley, New York.
31. Davies, E. B. (1976). Quantum Theory of Open Systems. Academic Press, London.
32. Gardiner, C. W. and Zoller, P. (2000). Quantum Noise (second edition). Springer-Verlag, Berlin.
33. Giulini, D., Joos, E., Kiefer, C., Kupsch, J., Stamatescu, I.-O. and Zeh, H. D. (1996). Decoherence and the Appearence of a Classical World in Quantum Theory. Springer-Verlag, Berlin.
34. Louisell, W. (1990). Quantum Statistical Properties of Radiation. John Wiley, New York.
35. Mandel, L. and Wolf, E. (1995). Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge.
36. Nielsen, M. A. and Chuang, I. L. (2000). Quantum Computation and Quantum Information. Cambridge University Press, Cambridge.
37. Scully, M. O. and Zubairy, M. S. (1997). Quantum Optics. Cambridge University Press, Cambridge.
38. Walls, D. F. and Milburn, G. J. (1994). Quantum Optics. Springer-Verlag, Berlin.
39. Weiss, U. (1999). Quantum Dissipative Systems, Volume 2 of Series in Modern Condensed Matter Physics. World Scientific, Singapore.
40. Arnold, L. (1974). Stochastic Differential Equations. John Wiley, New York.
41. Bertoin, J. (1996). Lévy Processes. Cambridge University Press, Cambridge.
42. Bjorken, J. D. and Drell, S. D. (1965). Relativistic Quantum Fields. McGraw-Hill, New York.
43. Davis, M. H. A. (1993). Markov Models and Optimization. Chapman & Hall, London.
44. Doob, J. L. (1953). Stochastic Processes. John Wiley, New York.
45. Feller, W. (1968). An Introduction to Probability Theory and Its Applications, Volume I. (third edition). John Wiley, New York.
46. Feller, W. (1971). An Introduction to Probability Theory and Its Applications, Volume II. (second edition). John Wiley, New York.
47. Gardiner, C. W. (1985). Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (second edition). Springer-Verlag, Berlin.
48. Honerkamp, J. (1998). Statistical Physics. Springer-Verlag, Berlin.
49. Itô, Kiyosi (ed.) (1993). Encyclopedic Dictionary of Mathematics (second edition). The MIT Press, Cambridge, Massachusetts.
50. Klafter, J., Shlesinger, M. F. and Zumolen, G. (1996, February). Beyond Brownian motion. Phys. Today, 49, 33-39.
51. Kloeden, P. E. and Platen, E. (1992). Numerical Solutions of Stochastic Differential Equations. Springer-Verlag, Berlin.
52. Kolmogorov, A. N. (1956). Foundations of the Theory of Probability. Chelsea Publishing Company, New York.
53. Reichl, L. E. (1998). A Modern Course in Statistical Physics (second edition). John Wiley, New York.
54. van Kampen, N. G. (1992). Stochastic Processes in Physics and Chemistry (second edition). North-Holland, Amsterdam.
55. Bouwmeester, D., Ekert, A. and Zeilinger, A. (eds.) (2000). The Physics of Quantum Information. Springer-Verlag, Berlin.
56. Breuer, H. P., Dorner, U. and Petruccione, F. (2001). Preparation and decoherence of superpositions of electromagnetic field states. Eur. Phys. J., D14, 377-386.
57. Brune, M., Hagley, E., Dreyer, J., Maître, X., Maali, A., Wunderlich, C., Raimond, J. M. and Haroche, S. (1996). Observing the progressive decoherence of the "meter" in a quantum measurement. Phys. Rev. Lett., 77, 4887-4890.
58. Caldeira, A. O. and Leggett, A. J. (1985). Influence of damping on quantum interference: An exactly soluble model. Phys. Rev., A31, 1059-1066.
59. DiVincenzo, D. P. (1995). Two-bit gates are universal for quantum computation. Phys. Rev., A51, 1015-1022.
60. Everett III, H. (1957). "Relative state" formulation of quantum mechanics. Rev. Mod. Phys., 29, 454-462.
61. Friedman, J. R., Patel, V., Chen, W., Tolpygo, S. K. and Lukens, J. E. (2000). Quantum superposition of distinct macroscopic states. Nature, 406, 43-46.
62. Gallis, M. R. and Fleming, G. N. (1990). Environmental and spontaneous localization. Phys. Rev., A42, 38-42.
63. Joos, E. and Zeh, H. D. (1985). The emergence of classical properties through interaction with the environment. Z. Phys., B59, 223-243.
64. Joos, E. (1996). Decoherence through interaction with the environment. In Decoherence and the Appearence of a Classical World in Quantum Theory (eds. Giulini, D., Joos, E., Kiefer, C., Kupsch, J., Stamatescu, I.-O. and Zeh, H. D.), Springer-Verlag, Berlin, pp. 35-136.
65. Maître, X., Hagley, E., Dreyer, J., Maali, A., Wunderlich, C., Brune, M., Raimond, J. M. and Haroche, S. (1997). An experimental study of a Schrödinger cat decoherence with atoms and cavities. J. Mod. Opt., 44, 2023-2032.
66. Myatt, C. J., King, B. E., Turchette, Q. A., Sackett, C. A., Kielpinski, D., Itano, W. M., Monroe, C. and Wineland, D. J. (2000). Decoherence of quantum superpositions through coupling to engineered reservoirs. Nature, 403, 269-273.
67. Palma, G. M., Suominen, K.-A. and Ekert, A. K. (1996). Quantum computers and dissipation. Proc. R. Soc. Lond., A452, 567-584.
68. Savage, C. M. and Walls, D. F. (1985a). Damping of quantum coherence: The master-equation approach. Phys. Rev., A32, 2316-2323.
69. Savage, C. M. and Walls, D. F. (1985b). Quantum coherence and interference of damped free particles. Phys. Rev., A32, 3487-3492.
70. Schrödinger, E. (1935). Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften, 23, 807-812, 823-828, 844-849.
71. Steane, A. (1998). Quantum computing. Rep. Prog. Phys., 61, 117-173.
72. Tegmark, M. (1993). Apparent wave function collapse caused by scattering. Found. Phys. Lett., 6, 571-590.
73. Turchette, Q. A., Myatt, C. J., King, B. E., Sackett, C. A., Kielpinski, D., Itano, W. M., Monroe, C. and Wineland, D. J. (2000). Decoherence and decay of motional quantum states of a trapped atom coupled to engineered reservoirs. Phys. Rev., A62, 053807, 1-22.
74. Unruh, W. G. and Zurek, W. H. (1989). Reduction of a wave packet in quantum Brownian motion. Phys. Rev., D40, 1071-1094.
75. Unruh, W. G. (1995). Maintaining coherence in quantum computers. Phys. Rev. A, 51, 992-997.
76. Walls, D. F., Collet, M. J. and Milburn, G. J. (1985). Analysis of a quantum measurement. Phys. Rev., D32, 3208-3215.
77. Walls, D. F. and Milburn, G. J. (1994). Quantum Optics. Springer-Verlag, Berlin.
78. Zurek, W. H. (1981). Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? Phys. Rev., D24, 1516-1525.
79. Zurek, W. H. (1982). Environment-induced superselection rules. Phys. Rev., D26, 1862-1880.
80. Zurek, W. H. (1991). Decoherence and the transition from quantum to classical. Phys. Today, 44, 36-44.
81. Zurek, W. H. (1998). Decoherence, einselection and the existential interpretation (the rough guide). Phil. Trans. R. Soc. Lond., A356, 1793-1821.
82. Aharonov, Y. and Albert, D. Z. (1980). States and observables in relativistic quantum field theories. Phys. Rev., D21, 3316-3324.
83. Aharonov, Y. and Albert, D. Z. (1981). Can we make sense out of the measurement process in relativistic quantum mechanics? Phys. Rev., D24, 359-370.
84. Aharonov, Y. and Albert, D. Z. (1984a). Is the usual notion of time evolution adequate for quantum+mechanical system? I. Phys. Rev., D29, 223-227.
85. Aharonov, Y. and Albert, D. Z. (1984b). Is the usual notion of time evolution adequate for quantum mechanical system? II. Relativistic considerations. Phys. Rev., D29, 228-234.
86. Aharonov, Y., Albert, D. Z. and Vaidman, L. (1986). Measurement process in relativistic quantum theory. Phys. Rev., D34, 1805-1813.
87. Bell, J. S. (1964). On the Einstein-Podolsky-Rosen paradox. Physics, 1, 195-200.
88. Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A. and Wootters, W. K. (1993). Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett., 70, 1895-1899.
89. Bloch, I. (1967). Some relativistic oddities in the quantum theory of observation. Phys. Rev., 156, 1377-1384.
90. Bohm, D. (1951). Quantum Theory. Prentice+Hall, New York.
91. Bohr, N. and Rosenfeld, L. (1933). Zur Frage der Meßbarkeit der elektromagnetischen Feldgrößen. Det Kgl. Danske Videnskabernes Selskab., Mathematisk+fysiske Meddelelser XII, 8, Kopenhagen.
92. Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H. and Zeilinger, A. (1997). Experimental quantum teleportation. Nature, 390, 575-579.
93. Braunstein, S. L. and Mann, A. (1995). Measurement of the Bell operator and quantum teleportation. Phys. Rev., A51, R1727-1730.
94. Breuer, H. P. and Petruccione, F. (1998). Relativistic formulation of quantum+state diffusion. J. Phys. A:Math. Gen., 31, 33-52.
95. Breuer, H. P. and Petruccione, F. (1999). State vector reduction in relativistic quantum mechanics: An introducion. In Open Systems and Measurement in Relativistic Quantum Theory (eds. Breuer, H. P. and Petruccione, F.), Volume 526 of Lecture Notes in Physics,1-30. Springer+Verlag, Berlin.
96. Breuer, H. P. and Petruccione, F. (2001). Relativistic theory of continuous measurements. In Chance in Physics. Foundations and Perspectives (eds. Bricmont, J., Dürr, D., Galavotti, M. C., Ghirardi, G., Petruccione, F. and Zanghi, N.), Volume 574 of Lecture Notes in Physics, pp. 195-212, Springer+Verlag, Berlin.
97. Clauser, J. F. and Shimony, A. (1978). Bell's theorem: Experimental tests and implications. Rep. Prog. Phys., 41, 1881-1927.
98. Diòsi, L. (1991). Covariant formulation of multiple localized quantum measurements. Phys. Rev., A43, 17-21.
99. Einstein, A., Podolsky, B. and Rosen, N. (1935). Can quantum+mechanical description of physical reality be considered complete? Phys. Rev., 47, 777-780.
100. Jauch, J. M. and Rohrlich, F (1980). The Theory of Photons and Electrons. Springer+Verlag, New York.
101. Landau, L. and Peierls, R. (1931). Erweiterung des Unbestimmtheitsprinzips für die relativistische Quantentheorie. Z. Phys., 69, 56-69.
102. Michler, M., Mattle, K., Weinfurter, H. and Zeilinger, A. (1996). Interferometric Bell+state analysis. Phys. Rev., A53, R1209-R1212.
103. Misner, C. W., Thorne, K. S. and Wheeler, J. A. (1973). Gravitation. Freeman, San Francisco.
104. Popescu, S. and Vaidman, L. (1994). Causality constraints on nonlocal quantum measurements. Phys. Rev., A49, 4331-4338.
105. Schweber, S. S. (1961). An Introduction to Relativistic Quantum Field Theory. Row, Peterson and Company, Evanston, Illinois.
106. Schwinger, J. (1948). Quantum electrodynamics. I. A covariant formulation. Phys. Rev., 74, 1439-1461.
107. Sorkin, R. D. (1993). Impossible measurements on quantum fields. In Directions in General Relativity (eds. Hu, B. L. and Jacobson, T. A.), Volume 2. Cambridge University Press, Cambridge.
108. Tomonaga, S. (1946). On a relativistically invariant formulation of the quantum theory of wave fields. I. Prog. Theor. Phys., 1, 27-42.
109. Tomonaga, S. (1947). On a relativistically invariant formulation of the quantum theory of wave fields. II. Prog. Theor. Phys., 2, 101-116.
110. Vaidman, L. (1994). Teleportation of quantum states. Phys. Rev., A49, 1473-1476.
111. Weinberg, S. (1995). The Quantum Theory of Fields, Volume I. Cambridge University Press, Cambridge.
112. Breuer, H. P., Kappler, B. and Petruccione, F. (1999). Stochastic wave-function method for non-Markovian quantum master equations. Phys. Rev., A59, 1633-1643.
113. Breuer, H. P., Kappler, B. and Petruccione, F. (2001). The time-convolutionless projection operator technique in the quantum theory of dissipation and decoherence. Ann. Phys. (N. Y.), 291, 36-70.
114. Chang, T.-M. and Skinner, J. L. (1993). Non-Markovian population and phase relaxation and absorption lineshape for a two-level system strongly coupled to a harmonic quantum bath. Physica A, 193, 483-539.
115. De Raedt, B. and De Raedt, H. (1984). Thermodynamics of a two-level system coupled to bosons. Phys. Rev., B29, 5325-5336.
116. Egger, R., Grabert, H. and Weiss, U. (1997). Crossover from coherent to incoherent dynamics in damped quantum systems. Phys. Rev., E55, R3809-R3812.
117. Ford, G. W. and O'Connell, R. F. (1996). There is no quantum regression theorem. Phys. Rev. Lett., 77, 798-801.
118. Garraway, B. M. (1997). Nonperturbative decay of an atomic system in a cavity. Phys. Rev., A55, 2290-2303.
119. Grabert, H. (1982). Nonlinear relaxation and fluctuations of damped quantum systems. Z. Phys., B49, 161-172.
120. Grabert, H., Schramm, P. and Ingold, G.-L. (1988). Quantum Brownian motion: The functional integral approach. Phys. Rep., 168, 115-207.
121. Haake, F. and Reibold, R. (1985). Strong damping and low-temperature anomalies for the harmonic oscillator. Phys. Rev., A32, 2462-2475.
122. Hu, B. L., Paz, J. P. and Zhang, Y. (1992). Quantum Brownian motion in a general environment: Exact master equation with nonlocal dissipation and colored noise. Phys. Rev., D45, 2843-2861.
123. Karrlein, R. and Grabert, H. (1997). Exact time evolution and master equations for the damped harmonic oscillator. Phys. Rev., E55, 153-164.
124. Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A. and Zwerger, W. (1987). Dynamics of the dissipative two-state system. Rev. Mod. Phys., 59, 1-85.
125. Săndulescu, A. and Scutaru, H. (1987). Open quantum systems and the damping of collective modes in deep ineleastic collisions. Ann. Phys. (N.Y.), 173, 277-317.
126. Talkner, P. (1995). The failure of the quantum regression hypothesis. Ann. Phys. (N.Y.), 167, 390-436.
127. Weisskopf, V. and Wigner, E. (1930). Berechnung der natürlichen Linienbreite auf Grund der Diracschen Lichttheorie. Z. Phys., 63, 54-73.
128. Anglin, J. R, Paz, J. P. and Zurek, W. H. (1997). Deconstructing decoherence. Phys. Rev., A55, 4041-4053.
129. Barone, P. M. V. B. and Caldeira, A. O. (1991). Quantum mechanics of radiation damping. Phys. Rev., A43, 57-63.
130. Bjorken, J. D. and Drell, S. D. (1964). Relativistic Quantum Mechanics. McGraw-Hill, New York.
131. Breuer, H. P. and Petruccione, F. (2000). Radiation damping and decoherence in quantum electrodynamics. In Relativistic Quantum Measurement and Decoherence (eds. Breuer, H. P. and Petruccione, F.), Volume 559 of Lecture Notes in Physics, pp. 31-65. Springer-Verlag, Berlin.
132. Breuer, H. P. and Petruccione, F. (2001). Destruction of quantum coherence through emission of bremsstrahlung. Phys. Rev., A63, 032102-1(18).
133. Chou, K.-c, Su, Z.-b, Hao, B.-l. and Yu, L. (1985). Equilibrium and nonequi-librium formalisms made unified. Phys. Rep., 118, 1-131.
134. Cohen-Tannoudji, C., Dupont-Roc, J. and Grynberg, G. (1998). Atom-Photon Interactions. John Wiley, New York.
135. Diòsi, L. (1990). Landau's density matrix in quantum electrodynamics. Found. Phys., 20, 63-70.
136. Dürr, D. and Spohn, H. (2000). Decoherence through coupling to the radiation field. In Decoherence:Theoretical, Experimental, and Conceptual Problems (eds. Blanchard, P., Giulini, D., Joos, E., Kiefer, C. and Stamatescu, I.-O.), Volume 538 of Lecture Notes in Physics, pp. 77-86. Springer-Verlag, Berlin.
137. Feynman, R. P. and Vernon, F. L. (1963). The theory of a general quantum system interacting with a linear dissipative system. Ann. Phys. (N. Y.), 24, 118-173.
138. Feynman, R. P. and Hibbs, A. R. (1965). Quantum Mechanics and Path Integrals. McGraw-Hill, New York.
139. Ford, L. H. (1993). Electromagnetic vacuum fluctuations and electron coherence. Phys. Rev., D47, 5571-5580.
140. Gradshteyn, I. S. and Ryzhik, I. M. (1980). Table of Integrals, Series, and Products. Academic Press, New York.
141. Hasselbach, F., Kiesel, H. and Sonnentag, P. (2000). Exploration of the fundamentals of quantum mechanics by charged particle interferometry. In Decoherence: Theoretical, Experimental, and Conceptual Problems (eds. Blanchard, P., Giulini, D., Joos, E., Kiefer, C. and Stamatescu, I.-O.), Volume 538 of Lecture Notes in Physics, pp. 201-212. Springer-Verlag, Berlin.
142. Itzykson, C. and Zuber, J.-B. (1980). Quantum Field Theory. McGraw-Hill, New York.
143. Jackson, J. D. (1999). Classical Electrodynamics (third edition). John Wiley, New York.
144. Jauch, J. M. and Rohrlich, F. (1980). The Theory of Photons and Electrons. Springer-Verlag, New York.
145. Joos, E. (1996). Decoherence through interaction with the environment. In Decoherence and the Appearence of a Classical World in Quantum Theory (eds. Giulini, D., Joos, E., Kiefer, C., Kupsch, J., Stamatescu, I.-O. and Zeh, H. D.), pp. 35-136. Springer-Verlag, Berlin.
146. Rohrlich, F. (1965). Classical Charged Particles. Addison-Wesley, Reading, Massachusetts.
147. Weinberg, S. (1995). The Quantum Theory of Fields, Volume I. Cambridge University Press, Cambridge.
148. Wheeler, J. A. and Feynman, R. P. (1945). Interaction with the absorber as the mechanism of radiation. Rev. Mod. Phys., 17, 157-181.
149. Wheeler, J. A. and Feynman, R. P. (1949). Classical electrodynamics in terms of direct interparticle action. Rev. Mod. Phys., 21, 425-433.
150. Bach, A. (1979). Quantum mechanics and integration in Hilbert space. Phys. Lett., A73, 287-288.
151. Bach, A. (1980). A probabilistic formulation of quantum theory. J. Math. Phys., 21, 789-793.
152. Bach, A. (1981). Aspects of a representation of quantum theory in terms of classical probability theory by means of integration in Hilbert space. J. Phys. A: Math. Gen., 14, 125-132.
153. Bach, A. and Wenning, T. (1982). A probabilistic formulation of quantum theory. II. J. Math. Phys., 23, 1078-1081.
154. Breuer, H. P. and Petruccione, F. (1995). Stochastic dynamics of open quantum systems: Derivation of the differential Chapman-Kolmogorov equation. Phys. Rev., E51, 4041-4054.
155. Breuer, H. P. and Petruccione, F. (1996). Quantum measurement and the transformation from quantum to classical probabilities. Phys. Rev., A54, 1146-1153.
156. Cyranski, J. F. (1982). Quantum theory as a probability theory on Hilbert space. J. Math. Phys., 23, 1074-1077.
157. Gihman, I. I. and Skorohod, A. V. (1980). The Theory of Stochastic Processes I. Springer-Verlag, Berlin.
158. Mølmer, K., Castin, Y., and Dalibard, J. (1993). Monte-Carlo wave function method in quantum optics. J. Opt. Soc. Am., B10, 524-538.
159. von Neumann, J. (1955). Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton.
160. Skorohod, A. V. (1974). Integration in Hilbert Space. Springer-Verlag, New York.
161. Wiseman, H. M. (1993). Stochastic quantum dynamics of a continuously monitored laser. Phys. Rev., A47, 5180-5192.
162. Wiseman, H. M. and Milburn, G. (1993a). Quantum theory of field-quadrature measurements. Phys. Rev., A47, 642-662.
163. Wiseman, H. M. and Milburn, G. (1993b). Interpretation of quantum jump and diffusion processes illustrated on the Bloch sphere. Phys. Rev., A47, 1652-1666.
164. Balescu, R. (1975). Equilibrium and Nonequilibrium Statistical Mechanics. John Wiley, New York.
165. Breuer, H. P., Kappler, B. and Petruccione, F. (1999). Stochastic wave-function method for non-Markovian quantum master equations. Phys. Rev., A59, 1633-1643.
166. Breuer, H. P., Kappler, B. and Petruccione, F. (2001). The time-convolutionless projection operator technique in the quantum theory of dissipation and decoherence. Ann. Phys. (N. Y.), 291, 36-70.
167. Chang, T.-M. and Skinner, J. L. (1993). Non-Markovian population and phase relaxation and absorption lineshape for a two-level system strongly coupled to a harmonic quantum bath. Physica, A193, 483-539.
168. Chaturvedi, S. and Shibata, F. (1979). Time-convolutionless projection operator formalism for elimination of fast variables. Application to Brownian motion. Z. Phys., B35, 297-308.
169. Grabert, H. (1982). Projection Operator Techniques in Nonequilibrium Statistical Mechanics, Volume 95 of Springer Tracts in Modern Physics. Springer-Verlag, Berlin.
170. Haake, F. (1973) Statistical treatment of open systems by generalized master equations. Springer Tracts in Modern Physics, 66, 98-168.
171. Kubo, R., Toda, M. and Hashitsume, N. (1985). Statistical Physics II. Nonequilibrium Statistical Mechanics. Springer-Verlag, Berlin.
172. Nakajima, S. (1958). On quantum theory of transport phenomena. Progr. Theor. Phys., 20, 948-959.
173. Prigogine, I. (1962). Non-Equilibrium Statistical Mechanics. Interscience Publishers, New York.
174. Shibata, F. and Arimitsu, T. (1980). Expansion formulas in nonequilibrium statistical mechanics. J. Phys. Soc. Jap., 49, 891-897.
175. Shibata, F. and Takahashi, Y. and Hashitsume, N. (1977). A generalized stochastic Liouville equation. Non-Markovian versus memoryless master equations. J. Stat. Phys., 17, 171-187.
176. van Kampen, N. G. (1974a). A cumulant expansion for stochastic linear differential equations. I. Physica, 74, 215-238.
177. van Kampen, N. G. (1974b). A cumulant expansion for stochastic linear differential equations. II. Physica, 74, 239-247.
178. Zwanzig, R. (1960). Ensemble method in the theory of irreversibility. J. Chem. Phys., 33, 1338-1341.
179. Alicki, R. and Messer, J. (1983). Nonlinear quantum dynamical semigroups for many-body open systems. J. Stat. Phys., 32, 299-312.
180. Alicki, R. and Lendi, K. (1987). Quantum Dynamical Semigroups and Applications,Volume 286 of Lecture Notes in Physics. Springer-Verlag, Berlin.
181. Alicki, R. and Fannes, M. (2001). Quantum Dynamical Systems. Oxford University Press, Oxford.
182. Bausch, R. (1966). Bewegungsgesetze nicht abgeschlossener Quantensysteme. Z. Phys., 193, 246-265.
183. Blum, K. (1981). Density Matrix Theory and Applications. Plenum Press, New York, London.
184. Caldeira, A. O. and Leggett, A. J. (1983). Path integral approach to quantum Brownian motion. Physica, 121A, 587-616.
185. Cohen-Tannoudji, C., Dupont-Roc, J. and Grynberg, G. (1998). Atom-Photon Interactions. John Wiley, New York.
186. Davies, E. B. (1974). Markovian master equations. Commun. Math. Phys., 39, 91-110.
187. Davies, E. B. (1976). Quantum Theory of Open Systems. Academic Press, London.
188. Dümcke, R. and Spohn, H. (1979). The proper form of the generator in the weak coupling limit. Z. Phys., B34, 419-422.
189. Dümcke, R. (1985). The low density limit for an N-level system interacting with a free Bose or Fermi gas. Commun. Math. Phys., 97, 331-359.
190. Feynman, R. P. and Vernon, F. L. (1963). The theory of a general quantum system interacting with a linear dissipative system. Ann. Phys. (N.Y.), 24, 118-173.
191. Gardiner, C. W. and Collett, M. J. (1985). Input and output in damped quantum systems: Quantum stochastic differential equations and the quantum master equation. Phys. Rev., A31, 3761-3774.
192. Gardiner, C. W. and Zoller, P. (2000). Quantum Noise (second edition). Springer-Verlag, Berlin.
193. Glauber, R. J. (1963). Coherent and incoherent states of the radiation field. Phys. Rev., 131, 2766-2788.
194. Gordon, J. P. (1967). Quantum theory of a simple maser oscillator. Phys. Rev., 161, 367-386.
195. Gorini, V., Kossakowski, A. and Sudarshan, E. C. G. (1976). Completely positive dynamical semigroups of N-level systems. J. Math. Phys., 17, 821-825.
196. Gorini, V., Frigerio, A., Verri, M., Kossakowski, A. and Sudarshan, E. C. G. (1978). Properties of quantum Markovian master equations. Rep. Math. Phys., 13, 149-173.
197. Grabert, H., Schramm, P. and Ingold, G.-L. (1988). Quantum Brownian motion: The functional integral approach. Phys. Rep., 168, 115-207.
198. Gross, M. and Haroche, S. (1982). Superradiance: An essay on the theory of collective spontaneous emission. Phys. Rep., 93, 301-396.
199. Haake, F. (1973). Statistical treatment of open systems by generalized master equations. Springer Tracts in Modern Physics, 66, 98-168.
200. Haken, H. (1975). Analogy between higher instabilities in fluids and lasers. Phys. Lett., A53, 77-78.
201. Haken, H. (1984). Laser Theory. Springer-Verlag, Berlin.
202. Hartig, W., Rasmussen, W., Schieder, R. and Walther, H. (1976). Study of the frequency distribution of the fluorescent light induced by monochromatic radiation. Z. Phys., A278, 205-210.
203. Itano, W. M., Heinzen, D. J., Bollinger, J. J. and Wineland, D. J. (1990). Quantum Zeno effect. Phys. Rev., A41, 2295-2300.
204. Klauder, J. R., McKenna, J. and Currie, D. G. (1965). On "diagonal" coherent-state representations for quantum-mechanical density matrices. J. Math. Phys., 6, 734-739.
205. Kraus, K. (1971). General state changes in quantum theory. Ann. Phys. (N.Y.), 64, 311-335.
206. Landau, L. D. and Lifshitz, E. M. (1958). Statistical Physics. Pergamon Press, London.
207. Lax, M. (1963). Formal theory of quantum fluctuations from a driven state. Phys. Rev., 129, 2342-2348.
208. Lax, M. (1966). Quantum noise. IV. Quantum theory of noise sources. Phys. Rev., 145, 110-129.
209. Lindblad, G. (1975). Completely positive maps and entropy inequalities. Commun. Math. Phys., 40, 147-151.
210. Lindblad, G. (1976). On the generator of quantum dynamical semigroups. Commun. Math. Phys., 48, 119-130.
211. Louisell, W. (1990). Quantum Statistical Properties of Radiation. John Wiley, New York.
212. Mandel, L. and Wolf, E. (1995). Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge.
213. Mollow, B. R. (1969). Power spectrum of light scattered by two-level systems. Phys. Rev., 188, 1969-1975.
214. Redfield, A. G. (1957). On the theory of relaxation processes. IBM J. Res. Dev., 1, 19-31.
215. Reichl, L. E. (1998). A Modern Course in Statistical Physics (second edition). John Wiley, New York.
216. Scully, M. O. and Zubairy, M. S. (1997). Quantum Optics. Cambridge University Press, Cambridge.
217. Spohn, H. (1978). Entropy production for quantum dynamical semigroups. J. Math. Phys., 19, 1227-1230.
218. Spohn, H. (1980). Kinetic equations from Hamiltonian dynamics: Markovian limits. Rev. Mod. Phys., 53, 569-615.
219. Sudarshan, E. C. G. (1963). Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams. Phys. Rev. Lett., 10, 277-279.
220. Walls, D. F. and Milburn, G. J. (1994). Quantum Optics. Springer-Verlag, Berlin.
221. Weiss, U. (1999). Quantum Dissipative Systems (second edition). World Scientific, Singapore.
222. Wu, F. Y., Grove, R. E. and Ezekiel, S. (1975). Investigation of the spectrum of resonance fluorescence induced by a monochromatic field. Phys. Rev. Lett., 35, 1426-1429.
223. Akhiezer, N. I. and Glazman, I. M. (1981). Theory of Linear Operators in Hilbert Space. Pitman, Boston.
224. Bocko, M. F. and Onofrio, R. (1996). On the measurement of a weak classical force coupled to a harmonic oscillator: Experimental progress. Rev. Mod. Phys., 68, 775-799.
225. Bohm, A. (1993). Quantum Mechanics (third edition). Springer-Verlag, New York.
226. Braginsky V. B. and Khalili, F. Ya. (1992). Quantum Measurement. Cambridge University Press, Cambridge.
227. Cohen-Tannoudji, C., Diu, B. and Laloë, F. (1977). Quantum Mechanics, Volume I and II. John Wiley, New York.
228. Davies, E. B. (1976). Quantum Theory of Open Systems. Academic Press, London.
229. Gorini, V., Kossakowski, A. and Sudarshan, E. C. G. (1976). Completely positive dynamical semigroups of N-level systems. J. Math. Phys., 17, 821-825.
230. Gottfried, K. (1974). Quantum Mechanics. W. A. Benjamin, Reading, Massachusetts.
231. Gudder, S. P. (1979). Stochastic Methods in Quantum Mechanics. Elsevier, North Holland, New York.
232. Holevo, A. S. (1982). Probabilistic and Statistical Aspects of Quantum Theory, Volume I of North-Holland Series in Statistics and Probability. North-Holland, Amsterdam.
233. Hughston, L. P., Jozsa, R. and Wootters, W. K. (1993). A complete classification of quantum ensembles having a given density matrix. Phys. Lett., A183, 14-18.
234. Kraus, K. (1983). States, Effects, and Operations, Volume 190 of Lecture Notes in Physics. Springer-Verlag, Berlin.
235. Landau, L. D. and Lifshitz, E. M. (1958). Quantum Mechanics. Pergamon Press, London.
236. Langerholc, J. (1965). Trace formalism for quantum mechanical expectation values. J. Math. Phys., 6, 1210-1218.
237. Lieb, E. H. (1973). Proof of the strong subadditivity of quantum-mechanical entropy. J. Math. Phys., 14, 1938-1941.
238. Louisell, W. H. (1990). Quantum Statistical Properties of Radiation. John Wiley, New York.
239. Lüders, G. (1951). Über die Zustandsänderung durch den Meßprozeß. Ann. Phys. (Leipzig), 8, 322-328.
240. Nelson, E. (1967). Dynamical Theories of Brownian Motion. Princeton University Press, Princeton.
241. Nielsen, M. A. and Chuang, I. L. (2000). Quantum Computation and Quantum Information. Cambridge University Press, Cambridge.
242. von Neumann, J. (1955). Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton.
243. Werl, A. (1978). General properties of entropy. Rev. Mod. Phys., 50, 221-260.
244. Barchielli, A. and Belavkin, V. P. (1991). Measurements continuous in time and a posteriori states in quantum mechanics. J. Phys. A: Math. Gen., 24, 1495-1514.
245. Breuer, H. P. and Petruccione, F. (1995a). Reduced system dynamics as a stochastic process in Hilbert space. Phys. Rev. Lett., 74, 3788-3791.
246. Breuer, H. P. and Petruccione, F. (1995b). Stochastic dynamics of quantum jumps. Phys. Rev., E52, 428-441.
247. Breuer, H. P. and Petruccione, F. (1996a). Hilbert space path integral representation for the reduced dynamics of matter in thermal radiation fields. J. Phys. A: Math. Gen., 29, 7837-7853.
248. Breuer, H. P. and Petruccione, F. (1996b). Quantum measurement and the transformation from quantum to classical probabilities. Phys. Rev., A54, 1146-1153.
249. Breuer, H. P. and Petruccione, F. (1997). Stochastic dynamics of reduced wave functions and continuous measurement in quantum optics. Fortschr. Phys., 45, 39-78.
250. Breuer, H. P., Kappler, B. and Petruccione, F. (1997). Stochastic wave-function approach to the calculation of multitime correlation functions of open quantum systems. Phys. Rev., A56, 2334-2351.
251. Breuer, H. P., Kappler, B. and Petruccione, F. (1998). Heisenberg picture operators in the stochastic wave function approach to open quantum systems. Eur. Phys. J., D1, 9-13.
252. Carmichael, H. (1993). An Open Systems Approach to Quantum Optics, Volume m18 of Lecture Notes in Physics. Springer-Verlag, Berlin.
253. Carmichael, H. J., Singh, S., Vyas, R. and Rice, P. R. (1989). Photoelectron waiting times and atomic state reduction in resonance fluorescence. Phys. Rev., A39, 1200-1218.
254. Castin, Y. and Mølmer, K. (1995). Monte Carlo wave-function analysis of 3d optical molasses. Phys. Rev. Lett., 74, 3772-3775.
255. Dalibard, J., Castin, Y. and Mølmer, K. (1992). Wave-function approach to dissipative processes in quantum optics. Phys. Rev. Lett., 68, 580-583.
256. Davies, E. B. (1969). Quantum stochastic processes. Commun. Math. Phys., 15, 277-304.
257. Dum, R., Parkins, A. S., Zoller, P. and Gardiner, C. W. (1992). Monte Carlo simulation of master equations in quantum optics for vacuum, thermal, and squeezed reservoirs. Phys. Rev., A46, 4382-4396.
258. Dum, R., Zoller, P. and Ritsch, H. (1992). Monte Carlo simulation of the atomic master equation for spontaneous emission. Phys. Rev., A45, 4879-4887.
259. Gardiner, C. W., Parkins, A. S. and Zoller, P. (1992). Wave-function quantum stochastic differential equations and quantum-jump simulation methods. Phys. Rev., A46, 4363-4381.
260. Garraway, B. M. and Knight, P. L. (1994). Evolution of quantum superpositions in open environments:Quantum trajectories, jumps, and localization in phase space. Phys. Rev., A50, 2548-2563.
261. Ghirardi, G. C., Rimini, A. and Weber, T. (1986). Unified dynamics for microscopic and macroscopic systems. Phys. Rev., D34, 470-491.
262. Ghirardi, G. C., Pearle, P. and Rimini, A. (1990). Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles. Phys. Rev., A42, 78-89.
263. Gisin, N. (1984). Quantum measurements and stochastic processes. Phys. Rev. Lett., 52, 1657-1660.
264. Gisin, N. (1989). Stochastic quantum dynamics and relativity. Helv. Phys. Acta, 62, 363-371.
265. Gisin, N. and Percival, I. C. (1992). The quantum-state diffusion model applied to open systems. J. Phys. A:Math. Gen., 25, 5677-5691.
266. Gisin, N. and Percival, I. C. (1993). Quantum state diffusion, localization and quantum dispersion entropy. J. Phys. A: Math. Gen., 26, 2233-2243.
267. Goetsch, P., Graham, R. and Haake, F. (1995) Schrödinger cat states and single runs for the damped harmonic oscillator. Phys. Rev., A51, 136-142.
268. Hegerfeldt, G. C. and Wilser, T. S. (1991). Ensemble or individual system, collapse or no collapse: A description of a single radiating atom. In Classical and Quantum Systems: Foundations and Symmetries, (eds. Doebner, H. D., Scherer, W. and Schroeck, F., Jr.), pp. 104-115, World Scientific, Singapore.
269. Mandel, L. and Wolf, E. (1995). Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge.
270. Marte, P., Dum, R., Taïeb, R., Lett, P. D. and Zoller, P. (1993a). Quantum wave function simulation of the resonance fluorescence spectrum from one-dimensional optical molasses. Phys. Rev. Lett., 71, 1335-1338.
271. Marte, P., Dum, R., Taïeb, R. and Zoller, P. (1993b). Resonance fluorescence from quantized onedimensional molasses. Phys. Rev., A47, 1378-1390.
272. Mollow, B. R. (1968). Quantum theory of field attenuation. Phys. Rev., 168, 1896-1919.
273. Mollow, B. R. (1969). Power spectrum of light scattered by two-level systems. Phys. Rev., 188, 1969-1975.
274. Mollow, B. R. (1975). Pure-state analysis of resonant light scattering: Radiative damping, saturation, and multiphoton effects. Phys. Rev., A12, 1919-1943.
275. Mølmer, K. and Castin, Y. (1996). Monte Carlo wavefunctions in quantum optics. Quantum Semiclass. Opt., 8, 49-72.
276. Mølmer, K., Castin, Y. and Dalibard, J. (1993). Monte Carlo wave function method in quantum optics. J. Opt. Soc. Am., B10, 524-538.
277. Pearle, P. (1976). Reduction of the state vector by a nonlinear Schrödinger equation. Phys. Rev., D13, 857-868.
278. Pearle, P. (1989). Combining stochastic dynamical state-vector reduction with spontaneous localization. Phys. Rev., A39, 2277-2289.
279. Percival, I.C. (1998). Quantum State Diffusion. Cambridge University Press, Cambridge.
280. Plenio, M. B. and Knight, P. L. (1998). The quantum-jump approach to dissipative dynamics in quantum optics. Rev. Mod. Phys., 70, 101-144.
281. Scully, M. O. and Lamb, W. E., Jr. (1969). Quantum theory of an optical maser. III. Theory of photoelectron counting statistics. Phys. Rev, 179, 368-374.
282. Selloni, A., Schwendimann, P., Quattropani, A. and Baltes, H. P. (1978). Open-system theory of photodetection: Dynamics of field and atomic moments. J. Phys. A: Math. Gen., 11, 1427-1438.
283. Srinivas, M. D. and Davies, E. B. (1981). Photon counting probabilities in quantum optics. Opt. Acta, 28, 981-996.
284. Walls, D. F., Collet, M. J., and Milburn, G. J. (1985). Analysis of a quantum measurement. Phys. Rev., D32, 3208-3215.
285. Walls, D. F. and Milburn, G. J. (1994). Quantum Optics. Springer-Verlag, Berlin.
286. Wiseman, H. M. (1994). Quantum Trajectories and Feedback. PhD Thesis, Department of Physics, University of Queensland.
287. Wiseman, H. M. and Milburn, G. J. (1993a). Quantum theory of field-quadrature measurements. Phys. Rev., A47, 642-662.
288. Wiseman, H. M. and Milburn, G. J. (1993b). Interpretation of quantum jump and diffusion processes illustrated on the Bloch sphere. Phys. Rev., A47, 1652-1666.
289. Binder, K. (ed.) (1995). The Monte Carlo Method in Condensed Matter Physics. Springer-Verlag, Berlin.
290. Blue, J. L., Beichl, I. and Sullivan, F. (1995). Faster Monte Carlo simulations. Phys. Rev., E51, R867-R868.
291. Breuer, H. P., Huber, W. and Petruccione, F. (1996). Fast Monte Carlo algorithm for nonequilibrium systems. Phys. Rev., E53, 4232-4235.
292. Breuer, H. P., Huber, W. and Petruccione, F. (1997). Stochastic wave-function method versus density matrix: a numerical comparison. Comp. Phys. Commun., 104, 46-58.
293. Breuer, H. P., Dorner, U. and Petruccione, F. (2000). Numerical integration methods for stochastic wave function equations. Comp. Phys. Commun., 132, 30-43.
294. Ferrenberg, A. M., Landau, D. P. and Binder, K. (1991). Statistical and systematic errors in Monte Carlo sampling. J. Stat. Phys., 63, 867-882.
295. Fricke, T. and Schnakenberg, J. (1991). Monte Carlo simulation of an inhomogeneous reaction-diffusion system in the biophysics of receptor cells. Z. Phys., 83, 277-284.
296. Gillespie, D. T. (1976). A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J. Comp. Phys., 22, 403-434.
297. Gillespie, D. T. (1992). Markov Processes. Academic Press, Boston.
298. Hanusse, P. and Blanché, A. (1981). A Monte Carlo method for large reaction-diffusion systems. J. Chem. Phys., 74, 6148-6153.
299. Kloeden, P. E. and Platen, E. (1992). Numerical Solutions of Stochastic Differential Equations. Springer-Verlag, Berlin.
300. Knuth, D. E. (1981). Seminumerical Algorithms. Addison-Wesley, Reading, Mass.
301. Landau, D. P. and Binder, K. (2000). A Guide to Monte Carlo Simulations in Statistical Physics. Cambridge University Press, Cambridge.
302. Maksym, P. A. (1988). Fast Monte Carlo simulation of mbe growth. Semiconductor Science and Technology, 3, 594-596.
303. Manz, J. and Wöste, L. (eds.) (1995). Femtosecond Chemistry. VCH, Weinheim, New York.
304. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1992). Numerical Recipes. Cambridge University Press, Cambridge.