Recent developments

Lecture Notes in Physics

Volumn 717, Issue , 2007, Pages 109-121

  Alicki, Robert ^a   Lendi, Karl ^b  

^a UNIVERSITY OF GDA SK   (Poland)

^b UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34147180668     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-70861-8_3     Document Type: Article

References (90)

1. R. Horodecki, P. Horodecki and M. Horodecki, Violating Bell inequality by mixed spin-(1/2) states: Necessary and sufficient conditions, Phys. Lett. A 200, 340 (1995)
2. A. Peres, Separability Criterion for Density Matrices, Phys. Rev. Lett. 77, 1413 (1996)
3. R. Alicki and M. Fannes, Quantum Dynamical Systems, p. 154, Oxford University Press, Oxford 2001
4. G. Sewell, Quantum Mechanics and its Emergent Macrophysics, p. 88, Princeton University Press, Princeton 2002
5. The Physics of Quantum Information, eds. D. Bouwmeester, A. Ekert and A. Zeilinger, Springer, Berlin 2000
6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge 2000
7. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner and A. Zeilinger, Quantum Information, Springer Tracts in Modern Physics, Vol. 173, Springer, Berlin 2001
8. M. Hirvensalo, Quantum Computing, Springer, Berlin 2001
9. E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch and I.-O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory, Springer, Berlin 2003
10. I. Bengtsson and K. Zyczkowski, Geometry of Quantum States, Cambridge University Press, Cambridge 2006
11. Dynamics of Dissipation, eds. P. Garbaczewski and R. Olkiewicz, Lecture Notes in Physics, Vol. 597, Springer, Berlin 2002
12. R. Alicki, Invitation to quantum dynamical semigroups, in: Dynamics of Dissipation, eds. P. Garbaczewski and R. Olkiewicz, Lecture Notes in Physics, Vol. 597, Springer, Berlin 2002
13. Irreversible Quantum Dynamics, eds. F. Benatti and R. Floreanini, Lecture Notes in Physics, Vol. 622, Springer, Berlin 2003
14. R. S. Ingarden, A. Kossakowski and M. Ohya, Information Dynamics and Open Systems, Kluwer, Dordrecht 1997
15. R. Alicki, Quantum Dynamical Semigroups, in: Encyclopedia of Mathematical Physics, Elsevier, Amsterdam (2006)
16. F. Benatti, R. Floreanini and R. Romano, Irreversibility and dissipation in neutral B-meson decays, Nucl. Phys. B 602, 541 (2001)
17. R. Romano, Dissipative Dynamics in Particle Physics, PhD-thesis, University of Trieste, Trieste 2002
18. F. Benatti and R. Floreanini, Effective dissipative dynamics for polarized photons, Phys. Rev. D 62, 125009 (2000)
19. R. Alicki, D. A. Lidar and P. Zanardi, Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit, Phys. Rev. A 73, 052311 (2006)
20. R. Alicki, Limited thermalization for the Markov mean-field model of N atoms in thermal field, Physica A 150, 455 (1988)
21. D. A. Lidar and K. B. Whaley, Decoherence-Free Subspaces and Subsystems, in: Irreversible Quantum Dynamics, eds. F. Benatti and R. Floreanini, Lecture Notes in Physics, Vol. 622, Springer, Berlin 2003
22. R. Alicki, A search for a border between classical and quantum worlds, Phys. Rev. A 65, 034104 (2002)
23. M. Hellmich, Alicki's model of scattering-induced decoherence derived from Hamiltonian dynamics, J. Phys. A: Math. Gen. 37, 8711 (2004)
24. D. Lidar, A. Shabani and R. Alicki, Condition for strictly purity-decreasing quantum Markovian dynamics, Chemical Physics 322 82 (2006)
25. K. Zyczkowski, P. Horodecki, M. Horodecki and R. Horodecki, Dynamics of quantum entanglement, Phys. Rev. A 65, 012101 (2001)
26. J. Lee, I. Kim, D. Ahn, H. McAneney and M. S. Kim, Complete positive non-Markovian decoherence, Phys. Rev. A 70, 024301 (2004)
27. L. Jakóbczyk, Entangling two qubits by dissipation, J. Phys. A: Math. Gen. 35, 6383 (2002)
28. F. Benatti, R. Floreanini and M. Piani, Environment Induced Entanglement in Markovian Dissipative Dynamics, Phys. Rev. Lett. 91, 070402 (2003)
29. F. Benatti and R. Floreanini, Asymptotic Entanglement of Two Independent Systems in a Common Bath, Int J. Quantum Information 4, 395 (2006)
30. K. Lendi and A. J. van Wonderen, Davies theory for reservoir-induced entanglement in a bipartite system, J. Phys. A: Math. Theor. 40, 279 (2007)
31. E. B. Davies, Quantum dynamical semigroups and the neutron diffusion equation, Rep. Math. Phys. 11, 169 (1977)
32. A. M. Chebotarev and F. Fagnola, Sufficient conditions for conservativity of quantum dynamical semigroups, J. Funct. Anal. 153 382 (1998)
33. A. S. Holevo, Covariant quantum Markovian evolutions, J. Math. Phys. 37, 1812 (1996)
34. B. Vacchini, Translation-covariant Markovian master equation for a test particle in a quantum fluid, J. Math. Phys. 42, 4291 (2001)
35. G. Stragier, J. Quaegebeur and A. Verbeure, Quantum detailed balance, Ann. Inst. H. Poincaré A XXXXI, 25 (1984)
36. W. A. Majewski and B. Zegarliński, Quantum Stochastic Dynamics II, Reviews in Mathematical Physics 8, 689 (1996)
37. P. Ługiewicz and R. Olkiewicz, Classical properties of infinite quantum open systems, Commun. Math. Phys. 239, 241 (2003)
38. R. L. Hudson and K. R. Parthasarathy, Quantum Itô's formula and stochastic evolutions, Commun. Math. Phys. 93, 301 (1984)
39. K. R. Parthasarathy, An Introduction to Quantum Stochastic Calculus, Birkhäuser Verlag, Basel 1992
40. R. Alicki and M. Fannes, Dilations of quantum dynamical semigroups with classical Brownian motion, Commun. Math. Phys. 108, 353 (1987)
41. H.-P. Breuer and F. Petruccione, Theory of Open Quantum Systems, Oxford University Press, Oxford 2002
42. N. G. Duffield, H. Roos and R. F. Werner, Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems, Ann. Inst. H. Poincaré A LVI, 143 (1992)
43. T. Unnerstall, The dynamics of infinite open quantum systems, Lett. Math. Physics 20, 183 (1990)
44. A. Arnold and C. Sparber, Quantum Dynamical Semigroups for Diffusion Models with Hartree Interaction, Commun. Math. Phys. 251, 179 (2004)
45. R. F. Streater, Statistical Dynamics, Imperial College Press, London 1995.
46. W. A. Majewski, On completely positive nonlinear dynamical semigroups, J. Phys. A: Math. Gen. 23, L359 (1990)
47. R Jost, Quantenmechanik II, p. 132, Verlag der ETH, Zürich 1973
48. G. Kimura, The Bloch vector for N-level systems, Phys. Lett. A 314 339 (2003)
49. S. G. Schirmer, T. Zhang and J. V. Leahy, Orbits of quantum states and geometry of Bloch vectors for N-level systems, J. Phys. A: Math. Gen. 37, 1389 (2004)
50. G. Kimura and A. Kossakowski, The Bloch-Vector Space for N-Level Systems: The Spherical-Coordinate Point of View, Open Sys. Information Dyn. 12, 207 (2005)
51. C. Altafini, Controllability properties for finite dimensional quantum Markovian master equations, J. Math. Phys. 44, 2357 (2003)
52. A. Yu. Artem'ev, Environment dependence of spectral and dissipative properties of an open spin system, Phys. Rev. A 54, 2779 (1996)
53. A. Yu. Artem'ev, Quantum beats of light polarization and condition of complete positivity, Theor. Math. Phys. 87, 353 (1991)
54. A. Yu. Artem'ev, Theory of angular-momentum relaxation: Quantum-dynamical semigroup approach, Phys. Rev. A 63, 042103 (2001)
55. M. R. Gallis, Models for local Ohmic quantum dissipation, Phys. Rev. A 48, 1028 (1993)
56. H. Spohn and J. Lebowitz, Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs, Adv. in Chem. Phys. 38 109 (1978)
57. R. Alicki, The open quantum system as a model of the heat engine, J. Phys. A: Math. Gen. 12, L103 (1979)
58. K. Lendi, Higher Order Quantum Onsager Coefficients from Dynamical Invariants, J. Stat. Phys. 99, 1037 (2000)
59. K. Lendi and A. J. van Wonderen, Generalized quantum Onsager coefficients from a symmetrized Campbell-Hausdorff expansion, J. Phys. A: Math. Gen. 34, 1285 (2001)
60. K. Lendi, F. Farhadmotamed and A. J. van Wonderen, Regularization of Quantum Relative Entropy in Finite Dimensions and Application to Entropy Production, J. Stat. Phys. 92, 1115 (1998)
61. E. Geva and R. Kosloff, Three-level quantum amplifier as a heat engine: A study in finite-time thermodynamics, Phys. Rev. E 49, 3903 (1994)
62. E. Boukobza and D. J. Tannor, Thermodynamic analysis of quantum light amplification, Phys. Rev. A, in print (2006)
63. J. He, J. Chen and B. Hua, Quantum refrigeration cycles using spin-(1/2) systems as the working substance, Phys. Rev. E 65, 036145 (2002)
64. P. Beck and K. Lendi, Quantum-dynamical semigroup generators for proton-spin relaxation in water, Phys. Rev. A 47, 346 (1993)
65. M. Nest and P. Saalfrank, Open-system density matrix description of femtosecond laser desorption of electronically and vibrationally relaxing adsorbates: Single- and two-pulse scenarios, J. Chem. Phys. 116, 7189 (2002)
66. M. Nest, Model for dissipative quantum dynamics and nonlinear coupling: Lenard-Jones potential, Phys. Rev. A 65, 052117 (2002)
67. R. Alicki and S. Kryszewski, Completely positive Bloch-Boltzmann equations, Phys. Rev. A 68, 013809 (2003)
68. C. P. Slichter, Principles of Magnetic Resonance, Springer, Berlin 1990
69. R. G. Sadygov and D. Neuhauser, Dynamics of Primary Charge Separation in Bacterial Photosynthesis Using the Multilevel Redfield-Davies Secular Approach, Int. J. Quantum Chemistry 87, 254 (2002)
70. R. Alicki, M. Horodecki, P. Horodecki and R. Horodecki, Dynamical description of quantum computing: Generic nonlocality of quantum noise, Phys. Rev. A 65, 062101 (2002)
71. A. Kossakowski, On Markovian Limit in Quantum Open Systems, Open Sys. Information Dyn. 9, 1 (2002)
72. E. B. Davies and H. Spohn, Open Quantum Systems with Time-Dependent Hamiltonians and Their Linear Response, J. Stat. Phys. 19, 511 (1978)
73. S. Kohler, T. Dittrich and P. Hänggi, Floquet-Markovian description of the parametrically driven, dissipative harmonic quantum oscillator, Phys. Rev. E 55, 300 (1997)
74. A. J. van Wonderen and K. Lendi, Virtues and Limitations of Markovian Master Equations with a Time-Dependent Generator, J. Stat. Phys. 100 633 (2000)
75. P. Ullersma, An exactly solvable model for Brownian motion. 2. Derivation of Fokker-Planck equation and master equation, Physica 23 56 (1966)
76. N. G. van Kampen, A Soluble Model for Quantum Mechanical Dissipation, J. Stat. Phys. 78, 299 (1995)
77. A. J. van Wonderen, Exact solution of the Jaynes-Cummings model with cavity damping, Phys. Rev. A 56, 3116 (1997)
78. F. Farhadmotamed, A. J. van Wonderen and K. Lendi, Entropy studies for the damped and the undamped Jaynes-Cummings model, J. Phys. A: Math. Gen. 31, 3395 (1998)
79. A. J. van Wonderen and K. Lendi, Quantum Theory of Dissipative Processes: The Markov Approximation Revisited, J. Stat. Phys 80, 273 (1995)
80. G. G. Emch, Non-Markovian Model for the Approach to Equilibrium, J. Math. Phys. 7, 1198 (1966)
81. S. Daffer, K. Wódkiewicz, J. D. Cresser and J. K. McIver, Depolarizing channel as a completely positive map with memory, Phys. Rev. A 70, 010304(R) (2004)
82. A. Shabani and D. A. Lidar, Completely positive post-Markovian master equation via a measurement approach, Phys. Rev. A 71, 020101(R) (2005)
83. A. J. van Wonderen and K. Lendi, Non-Markovian quantum dissipation in the Kraus representation, Europhys. Lett. 71, 737 (2005)
84. A. J. van Wonderen and K. Lendi, Ab initio construction of an analytically tractable Kraus map for non-Markovian quantum dissipation, J. Phys. A: Math. Gen. 39, 14511 (2006)
85. A. Aissani, Sur la déformation d'un fil élastique et sur l'étude d'une équation intégro-différentielle, PhD-thesis, University of Metz, Metz 2000
86. A. Aissani and K. Lendi, Conditions for Bounded Solutions of Non-Markovian Quantum Master Equations, J. Stat. Phys 111, 1353 (2003)
87. K. Lendi, Selected Aspects of Markovian and Non-Markovian Quantum Master Equations, in: Irreversible Quantum Dynamics, eds. F. Benatti and R. Floreanini, Lecture Notes in Physics, Vol. 622, Springer, Berlin 2003
88. P. Kocian, Impact of von Neumann conditions on non-Markovian dynamics of open quantum systems, PhD-thesis, University of Zürich, Zürich 2006
89. H. Hayashi, G. Kimura and Y. Ota, Kraus representation in the presence of initial correlations, Phys. Rev. A 67, 062109 (2003)
90. A. J. van Wonderen and K. Lendi, Reduced dynamics for entangled initial state of the full density operator, J. Phys. A: Math. Gen. 33, 5757 (2000)