A Group-Theoretical Approach to Quantum Optics: Models of Atom-Field Interactions

A Group-Theoretical Approach to Quantum Optics: Models of Atom-Field Interactions

Volumn , Issue , 2009, Pages 1-322

  Klimov, Andrei B ^a   Chumakov, Sergei M ^a  

^a UNIVERSITY OF GUADALAJARA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649731073     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527624003     Document Type: Book

References (170)

1. Perina, J. (1972) Coherence of Light, Van Nostrand, London.
2. Louisell, W.H. (1973) Quantum Statistical Properties of Radiation, John Wiley & Sons, Inc., New York.
3. Loudon, R. (1973) Quantum Theory of Light, Oxford University Press, Oxford.
4. Allen, L. and Eberly, J.H. (1975) Optical Resonance and Two-Level Atoms, John Wiley & Sons, Inc., New York.
5. Perina, J. (1984) Quantum Statistics of Linear and Nonlinear Optical Phenomena, D. Reidel Publishing Company, Dordrecht.
6. Gardiner, C.W. (1991) Quantum Noise, Springer-Verlag, Berlin, Heidelberg.
7. Meystre, P. and Sargent, M. III (1991) Elements of Quantum Optics, Springer-Verlag, Berlin, Heidelberg.
8. Walls, D.F. and Milburn, G.J. (1994) Quantum Optics, Springer-Verlag, Berlin, Heidelberg.
9. Vogel, W. and Welsch, D.-G. (1994) Lectures on Quantum Optics, Akademie Verlag, Berlin.
10. Scully, M.O. and Zubairy,M.S. (1997) Quantum Optics, Cambridge University Press, Cambridge.
11. Barnett, S.M. and Radmore, P.M. (1997) Methods in Theoretical Quantum Optics, Clarendon Press, Oxford.
12. Puri, R.R. (2001) Mathematical Methods of Quantum Optics, Springer, Berlin.
13. Dicke, R.H. (1954) Physical Review, 93, 99.
14. Perelomov, A. (1986) Generalized Coherent States and Their Applications, Springer-Verlag, Heidelberg.
15. Zhang, W.-M., Feng, D.H. and Gilmore, R. (1990) Reviews of Modern Physics, 62, 867.
16. Radcliffe, J.M. (1971) Journal of Physics A: General Physics, 4, 313.
17. Arecchi, F.T., Courtens, E., Gilmore, R. and Thomas, H. (1972) Physical Review A, 6, 2211.
18. Kitagawa, M. and Ueda, M. (1993) Physical Review A, 47, 5138.
19. Agarwal, G.S. (1981) Physical Review A, 24, 2889.
20. Karassiov, V.P. and Shelepin, L.A. (1982) Proceedings of the P.N. Lebedev Institute, 144, 124.
21. Landau, L.D. and Lifshitz, E.M. (1974) Classical Mechanics, Nauka, Moscow (in Russian).
22. Feynman, R., Vernon, F.L. and Hellwarth, R.W. (1957) Journal of Applied Physics, 28, 49.
23. Shirley, J.H. (1965) Physical Review, 138, B797.
24. Barata, J.C.A. and Wreszinski, W.F. (2000) Physical Review Letters, 84, 2112.
25. Daems, D., Keller, A., Guerin, S., Jauslin, H.R. and Atabek, O. (2003) Physical Review A, 67, 052505
26. Daems, D., Guerin, S., Jauslin, H.R., Keller, A. and Atabek, O. (2003) Physical Review A, 68, 051402.
27. Klimov, A.B. and Sánchez-Soto, L.L. (2000) Physical Review A, 61, 063802.
28. Sainz, I., Klimov, A.B. and Saavedra, C. (2006) Physics Letters A, 351, 26-30.
29. Dodonov, V.V., Kurmyshev, E.V. and Man'ko, V.I. (1980) Physics Letters A, 79, 150.
30. Susskind, L. and Glogower, J. (1964) Physica, 1, 49.
31. Carruthers, P. and Nieto, M.M. (1965) Physical Review Letters, 14, 387.
32. Newton, R. (1980) Annals of Physics, 124, 327.
33. Luis, A. and Sanchez-Soto, L.L. (2000) Progress in Optics, 41, 421.
34. Popov, V.N. and Yarunin, V.S. (1973) Vestnik Leningradskogo Universiteta, 22, 7 (in Russian).
35. Pegg, D.T. and Barnett, S.M. (1989) Physical Review A, 39, 1665.
36. Klimov, A.B. and Chumakov, S.M. (1997) Physics Letters A, 235, 7.
37. Dodonov, V.V. and Manḱo, V.I. (1989) Proceedings of the P.N. Lebedev Physics Institute, 183, 1.
38. Kitagawa, M. and Yamamoto, Y. (1986) Physical Review A, 34, 3974.
39. Milburn, G.S. (1986) Physical Review A, 33, 674.
40. Schrödinger, E. (1980) Proceedings of the American Philosophical Society, 124, 323.
41. Tara, R., Agarwal, G.S. and Chaturvedi, S. (1993) Physical Review A, 47, 5024.
42. Varada, G.V. and Agarwal, G.S. (1993) Physical Review A, 48, 4062.
43. Gantsog, T.S. and Tanàs, R. (1991) Quantum Optics A, 3, 33.
44. Bloembergen, N. (1972) Nonlinear Optics, McGraw-Hill, New York.
45. Alvarez-Estrada, R.F., Gómez-Nicola, A., Sánchez-Soto, L.L. and Luis, A. (1995) Journal of Physics A, 28, 3439
46. Alvarez, G. and Alvarez-Estrada, R.F. (1995) Journal of Physics A, 28, 5767.
47. Tanàs, R., Gantsog, Ts. and Zawodny, R. (1991) Quantum Optics, 3, 221.
48. Walls, D.F. and Barakat, R. (1970) Physical Review A, 1, 446.
49. Nikitin, S.P. and Masalov, A.V. (1991) Quantum Optics, 3, 105.
50. Jaynes, E.T. and Cummings, F.W. (1963) Proceedings of the IEEE, 5, 89.
51. Shore, B.W. and Knight, P.L. (1993) Journal of Modern Optics, 40, 1195.
52. Klimov, A.B. and Chumakov, S.M. (1995) Physics Letters A, 202, 145.
53. Narozhny, N.B., Sanchez-Mondragon, J.J. and Eberly, J.H. (1981) Physical Review A, 23, 236.
54. Yoo, H.I. and Eberly, I.H. (1985) Physics Reports, 188, 239.
55. Fleischhauer, M. and Schleich, W.P. (1993) Physical Review A, 47, 4258.
56. Lechte, C., Averbukh, I.S. and Schleih, W.P. (1996) Physical Review A, 54, 5299.
57. Abramowitz, M. and Stegun, I.A. (1964) Handbook of Mathematical Functions, Applied Mathematics Series, Vol. 55, National Bureau of Standards, Washington, DC.
58. Knight, P.I. and Radmore, P.M. (1982) Physics Letters A, 90, 342.
59. Arancibia-Bulnes, C.A., Chumakov, S.M. and Sánchez-Mondragón, J.J. (1993) Journal of Modern Optics, 40, 2071.
60. Whittaker, E.T. and Watson, G.N. (1927) A Course of Modern Analysis, 4th edn, Cambridge University Press.
61. Klimov, A.B. and Chumakov, S.M. (1999) Physics Letters A, 264, 100.
62. Zaheer, K. and Zubairy, M.S. (1989) Physical Review A, 39, 2000.
63. Gea-Banacloche, J. (1991) Physical Review A, 44, 5913.
64. Gea-Banacloche, J. (1992) Physical Review A, 46, 7307
65. Gea-Banacloche, J. (1993) Physical Review A, 47, 2221.
66. Chumakov, S.M., Klimov, A.B. and Saavedra, C. (1995) Physical Review A, 52, 3153.
67. Woods, C.W. and Gea-Banacloch, J. (1993) Journal of Modern Optics, 40, 2361.
68. Kuklinski, J.R. and Madajczyk, J.L. (1988) Physical Review A, 37, 3175.
69. Averbukh, I.S. (1992) Physical Review A, 46, R22Q5.
70. Bloch, F. and Siegert, A. (1940) Physical Review, 57, 522.
71. Cohen-Tannoudji, C., Dupont-Roc, J. and Fabre, C. (1973) Journal of Physics B, 6, L214.
72. Yabuzaki, T., Nakayama, S., Murakami, Y. and Ogawa, T. (1974) Physical Review A, 10, 1955.
73. Puri, R.R. and Bullough, R.K. (1988) Journal of the Optical Society of America B, 5, 2021.
74. Lugiato, L.A., Galatola, P. and Narducci, L.M. (1990) Optics Communications, 76, 276.
75. Tavis, M. and Cummings, F.W. (1968) Physical Review, 170, 379.
76. Cummings, F.W. and Dorri, A. (1983) Physical Review A, 28, 2282.
77. Crubellier, A., Liberman, S., Pavolini, D. and Pilet, P. (1985) Journal of Physics B: Atomic and Molecular Physics, 18, 3811.
78. Crubellier, A. (1985) Journal of Physics B: Atomic and Molecular Physics, 20, 971.
79. Stoler, D. (1971) Physical Review D, 4, 1309.
80. Yuen, H.P. (1976) Physical Review A, 13, 2226.
81. Kozierowski, M. and Chumakov, S.M. (1988) Proceedings of the P.N. Lebedev Physics Institute, 191, 150 (in Russian).
82. Varshalovich, D.A., Moskalev, A.N. and Khersonskii, V.K. (1989) Quantum Theory of Angular Momentum, World Scientific, Singapore.
83. Drobnỳ,G., Bandilla, A. and Jex, I. (1997) Physical Review A, 55, 78.
84. Vilenkin, N.Ya. and Klimyk, A.U. (1991) Representations of Lie Groups and Special Functions, Vols. 1-3, Kluwer Academic Publishers, Dordrecht.
85. Kozierowski, M., Mamedov, A.A. and Chumakov, S.M. (1990) Physical Review A, 42, 1762.
86. Kozierowski, M., Chumakov, S.M.,Świat Lowski, J. and Mamedov, A.A. (1992) Physical Review A, 46, 7220.
87. Chumakov, S.M. and Kozierowski, M. (1996) Quantum and Semiclassical Optics, 8, 775.
88. Kozierowski, M. and Chumakov, S.M. (1995) Physical Review A, 52, 4194.
89. Satyanarayana, M.V., Rice, P., Vyas, R. and Charmichael, H.J. (1989) Journal of the Optical Society of America B, 6, 228.
90. Milburn, G.J. (1984) Optica Acta, 31, 671.
91. Chumakov, S.M. and Sánchez-Mondragón, J.J. (1994) Optics Communications, 107, 231.
92. Kozierowski, M. and Chumakov, S.M. (1995) Physical Review A, 52, 4293.
93. Góra, P.F. and Jedrzejek, C. (1992) Physical Review A, 45, 6816.
94. Scharf, G. (1976) Helvetica Physica Acta, 43, 806.
95. Karassiov, V.P. and Klimov, A.B. (1994) Physics Letters A, 189, 43.
96. Karassiov, V.P. (1998) Physics Letters A, 238, 19.
97. Chumakov, S.M., Klimov, A.B. and Sanchez-Mondragon, J.J. (1995) Optics Communications, 118, 529.
98. Retamal, J.C., Saavedra, C., Klimov, A.B. and Chumakov, S.M. (1997) Physical Review A, 55, 2413.
99. Saavedra, C., Klimov, A.B. and Chumakov, S.M. (1999) Physics Letters A, 251, 1.
100. Wódkiewicz, K. and Eberly, J.H. (1976) Annals of Physics, 101, 574.
101. Castro-Beltrán, H.M., Chumakov, S.M. and Sánchez-Mondragón, J.J. (1996) Optics Communications, 129, 184.
102. Castro-Beltrán, H.M., Chumakov, S.M. and Sánchez-Mondragón, J.J. (1996) Physical Review A, 53, 4420.
103. Chumakov, S.M., Klimov, A.B. and Sanchez-Mondragon, J.J. (1994) Physical Review A, 49, 4972.
104. Knight, P.L. and Shore, B.W. (1993) Physical Review A, 48, 642.
105. Agarval, G.S., Puri, R.R. and Singh, R.P. (1997) Physical Review A, 56, 2249.
106. Klimov, A.B. and Saavedra, C. (1998) Physics Letters A, 247, 14.
107. Klimov, A.B., Sanchez-Soto, L.L. and Delgado, J. (2001) Optics Communications, 191, 419.
108. Klimov, A.B., Negro, J., Farias, R. and Chumakov, S.M. (1999) Journal of Optics B: Quantum and Semiclassical Optics, 1, 562.
109. Gutzwiller, M.C. (1990) Chaos in Classical and Quantum Mechanics, Springer.
110. Higgs, P.W. (1979) Journal of Physics A, 12, 309.
111. Sklyanin, E.K. (1982) Functional Analysis and its Applications, 16, 263.
112. Rôcek, M. (1991) Physics Letters B, 255, 554.
113. Bonatsos, D., Daskaloyannis, C. and Lalazissis, G.A. (1993) Physical Review A, 47, 3448.
114. Karassiov, P.V. (1992) Journal of Soviet Laser Research, 13, 188.
115. Karassiov, P.V. (1994) Journal of Physics A, 27, 153.
116. Quesne, C. (1995) Journal of Physics A, 28, 2847.
117. Debergh, N. (1997) Journal of Physics A, 30, 5239.
118. Abdesselam, B., Beckers, J., Chakrabarti, A. and Debergh, N. (1996) Journal of Physics A, 29, 3075.
119. Karassiov, V.P. (1998) Physics Letters A, 238, 19.
120. Sunilkumar, V., Bambah, B.A., Jagannathan, R., Panigrahi, P.K. and Srinavasan, V. (2000) Journal of Optics B: Quantum and Semiclassical Optics, 2, 126.
121. Schenzle, A. (1981) Nonlinear Optical Phenomena and Fuctuations, Lecture Notes in Physics, Vol. 155, Springer, Berlin, p. 103
122. Shen, Y.R. (1985) The Principles of Nonlinear Optics, JohnWiley & Sons, Inc., New York.
123. Lugiato, L.A., Galatola, P. and Narducci, L.M. (1990) Optics Communications, 76, 276.
124. Sczaniecki, L. (1983) Physical Review A, 28, 3493.
125. Hillery, M. andMlodinow, L.D. (1985) Physical Review A, 31, 797.
126. Klein, D.J. (1974) Journal of Chemical Physics, 61, 786.
127. Klimov, A.B., Sainz, I. and Chumakov, S.M. (2003) Physical Review A, 68, 063811.
128. Klimov, A.B., Sainz, I. and Saavedra, C. (2004) Journal of Optics B: Quantum and Semiclassical Optics, 6, 448-53.
129. Iachello, F. and Zamfir, N.V. (2004) Physical Review Letters, 92, 212501.
130. Emary, C. and Brandes, T. (2003) Physical Review Letters, 90, 044101.
131. Emary, C. and Brandes, T. (2003) Physical Review E, 67, 066203, (2003)
132. Heiss,W.D., Scholtz, F.G. and Geyer, H.B. (2005) Journal of Physics A, 38, 1843.
133. Dusuel, S. and Vidal, J. (2005) Physical Review B, 71, 224420.
134. Zanardi, P. and Paunkovi, N. (2006) Physical Review E 74, 031123.
135. Lipkin,H.J., Meshkov, N. and Glick, A.J. (1965) Nuclear Physics, 62, 188.
136. Botet, R. and Jullien, R. (1983) Physical Review B, 28, 3955.
137. Cirac, J.I., Lewenstein, M., Mølmer, K. and Zoller, P. (1998) Physical Review A, 57, 1208.
138. Leyvraz, F. and Heiss, W.D. (2005) Physical Review Letters, 95, 050402.
139. Castaños, O., López-Peña, R., Hirsch, J.G. and López-Moreno, E. (2006) Physical Review B, 74, 104118.
140. Liberti, G., Plastina, F. and Piperno, F. (2006) Physical Review A, 74, 022324.
141. Zhang, W.-M., Feng, D.H. and Gilmore, R. (1990) Reviews of Modern Physics, 62, 867.
142. Lindblad, G. (1975) Communications in Mathematical Physics, 40, 147.
143. Ban, M. (1992) Journal of Mathematical Physics, 33, 3213.
144. Moya-Cessa, H. (1998) Quantum and Semiclassical Optics, 10, 671.
145. Saavedra, C., Klimov, A.B., Chumakov, S.M. and Retamal, J.C. (1998) Physical Review A, 58, 4078.
146. Klimov, A.B., Chumakov, S.M., Retamal, J.C. and Saavedra, C. (1996) Physics Letters A, 211, 143.
147. Briegel, H.-J. and Englert, B.-G. (1993) Physical Review A, 47, 3311.
148. Banacloche, J.G. (1993) Physical Review A, 47, 2221.
149. Klimov, A.B. and Romero, J.L. (2003) Journal of Optics B: Quantum and Semiclassical Optics, 5, S316.
150. Moyal, J.E. (1949) Proceedings of the Cambridge Philosophical Society, 45, 99.
151. Stratonovich, R.L. (1956) Soviet Physics JETP, 31, 1012.
152. Dodonov, V.V. and Manḱo, V.I. (1997) Physics Letters A, 229, 335.
153. Man'ko, V.I. and Man'ko, O. (1998) Journal of Experimental and Theoretical Physics, 85, 430
154. Agarwal, G.S. (1998) Physical Review A, 57, 671.
155. Brif, C. and Mann, A. (1999) Physical Review A, 59, 971.
156. Várilly, J.C. and Gracia-Bondía, J.M. (1989) Annals of Physics, 190, 107.
157. Klimov, A.B. and Chumakov, S.M. (2000) Journal of the Optical Society of America A, 17, 2315-18.
158. Klimov, A.B. (2002) Journal of Mathematical Physics, 43, 2202.
159. Klimov, A.B. and Espinoza, P. (2002) Journal of Physics A, 35, 8435.
160. Zueco, D. and Calvo, I. (2007) Journal of Physics A, 40, 4635.
161. Klimov, A.B. and Chumakov, S.M. (2002) Revista Mexicana de Física 48, 317.
162. Klimov, A.B. and Espinoza, P. (2005) Journal of Optics B: Quantum and Semiclassical Optics, 7, 183.
163. Cahill, K.E. and Glouber, R.J. (1968) Physical Review, 117, 1857.
164. Cahill, K.E. and Glouber, R.J. (1968) Physical Review, 177 1882.
165. Bajer, J., Miranowicz, A. and Tanas, R. (2002) Czechoslovak Journal of Physics, 52, 1313.
166. Barut, A. and Raczka, R. (1986) Theory of Groups Representations and Applications, World Scientific, Singapore.
167. Biedenharn, L.C. and Louck, J.D. (1981) Angular momentum in quantum physics, in Encyclopedia of Mathematics and its Applications (ed. G.-C. Rota), Addison-Wesley, Reading, MA.
168. Klimov, A.B., Sánchez-Soto, L.L., Navarro, A. and Yustas, E.C. (2002) Journal of Modern Optics, 49, 2211.
169. Sachdev, S. (1999) Quantum Phase Transitions, Cambridge University Press, Cambridge.
170. Malkin, I.A. and Man'ko, V.I. (1979) Dynamical Symmetries and Coherent States of Quantum Systems, Nauka, Moscow (in Russian).