Dynamics of the Jaynes-Cummings and Rabi models: Old wine in new bottles

Physica Scripta

Volumn 76, Issue 2, 2007, Pages 146-160

  Larson, Jonas ^a  

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONS; COMPUTER SIMULATION; ELECTROMAGNETIC WAVES; MATHEMATICAL MODELS; MOLECULAR PHYSICS; OPTICAL RADAR;

DIABATIC FRAMES; HARMONIC SHAPES; POTENTIAL CURVES; RABI OSCILLATION;

WAVE PACKETS;

EID: 34547543673     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/76/2/007     Document Type: Article

References (158)

1. Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
2. Shore B W and Knight P L 1993 J. Mod. Opt. 40 1195
3. Rabi I I 1926 Phys. Rev. 49 324
4. Rabi I I 1937 Phys. Rev. 51 652
5. Allen L and Eberly J H 1987 Optical Resonance and Two-level Atoms (New York: Dover) 1087
6. Crisp M D 1991 Phys. Rev. A 43 2430
7. Esteve D, Raimond J-M and Dalibard J (ed) 2004 Quantum Entanglement and Information Processing (Amsterdam: Elsevier)
8. Eberly J H, Narozhny N B and Sanchez-Mondragon J J 1980 Phys. Rev. Lett. 44 1323
9. Narozhny N B, Sanchez-Mondragon J J and Eberly J H 1981 Phys. Rev. A 23 236
10. Rempe G and Walther H 1987 Phys. Rev. Lett. 58 53
11. Kuklinski J R and Madajczyk J L 1988 Phys. Rev. A 37 3175
12. Hillery M 1989 Phys. Rev. A 39 1556
13. Phoenix S J D and Knight P L 1991 Phys. Rev. A 44 6023
14. Furuichi S and Ohya M 1999 Lett. Math. Phys. 49 279
15. Bose S, Fuentes-Guridi I, Knight P L and Vedral V 2001 Phys. Rev. Lett. 87 050401
16. Brune M, Haroche S, Raimond J M, Davidovich L and Zagury N 1992 Phys. Rev. A 45 5193
17. Guo G C and Zheng S B 1996 Phys. Lett. A 223 332
18. Gerry C C 1997 Phys. Rev. Lett. 55 2478
19. Gerry C C 1998 Phys. Rev. B 57 7474
20. Barnes S E 2001 Phys. Rev. Lett. 87 167201
21. Slosser J J, Meystre P and Braunstein S L 1989 Phys. Rev. Lett. 63 934
22. Weidinger M, Varcoe B T H, Heerlein H and Walther R 1999 Phys. Rev. Lett. 82 3795
23. Brattke S, Varcoe B T H and Walther H 2001 Phys. Rev. Lett. 86 3534
24. Carmichael H J 1985 Phys. Rev. Lett. 55 2790
25. Aravind P K 1987 J. Opt. Soc. Am. A 4 26
26. Hennrich M, Kuhn A and Rempe G 2005 Phys. Rev. Lett. 94 053604
27. Dubin F, Rotter D, Mukherjee M, Russo C, Eschner J and Blatt R 2006 Preprint quant-ph/0610065
28. Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys. 75 281
29. Raimond J M, Brune M and Haroche S 2002 Semicond. Sci. Technol. 17 355
30. Irish E K and Schwab K 2003 Phys. Rev. B 68 155311
31. Wallraf A, Schuster D I, Blais A, Frunzio L, Majer J, Devoret M H, Girvin S M and Schoelkopf R J 2004 Nature 431 162
32. Chiorescu I, Bertet P, Semba K, Nakamura Y, Harmans C J P M and Mooil J E 2004 Nature 431 159
33. Hatakenaka N and Kurihara S 1996 Phys. Rev. A 54 1729
34. Sornborger A T, Cleland A N and Geller M R 2004 Phys. Rev. A 70 052315
35. Raimond J M, Brune M and Haroche S 2001 Rev. Mod. Phys. 73 565
36. Meiser D and Meystre P 2006 Preprint quant-ph/0605020
37. Clerk A A and Sipe J E 1998 Found. Phys. 28 639
38. Dolce I, Passante R and Persico F 2006 Phys. Lett. A 155 152
39. Lembessis V E and Ellinas D 2005 J. Opt. B: Quantum Semiclass. Opt. 7 319
40. Berlin G and Alinga J 2004 J. Opt. B: Quantum Semiclass. Opt. 6 231
41. Guerin S, Unanyan R G, Yatsenko L P and Jauslin H R 1999 Opt. Express 4 84
42. Cheng J and Zhon J 2001 Phys. Rev. A 64 065402
43. De Zela F, Solano E and Gago A 1997 Opt. Commun. 142 106
44. Liu Z and Zeng L 1998 J. Mod. Opt 45 945
45. De Zela F 2001 Lecture Notes Phys. 575 310
46. Jalenska-Kuklinska M and Kus M 1988 Phys. Rev. A 41 2889
47. Graham R and Höhnerbach M 1984 Z. Phys. B 57 233
48. Kimberg V, Guimaraes F F, Felicissimo V C and Gelmakhanor F 2006 Phys. Rev. A 73 023409
49. Kmetic M A and Meath W J 1990 Phys. Rev. A 41 1556
50. Brown A, Meath W J and Tran P 2002 Phys. Rev. A 65 063401
51. Ferro A A, Hybil J D and Jones D M 2001 J. Chem. Phys 114 4649
52. Serrat C 2005 Preprint org:phys/0507061
53. Dutton Z, Murali K U R M, Oliver W D and Orlando T P 2006 Phys. Rev. B 73 104516
54. Kujawski A 1991 Z. Phys. B 85 129
55. Peploski J C and Eno L 1988 J. Chem. Phys. 88 6303
56. Kuś M and Lewenstein M 1984 J. Phys. A: Maths. Gen. 19 305
57. Reik H G and Doucha M 1986 Phys. Rev. Lett. 57 787
58. Riek H G, Lais P, Stutzle M E and Doucha M 1987 J. Phys. A: Math. Gen. 20 6327
59. Phoenix S J D 1989 J. Mod. Opt. 36 1163
60. Zaheer K and Zubairy M S 1989 Opt. Commun. 73 325
61. Phoenix S J D 1991 J. Mod. Opt. 38 695
62. Finney G A and Gea-Banacloche J 1994 Phys. Rev. A 50 2040
63. Peng J S and Li G-X 1992 Phys. Rev. A 45 3289
64. Fang M F and Zhou P 1996 Physica A 234 571
65. Tur E A 2001 Opt. Spectrosc. 91 899
66. Tur E A 2002 Preprint math-ph/0211055
67. Zaheer K and Zubairy M S 1988 Phys. Rev. A 37 1628
68. Swain S 1973 J. Phys. A: Math. Gen. 6 192
69. Swain S 1973 J. Phys. A: Math. Gen. 6 1919
70. Tur E A 2000 Opt. Spectrosc. 89 574
71. Benivegna G and Messina A 1987 Phys. Rev. A 35 3313
72. Qin G, Wang K-L, Li T-Z, Han R-S and Feng M 1998 Phys. Lett. A 239 272
73. Bishop R F, Davidson N J, Quick R M and van der Walt D M 1999 Phys. Lett. A 254 215
74. Bishop R F, Davidson N J, Quick R M and van der Walt D M 1996 Phys. Rev. A 54 R4657
75. Bishop R F and Emary C 2001 J. Phys. A: Math. Gen. 34 5635
76. Crisp M D 1992 Phys. Rev. A 46 4138
77. Irish E K, Gea-Banacloche J, Martin I and Schwab K C 2005 Phys. Rev. B 72 195410
78. Pereverzev A and Bittner E R 2005 Preprint quant-ph/0510225
79. Sandu T 2006 Preprint cond-mat/0608483
80. Sandu T, Chihaia V and Kirk W P 1993 J. Lumin. 101 1001
81. Salkola M I, Bishop A R, Kenkre V M and Raghavan S 1996 Phys. Rev. B 54 R12645
82. Xie R-H, Zhou T-J and Rao Q 1996 J. Mod. Opt. 43 337
83. Feranchuk I D, Komarov L I and Ulyanenkov A P 1996 J. Phys. A: Math. Gen. 29 4035
84. Shen J Q 2003 Preprint quant-ph/0311140
85. Milonni P W, Ackerhalt J R and Galbraith H W 1983 Phys. Rev. A 50 966
86. Kus M 1985 Phys. Rev. Lett. 54 1343
87. Kujawski A and Munz M 1989 Z. Phys. B 76 273
88. Mller L, Stolze J, Leschke H and Nagel P 1991 Phys. Rev. A 44 1343
89. Fukuo T, Ogawa T and Nakamura K 1998 Phys. Rev. A 58 3293
90. Bargmann V 1961 Pure Appl. Math. 14 187
91. Bargmann V 1962 Proc. Natl Acad. Sci. USA 48 199
92. Stenholm S 1981 Opt. Commun. 36 75
93. Schweber S 1967 Ann. Phys. 41 205
94. Szopa M, Mys G and Ceulemans A 1996 J. Phys. A: Math. Gen. 37 5402
95. Smith F T 1969 Phys. Rev. 179 111
96. Delos J B and Thorson W R 1979 J. Chem. Phys. 70 1775
97. Wagner M 1979 Z. Phys. B 32 225
98. Landau L D 1932 Phys. Z. Sowjet Union 2 46
99. Zener C 1932 Proc. R. Soc. Lond. A 137 696
100. Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
101. Larson J, Salo J and Stenholm S 2005 Phys. Rev. A 72 013814
102. Holthaus M 1999 J. Opt. B: Quantum Semiclass. Opt. 2 589
103. Child M S 1974 Molecular Collision Theory (New York: Dover)
104. Shore B W 1990 The Theory of Coherent Atomic Excitation (New York: Wiley)
105. Nikitin E E and Umenskii S Ya 1999 The Theory of Slow Atomic Collisions (Heidelberg: Springer)
106. Bohm 1989 Quantum Mechanics (New York: Dover)
107. Messiah 1999 Quantum Mechanics (New York: Dover)
108. Teufel S 2003 Adiabatic Perturbation Theory in Quantum Dynamics (Berlin: Springer)
109. Larson J and Stenholm S 2006 Phys. Rev. A 73 033805
110. Alexanian M and Bose S K 1995 Phys. Rev. A 52 2218
111. Klimov A B and Sanchez-Soto L L 2000 Phys. Rev. A 61 063802
112. Klimov A B, Sanchez-Soto L L, Navarro A and Yustas E C 2002 J. Mod. Opt. 49 2211
113. Fleit M D, Fleck J A and Steiger A 1982 J. Comput. Phys. 47 412
114. Frasca M 2002 Phys. Rev. A 66 023810
115. Fujii K 2003 J. Phys. A: Math. Gen. 36 2109
116. Robinett R W 2004 Phys. Rep. 392 1
117. Satyanarayana M V, Rice P, Vyas R and Carmichel H J 1989 J. Opt. Soc. Am. B 6 228
118. Averbukh S S 1992 Phys. Rev. A 46 R2205
119. Gra P F and Jedrzejek C 1993 Phys. Rev. A 48 3291
120. Woods C W and Gea-Banacloche J 1993 J. Mod. Opt. 40 2361
121. Mandel L and Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press)
122. Werner M J and Risken H 1991 Quant. Opt. 3 185
123. Eiselt J and Risken H 1991 Phys. Rev. A 43 346
124. Miller C A, Hilsenbeck J and Risken H 1992 Phys. Rev. A 46 4323
125. Nielsem M A and Chuang I l 2000 Quantum Computing and Quantum Information (Cambridge: Cambridge University Press)
126. Jeong H and Ralph T C 2005 Preprint quant-ph/0509137
127. Gea-Banacloche J 1990 Phys. Rev. Lett. 65 3385
128. Gea-Banachloche J 1991 Phys. Rev. A 44 5913
129. Buzek V, Moya-Cessa H, KNight P L and Phoenix S J D 1992 Phys. Rev. A 45 8190
130. Auffeves A, Maioli P, Meunier T, Gleyzes S, Nogues G, Brune M, Raimond J M and Haroche S 2003 Phys. Rev. Lett. 91 230405
131. Araki H and Lieb E 1970 Commun. Math. Phys. 18 160
132. Bengtsson I and yczkowski K 2006 Geometry of Quantum States (Cambridge: Cambridge University Press)
133. Bohr H 1947 Almost Periodic Functions (New York: Chelsea)
134. Bocchieri P and Loinger A 1957 Phys. Rev. 107 337
135. von Baltz R 1990 Eur. J. Phys. 11 215
136. Rosen N and Zener C 1932 Phys. Rev. 40 502
137. Demkov Y N and Kunike M 1969 Vestn. Leningr. Univ. Ser. Fiz. Khim. 16 39
138. Bambini A and Berman P R 1981 Phys. Rev. A 23 2496
139. Hioe F T and Carroll C E 1985 J. Opt. Soc. Am. A 2 497
140. Garraway B M and Suominen K-A 1995 Rep. Prog. Phys. 58 365
141. Agarwal G S and Puri R R 1989 Phys. Rev. A 39 2 969
142. Joshi A and Puri R R 1992 Phys. Rev. A 45 5056
143. Liu J and Wang Y 1996 Phys. Rev. A 54 2326
144. Alsing P, Guo D S and Carmichael H J 1992 Phys. Rev. A 45 5135
145. Gerry C C 2002 Phys. Rev. A 65 063801
146. Solano E, Agarwal G S and Walther H 2003 Phys. Rev. Lett. 90 027903
147. Moya-Cessa H, Jonathan D and Knight P L 2003 J. Mod. Opt. 50 265
148. Gea-Banacloche J, Rice T C and Orozco L A 2005 Phys. Rev. Lett. 94 053603
149. Wang Y K and Hioe F T 1973 Phys. Rev. A 7 831
150. Frasca M 2004 J. Phys. B: At. Mol. Opt. Phys. 37 1273
151. Hou W and Hu B B 2004 Phys. Rev. A 69 042110
152. Messina A, Maniscalco S and Napoli A 2003 J. Mod. Opt. 50 1
153. Coalson R D 1987 J. Chem. Phys. 86 995
154. Alvarellos J and Metiu H 1988 J. Chem. Phys. 88 4957
155. Eisfeld A, Braun L, Strunz W T, Briggs J S, Beck J and Engel V 2005 J. Chem. Phys. 122 134103
156. Aleixo A N F, Balantekin A B and Ribeiro M A C 2000 J. Phys. A: Math. Gen. 33 3173
157. Alexio A N F and Balantekin A B 2005 J. Phys. A: Math. Gen. 38 8603
158. Dong W, Larson and Hansson T in preparation