Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 5, 2008, Pages

  Wang, Dong ^a   Hansson, Tony ^a   Larson, Asa ^a   Karlsson, Hans O ^b   Larson, Jonas ^c  

^a ALBANOVA UNIVERSITY CENTER   (Sweden)

^b UPPSALA UNIVERSITY   (Sweden)

^c ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTIONAL REVIVALS; ION-TRAP SYSTEM; PHASE SPACES; QUANTUM INTERFERENCE; ROTATING WAVE APPROXIMATIONS; ROTATING WAVES; TIME-PERIODS; WAVE-PACKET METHOD;

PHASE SPACE METHODS; QUANTUM ENTANGLEMENT; QUANTUM INTERFERENCE DEVICES; QUANTUM OPTICS;

TRAPPED IONS;

EID: 52349102615     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.053808     Document Type: Article

References (96)

1. D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, J. Res. Natl. Inst. Stand. Technol. 103, 259 1998;
2. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 2003;
3. W. P. Schleich, Quantum Optics in Phase Space Wiley, Berlin, 2001;
4. W. P. Schleich, in Quantum Entanglement and Information Processing, edited by D. Esteve, J.-M. Raimond, and J. Dalibard Elsevier, Amsterdam, 2004;
5. S. Haroche and J. M. Raimond, Exploring the Quantum Oxford University Press, Oxford, 2006.
6. J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Adv. At., Mol., Opt. Phys. 37, 237 1996.
7. D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 76, 1796 1996.
8. S. Gulde, M. Riebe, G. P. T. Lancaster, C. Becher, J. Eschner, H. Haffner, F. Schmidt-Kaler, I. L. Chuang, and R. Blatt, Nature London 421, 48 2003;
9. D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J.Wineland, ibid. 422, 412 2003
10. M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-Kaler, D. F. V. James, and R. Blatt, ibid. 429, 734 2004;
11. M. D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J. D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, and D. J. Wineland, ibid. 429, 737 2004.
12. M. J. McDonnell, J. P. Home, D. M. Lucas, G. Imreh, B. C. Keitch, D. J. Szwer, N. R. Thomas, S. C. Webster, D. N. Stacey, and A. M. Steane, Phys. Rev. Lett. 98, 063603 2007.
13. H. Moya-Cessa, A. Vidiella-Barranco, J. A. Roversi, D. S. Freitas, and S. M. Dutra, Phys. Rev. A 59, 2518 1999;
14. H. Moya-Cessa, D. Jonathan, and P. L. Knight, J. Mod. Opt. 50, 265 2003.
15. Ö. E. Müstecaphoglu and L. You, Phys. Rev. A 65, 033412 2002.
16. A. B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, and R. Blatt, Phys. Rev. Lett. 89, 103001 2002.
17. J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Opt. Commun. 97, 353 1993;
18. V. Buzek, G. Drobny, M. S. Kim, G. Adam, and P. L. Knight, Phys. Rev. A 56, 2352 1997;
19. X. B. Zou, K. Pahlke, and W. Mathis, ibid. 65, 064303 2002.
20. P. Treutlein, D. Hunger, S. Camerer, T. W. Hänsch, and J. Reichel, Phys. Rev. Lett. 99, 140403 2007;
21. Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, and J. Reichel, Nature London 450, 272 2007;
22. F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhn, and T. Esslinger, ibid. 450, 268 2007;
23. S. Slama, G. Krenz, S. Bux, C. Zimmermann, and P. W. Courteille, Phys. Rev. A 75, 063620 2007.
24. B. M. Rodriguez-Lara, H. Moya-Cessa, and A. B. Klimov, Phys. Rev. A 71, 023811 2005.
25. J. I. Cirac, A. S. Parkins, R. Blatt, and P. Zoller, Phys. Rev. Lett. 70, 556 1993;
26. C. C. Gerry, Phys. Rev. A 55, 2478 1997.
27. L. X. Li and G.-C. Guo, J. Opt. B: Quantum Semiclassical Opt. 1, 339 1999.
28. J. I. Cirac, R. Blatt, A. S. Parkins, and P. Zoller, Phys. Rev. A 49, 1202 1994;
29. M. F. Fang, S. Swain, and P. Zhou, ibid. 63, 013812 2000;
30. F. Mao-Fa, Chin. Phys. 11, 1028 2002.
31. C. A. Blockley, D. F. Walls, and H. Risken, Europhys. Lett. 17, 509 1992.
32. S. Wallentowitz and W. Vogel, Phys. Rev. Lett. 75, 2932 1995;
33. C. D'Helon and G. J. Milburn, Phys. Rev. A 54, R25 1996;
34. F. E. Harrison, A. S. Parkins, M. J. Collett, and D. F. Walls, ibid. 55, 4412 1997.
35. Y. Wu and X. Yang, Phys. Rev. Lett. 78, 3086 1997.
36. S. Wallentowitz, W. Vogel, and P. L. Knight, Phys. Rev. A 59, 531 1999;
37. S. Wallentowitz and W. Vogel, ibid. 58, 679 1998.
38. Q. Y. Yang, L. F. Wei, and L. E. Ding, J. Opt. B: Quantum Semiclassical Opt. 7, 5 2005.
39. R. Blatt, J. I. Cirac, A. S. Parkins, and P. Zoller, Phys. Scr. T59, 294 1995;
40. R. L. de Matos Filho and W. Vogel, Phys. Rev. Lett. 76, 608 1996.
41. L. F. Wei, Y. Liu, and F. Nori, Phys. Rev. A 70, 063801 2004.
42. M. Feng, X. Zhu, X. Fang, M. Yan, and L. Shi, J. Phys. B 32, 701 1999.
43. J. I. Cirac, R. Blatt, A. S. Parkins, and P. Zoller, Phys. Rev. Lett. 70, 762 1993.
44. J. F. Poyatos, J. I. Cirac, R. Blatt, and P. Zoller, Phys. Rev. A 54, 1532 1996;
45. S. B. Zheng, X. W. Zhu, and M. Feng, ibid. 62, 033807 2000.
46. T. Liu, K. L. Wang, and M. Feng, J. Opt. B: Quantum Semiclassical Opt. 40, 1967 2007.
47. S. B. Zheng, Phys. Lett. A 245, 11 1998.
48. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 1995;
49. K. Mølmer and A. Sørensen, ibid. 82, 1835 1999;
50. D. Jonathan, M. B. Plenio, and P. L. Knight, Phys. Rev. A 62, 042307 2000;
51. J. I. Cirac and P. Zoller, Nature London 404, 579 2000;
52. F. Mintert and C. Wunderlich, Phys. Rev. Lett. 87, 257904 2001.
53. J. Larson, Phys. Scr. 76, 146 2007.
54. J. Larson, J. Phys.: Conf. Ser. 99, 012011 2008.
55. E. J. Heller, J. Chem. Phys. 62, 1544 1975.
56. B. M. Garraway and K. A. Suominen, Rep. Prog. Phys. 58, 365 1995.
57. H. Dietz and V. Engel, Chem. Phys. Lett. 255, 258 1996.
58. B. Zhang, N. Gador, and T. Hansson, Phys. Rev. Lett. 91, 173006 2003.
59. N. Gador, B. Zhang, H. O. Karlsson, and T. Hansson, Phys. Rev. A 70, 033418 2004.
60. N. Gador, B. Zhang, and T. Hansson, Chem. Phys. Lett. 412, 386 2005.
61. D. Wang, A. Larson, H. O. Karlsson, and T. Hansson, Chem. Phys. Lett. 449, 266 2007.
62. E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 1963;
63. B. W. Shore and P. L. Knight, J. Mod. Opt. 40, 1195 1993.
64. Normally, resonance conditions on the involved frequencies determine the particular pumping carrier or sideband through the RWA.
65. These dressed states differ from the ones defined in Sec. II B.
66. V. Man'ko, G. Marmo, A. Porzio, S. Solimeno, and F. Zaccaria, Phys. Rev. A 62, 053407 2000.
67. W. Vogel and R. L. de Matos Filho, Phys. Rev. A 52, 4214 1995.
68. R. W. Robinett, Phys. Rep. 392, 1 2004.
69. C. S. Jia, J. Y. Wang, S. He, and L. T. A. Sun, J. Phys. A 33, 6993 2000;
70. A. N. F. Aleixo, A. B. Balantekin, and M. A. C. Ribeiro, ibid. 33, 3173 2000;
71. S. Wallentowitz, I. A. Walmsley, L. J. Waxer, and Th. Richter, J. Phys. B 35, 1967 2002;
72. A. N. F. Aleixo and A. B. Balantekin, J. Phys. A 38, 8603 2005;
73. J. J. Pena, M. A. Romero-Romo, J. Morales, and J. L. Lopez-Bonilla, Int. J. Quantum Chem. 105, 731 2005;
74. S. H. Dong, Factorization Methods in Quantum Mechanics Springer, Berlin, 2007.
75. L. D. Landau, Phys. Z. Sowjetunion 2, 46 1932;
76. C. Zener, Proc. R. Soc. London, Ser. A 137, 696 1932.
77. A. S. Davydov, Quantum Mechanics, 2nd ed. Pergamon, Oxford, 1976.
78. I. Cusumano, A. Vaglica, and G. Vetri, Phys. Rev. A 66, 043408 2002;
79. J. Larson, J. Salo, and S. Stenholm, ibid. 72, 013814 2005.
80. P. F. Góra and C. Jedrzejek, Phys. Rev. A 48, 3291 1993; 49, 3046 1994
81. I. Sh. Averbukh, Phys. Rev. A 46, R2205 1992
82. H. Tal-Ezer and R. Kosloff, J. Chem. Phys. 81, 3967 1984.
83. H. Araki and E. Lieb, Commun. Math. Phys. 18, 160 1970.
84. J. H. Eberly, N. B. Narozhny, and J. J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 1980;
85. G. Rempe, H. Walther, and N. Klein, ibid. 58, 353 1987;
86. M. Venkata Satyanarayana, P. Rice, R. Vyas, and H. J. Carmichael, J. Opt. Soc. Am. B 6, 228 1989;
87. M. Fleischhauer and W. P. Schleich, Phys. Rev. A 47, 4258 1993.
88. These states are not necessarily squeezed into the proper definition, but their phase-space distributions are elliptic rather than circular.
89. N. V. Vitanov, Phys. Rev. A 59, 988 1999.
90. B. M. Garraway and S. Stenholm, Phys. Rev. A 45, 364 1992;
91. B. M. Garraway and N. V. Vitanov, ibid. 55, 4418 1997;
92. J. Larson, ibid. 73, 013823 2006.
93. The way we define the Wigner distribution for multilevel systems by tracing out the ionic internal degrees of freedom 27 naturally destroys any information contained in the coherent crossing terms.
94. E. Romera and F. de los Santos, Phys. Rev. Lett. 99, 263601 2007.
95. R. G. Brewer, R. G. DeVoe, and R. Kallenbach, Phys. Rev. A 46, R6781 1992;
96. J. Walz, I. Siemers, M. Schubert, W. Neuhauser, and R. Blatt, Europhys. Lett. 21, 183 1993.