Algebraic approach to the Tavis-Cummings problem

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 538081-5380812

  Vadeiko, I P ^a   Miroshnichenko, G P ^a   Rybin, A V ^b   Timonen, J ^b  

^a ITMO UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ATOMS; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

DRESSED STATES;

ATOMIC PHYSICS;

EID: 0038106326     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. M. Tavis and F.W. Cummings, Phys. Rev. 170, 379 (1968).
2. R. Dicke, Phys. Rev. 93, 99 (1954).
3. E. Jaynes and F. Cummings, Proc. IEEE 51, 89 (1963).
4. D. Meschede, H. Walther, and G. Muller, Phys. Rev. Lett. 54, 551 (1985).
5. P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986).
6. P. Elmfors, B. Lautrup, and B.-S. Skagerstam, Phys. Rev. A 54, 5171 (1996).
7. J.M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
8. S. Yu, H. Rauch, and Y. Zhang, Phys. Rev. A 52, 2585 (1995).
9. X. Yang, Y. Wu, and Y. Li, Phys. Rev. A 55, 4545 (1997).
10. A. Rybin, G. Kastelewicz, J. Timonen, and N. Bogoliubov, J. Phys. A 31, 4705 (1998); N.M. Bogoliubov, R.K. Bullough, and J. Timonen, ibid. 29, 6305 (1996).
11. A. Rybin, G. Kastelewicz, J. Timonen, and N. Bogoliubov, J. Phys. A 31, 4705 (1998); N.M. Bogoliubov, R.K. Bullough, and J. Timonen, ibid. 29, 6305 (1996).
12. S. Carusotto, Phys. Rev. A 40, 1848 (1989).
13. M.E. Smithers and E.Y.C. Lu, Phys. Rev. A 9, 790 (1974).
14. B.R. Mollow and R.J. Glauber, Phys. Rev. 160, 1076 (1967).
15. J. Tucker and D.F. Walls, Phys. Rev. 178, 2036 (1969).
16. A.B. Klimov and L.L. Sanchez-Soto, Phys. Rev. A 61, 063802 (2000).
17. M. Kozierowski, A.A. Mamedov, and S.M. Chumakov, Phys. Rev. A 42, 1762 (1990).
18. S.M. Chumakov, A.B. Klimov, and J.J. Sanchez-Mondragon, Phys. Rev. A 49, 4972 (1994).
19. C. Saavedra, A.B. Klimov, S.M. Chumakov, and J.C. Retamal, Phys. Rev. A 58, 4078 (1998).
20. J. Delgado, E.C. Yustas, L.L. Sanchez-Soto, and A.B. Klimov, Phys. Rev. A 63, 063801 (2001).
21. C. Brif, Phys. Rev. A 54, 5253 (1996).
22. V. Sunilkumar, B.A. Bambah, R. Jagannathan, P.K. Panigrahi, and V. Srinivasan, J. Opt. B: Quantum Semiclassical Opt. 2, 126 (2000).
23. T. Holstein and H. Primakoff, Phys. Rev. 58, 1098 (1940).
24. F. Persico and G. Vetri, Phys. Rev. A 12, 2083 (1975).
25. D. Bonatsos, C. Daskaloyannis, and P. Kolokotronis, J. Phys. A 26, L871 (1993).
26. D. Ruan, Y. Jia, and H. Sun, e-print quant-ph/0111007.
27. V.P. Karassiov, J. Phys. A 27, 153 (1994); V.P. Karassiov, A.A. Gusev, and S.I. Vinitsky, e-print quant-ph/0112040 (2001).
28. V.P. Karassiov, J. Phys. A 27, 153 (1994); V.P. Karassiov, A.A. Gusev, and S.I. Vinitsky, e-print quant-ph/0112040 (2001).
29. D. Bonatsos, C. Daskaloyannis, and G.A. Lalazissis, Phys. Rev. A 47, 3448 (1993).
30. R. Brandt and O.W. Greenberg, J. Math. Phys. 10, 1168 (1969).
31. M. Rasetti, Int. J. Theor. Phys. 5, 377 (1972).
32. J. Katriel, Phys. Lett. 72A, 94 (1979).
33. C. Gerry, J. Phys. A 16, 313 (1971).
34. J. Katriel, A.I. Solomon, G. DAriano, and M. Rasetti, Phys. Rev. D 34, 2332 (1986).
35. S. Carusotto, Phys. Rev. A 38, 3249 (1971).
36. D. Bonatsos, C. Daskaloyannis, P. Kolokotronis, and D. Lenis, e-print hep-th/9402099.
37. P. Shanta, S. Chaturvedi, V. Srinivasan, G.S. Agarwal, and C.L. Mehta, Phys. Rev. Lett. 72, 1447 (1994).
38. R. Floreanini, L. Lapointe, and L. Vinet, Physica B 389, 327 (1996).
39. D. Ruan and W. Ruan, Phys. Lett. A 263, 78 (1999).
40. I.P. Vadeiko, G.P. Miroshnichenko, A.V. Rybin, and J. Timonen, J. Opt. B (to be published).