Exact isolated solutions for the two-photon Rabi Hamiltonian

Journal of Physics A: Mathematical and General

Volumn 35, Issue 39, 2002, Pages 8231-8241

  Emary, C ^a   Bishop, R F ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037020215     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/39/307     Document Type: Article

References (37)

1. Rabi I I 1937 Phys. Rev. 51 652
2. Allen L and Eberly J H 1975 Optical Resonance and Two-Level Atoms (New York: Wiley)
3. Jaynes E T and Cummings F W 1963 proc. IEEE 51 89
4. Shen Y R 1967 Phys. Rev. 155 921 Walls D F 1971 J. Phys. A: Math. Gen. 4 813
5. Shen Y R 1967 Phys. Rev. 155 921 Walls D F 1971 J. Phys. A: Math. Gen. 4 813
6. Reid M, McNeil K J and Walls D F 1981 Phys. Rev. A 24 2029
7. Sukumar C V and Buck B 1981 Phys. Lett. A 83 211 Sukumar C V and Buck B 1984 J. Phys. A: Math. Gen. 17 885
8. Sukumar C V and Buck B 1981 Phys. Lett. A 83 211 Sukumar C V and Buck B 1984 J. Phys. A: Math. Gen. 17 885
9. Compagno G and Persico F 1984 Coherence and Quantum Optics V ed L Mandel and E Wolf (New York: Plenum) p 1117
10. Puri R R and Bullough R K 1988 J. Opt. Soc. Am. B 5 2021
11. Toor A H and Zubairy M S 1992 Phys. Rev. A 45 4951
12. Fang M and Zhou P 1995 J. Mod. Opt. 42 1199
13. Gerry C C 1988 Phys. Rev. A 37 2683 Gerry C C and Moyer P J 1988 Phys. Rev. A 38 5665
14. Gerry C C 1988 Phys. Rev. A 37 2683 Gerry C C and Moyer P J 1988 Phys. Rev. A 38 5665
15. Gentile T R, Hughey B J, Kleppner D and Ducas T W 1989 Phys. Rev. A 40 5103
16. Gatze M, Baruch M C, Watkins R B and Gallagher T F 1993 Phys. Rev. A 48 4742
17. Ng K M, Lo C F and Liu K L 1999 Eur. Phys. J. D 6 119 Lo C F, Liu K L and Ng K M 1998 Europhys. Lett. 42 1
18. Ng K M, Lo C F and Liu K L 1999 Eur. Phys. J. D 6 119 Lo C F, Liu K L and Ng K M 1998 Europhys. Lett. 42 1
19. Feranchuk I D, Komarov L I and Ulyanenkov A P 1996 J. Phys. A: Math. Gen. 29 4035
20. Ford G W and O'Connell R F 1997 Physica A 243 377
21. Judd B R 1977 J. Chem. Phys. 67 1174 Judd B R 1979 J. Phys. C: Solid State Phys. 12 1685
22. Judd B R 1977 J. Chem. Phys. 67 1174 Judd B R 1979 J. Phys. C: Solid State Phys. 12 1685
23. Reik H G, Nusser H and Amarante Ribeiro L A 1982 J. Phys. A: Math. Gen. 15 3491 Reik H G and Doucha M 1986 Phys. Rev. Lett. 57 787 Reik H G, Lais P, Stützte M E and Doucha M 1987 J. Phys. A: Math. Gen. 20 6327
24. Reik H G, Nusser H and Amarante Ribeiro L A 1982 J. Phys. A: Math. Gen. 15 3491 Reik H G and Doucha M 1986 Phys. Rev. Lett. 57 787 Reik H G, Lais P, Stützte M E and Doucha M 1987 J. Phys. A: Math. Gen. 20 6327
25. Reik H G, Nusser H and Amarante Ribeiro L A 1982 J. Phys. A: Math. Gen. 15 3491 Reik H G and Doucha M 1986 Phys. Rev. Lett. 57 787 Reik H G, Lais P, Stützte M E and Doucha M 1987 J. Phys. A: Math. Gen. 20 6327
26. Graham R and Höhnerbach M 1984 Phys. Lett. A101 61
27. Hose G and Taylor H S 1983 Phys. Rev. Lett. 51 947
28. Emary C and Bishop R F 2002 J. Math. Phys. 43 3916
29. Bishop R F and Vourdas A 1994 Phys. Rev. A 50 4488
30. Perelomov A 1986 Generalised Coherent States and Their Applications (Berlin: Springer)
31. Gerry C C and Grobe R 1995 Phys. Rev. A 51 4123
32. Bishop R F and Vourdas A 1988 Z. Phys. B 17 527
33. Bishop R F and Vourdas A 1986 J. Phys. A: Math. Gen. 19 2525
34. Emary C 2001 PhD Thesis UMIST, Manchester unpublished
35. Reed M and Simon B 1972 Methods of Modern Mathematical Physics Vol 1: Functional Analysis (New York: Academic)
36. Kuś M 1985 J. Math. Phys. 26 2792 Kuś M and Lewenstein M 1986 J. Phys. A: Math. Gen. 19 305
37. Kuś M 1985 J. Math. Phys. 26 2792 Kuś M and Lewenstein M 1986 J. Phys. A: Math. Gen. 19 305