Strong-coupling limit in cold-molecule formation via photoassociation or Feshbach resonance through Nikitin exponential resonance crossing

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 6, 2006, Pages

  Ishkhanyan, Artur ^a   Nakamura, H ^b  

^a Engineering Center   (Armenia)

^b INSTITUTE FOR MOLECULAR SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MOLECULAR STRUCTURE; NONLINEAR SYSTEMS; PROBLEM SOLVING; RESONANCE;

FESHBACH RESONANCE; NIKITIN EXPONENTIAL RESONANCE CROSSING; NONLINEAR TIME-DEPENDENT TWO-STATE MODELS; PHOTOASSOCIATION;

GAS CONDENSATES;

EID: 33845789698     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.063414     Document Type: Article

References (63)

1. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1 71, 1 (1999);
2. W. C. Stwalley and H. Wang, J. Mol. Spectrosc. JMOSA3 0022-2852 10.1006/jmsp.1999.7838 195, 194 (1999);
3. F. Masnou-Seeuws and P. Pillet, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 47, 53 (2001).
4. E. Timmermans, P. Tommasini, M. Hussein, and A. Kerman, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00025-3 315, 199 (1999);
5. W. C. Stwalley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37. 1628 37, 1628 (1976);
6. H. Feshbach, Theoretical Nuclear Physics (Wiley, New York, 1992).
7. L. D. Landau, Phys. Z. Sowjetunion PHZSAL 0369-9811 2, 46 (1932);
8. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 137, 696 (1932).
9. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
10. E. E. Nikitin, Opt. Spectrosc. OPSUA3 0030-400X 6, 431 (1962);
11. E. E. Nikitin, Discuss. Faraday Soc. DFSOAW 0014-7664 10.1039/df9623300014 33, 14 (1962).
12. N. Demkov and M. Kunike, Vestn. Leningr. Univ., Ser. 4: Fiz., Khim. VLUFBI 0024-0826 16, 39 (1969);
13. K. A. Suominen and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.374 45, 374 (1992).
14. E. E. Nikitin and S. Ya. Umanski, Theory of Slow Atomic Collisions (Springer, Berlin, 1984).
15. A. Bambini and P. R. Berman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2496 23, 2496 (1981).
16. F. T. Hioe and C. E. Carroll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.1541 32, 1541 (1985);
17. F. T. Hioe and C. E. Carroll, J. Opt. Soc. Am. B JOBPDE 0740-3224 2, 497 (1985).
18. A. M. Ishkhanyan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/31/309 33, 5539 (2000);
19. A. M. Ishkhanyan, Opt. Commun. OPCOB8 0030-4018 176, 155 (2000).
20. V. A. Yurovsky, A. Ben-Reuven, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043607 65, 043607 (2002);
21. V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, and C. J. Williams, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.043605 62, 043605 (2000);
22. O. Zobay and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.033603 61, 033603 (2000).
23. F. H. Mies, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.022721 61, 022721 (2000);
24. K. Góral, T. Köhler, S. A. Gardiner, E. Tiesinga, and P. S. Julienne, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/17/006 37, 3457 (2004);
25. J. Chwedeńczuk, K. Goral, T. Köhler, and P. S. Julienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.260403 93, 260403 (2004).
26. E. Altman and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.110404 95, 110404 (2005);
27. R. A. Barankov and L. S. Levitov, e-print cond-mat/0506323.
28. I. Tikhonenkov, E. Pazy, Y. B. Band, M. Fleischhauer, and A. Vardi1, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043605 73, 043605 (2006);
29. E. Pazy, I. Tikhonenkov, Y. B. Band, M. Fleischhauer, and A. Vardi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170403 95, 170403 (2005).
30. R. Wynar, R. S. Freeland, D. J. Han, C. Ryu, and D. J. Heinzen, Science SCIEAS 0036-8075 10.1126/science.287.5455.1016 287, 1016 (2000);
31. N. R. Claussen, E. A. Donley, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.010401 89, 010401 (2002);
32. J. Herbig, T. Kraemer, M. Mark, T. Weber, C. Chin, H.-C. Nägerl, and R. Grimm, Science SCIEAS 0036-8075 10.1126/science.1088876 301, 1510 (2003);
33. S. Durr, T. Volz, A. Marte, and G. Rempe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.020406 92, 020406 (2004).
34. K. M. O'Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade, and J. E. Thomas, Science SCIEAS 0036-8075 10.1126/science.1079107 298, 2179 (2002);
35. K. E. Strecker, G. B. Partridge, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080406 91, 080406 (2003);
36. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, C. Chin, J. Hecker Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.240402 91, 240402 (2003).
37. M. Greiner, C. A. Regal, and D. S. Jin, Nature (London) NATUAS 0028-0836 10.1038/nature02199 426, 537 (2003);
38. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250401 91, 250401 (2003);
39. S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science SCIEAS 0036-8075 10.1126/science.1093280 302, 2101 (2003).
40. C. A. Regal, C. Ticknor, J. L. Bohn, and D. S. Jin, Nature (London) NATUAS 0028-0836 10.1038/nature01738 424, 47 (2003);
41. J. J. Cubizolles, T. Bourdel, S. J. J. M. F. Kokkelmans, G. V. Shlyapnikov, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.240401 91, 240401 (2003).
42. M. Koštrun, M. Mackie, R. Cote, and J. Javanainen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.063616 62, 063616 (2000);
43. M. Mackie and J. Javanainen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.3174 60, 3174 (1999).
44. P. D. Drummond, K. V. Kheruntsyan, and H. He, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3055 81, 3055 (1998);
45. D. J. Heinzen, R. Wynar, P. D. Drummond, and K. V. Kheruntsyan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5029 84, 5029 (2000).
46. Artur Ishkhanyan, Juha Javanainen, and Hiroki Nakamura, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/16/003 38, 3505 (2005).
47. F. G. Tricomi, Integral Equations (Dover, New York, 1985);
48. R. K. Miller, Nonlinear Volterra Integral Equations (Benjamin, New York, 1971).
49. Artur Ishkhanyan, G. P. Chernikov, and Hiroki Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053611 70, 053611 (2004).
50. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
51. Artur Ishkhanyan, Matt Mackie, Andrew Carmichael, Phillip L. Gould, and Juha Javanainen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.043612 69, 043612 (2004);
52. Artur Ishkhanyan, Juha Javanainen, and Hiroki Nakamura, J. Phys. A JPHAC5 0305-4470 39, 14887 (2006)
53. A. M. Ishkhanyan and B. Joulakian (unpublished).
54. H. Nakamura, Nonadiabatic Transition: Concepts, Basic Theories and Applications (World Scientific, Singapore, 2002);
55. Y. Teranishi and H. Nakamura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2032 81, 2032 (1998).
56. V. I. Osherov and H. Nakamura, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.472139 105, 2770 (1996);
57. V. I. Osherov and V. G. Ushakov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022713 73, 022713 (2006).
58. P. S. Krstic and R. K. Janev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.4625 37, 4625 (1988);
59. B. S. Nesbitt, S. F. C. O'Rourke, and D. S. F. Crothers, J. Phys. B JPAPEH 0953-4075 29, 2515 (1996).
60. J. H. Shirley, Phys. Rev. PRVBAK 0096-8269 10.1103/PhysRev.138.B979 138, B979 (1965);
61. Ya. B. Zeldovitch, Sov. Phys. JETP SPHJAR 0038-5646 24, 1006 (1967);
62. V. I. Ritus, Sov. Phys. JETP SPHJAR 0038-5646 24, 1041 (1967).
63. Interactions in Ultracold Gases, edited by, M. Weidemuller, and, C. Zimmerman, (Wiley, Berlin 2003).