Analytical solutions for the dynamics of two trapped interacting ultracold atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 2, 2006, Pages

  Idziaszek, Zbigniew ^a,b   Calarco, Tommaso ^a,c,d  

^a CNR   (Italy)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

^c ECT   (Italy)

^d HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; EIGENVALUES AND EIGENFUNCTIONS; MOLECULAR DYNAMICS; RESONANCE;

ANALYTICAL SOLUTIONS; TRAPPING FREQUENCIES; ULTRACOLD ATOMS;

ATOMS;

EID: 33746874153     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.022712     Document Type: Article

References (35)

1. See, for example: I. Bloch, Phys. World PHWOEW 0953-8585 17, 25 (2004), and references therein.
2. R. Folman, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 10.1007/s003400200861 48, 263 (2002);
3. R. Dumke, M. Volk, T. Muther, F. B. J. Bunchkremer, G. Birkl, and W. Ertmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.097903 89, 097903 (2002).
4. N. Schlosser, Nature (London) NATUAS 0028-0836 10.1038/35082512 411, 1024 (2001).
5. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004);
6. M. W. Zwierlein, C. A. Stan, C. H. Schunk, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120403 92, 120403 (2004);
7. C. Chin, Science SCIEAS 0036-8075 10.1126/science.1100818 305, 1128 (2004);
8. J. Kinast, Science SCIEAS 0036-8075 10.1126/science.1109220 307, 1296 (2005);
9. G. B. Partridge, K. E. Strecker, R. I. Kamar, M. W. Jack, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.020404 95, 020404 (2005).
10. M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002);
11. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004);
12. K. Xu, Y. Liu, J. R. Abo-Shaeer, T. Mukaiyama, J. K. Chin, D E. Moller, W. Ketterle, K. M. Jones, and E. Tiesinga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.043604 72, 043604 (2005).
13. T. Busch, B.-G. Englert, K. Rza̧zewski, and M. Wilkens, Found. Phys. FNDPA4 0015-9018 10.1023/A:1018705520999 28, 549 (1998).
14. Z. Idziaszek and T. Calarco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.050701 71, 050701 (R) (2005).
15. E. Fermi, Ric. Sci. ZZZZZZ 0035-5011 7, 12 (1936).
16. K. Huang and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105. 767 105, 767 (1957);
17. K. Huang, Statistical Mechanics (Wiley, New York, 1963).
18. R. Stock, A. Silberfarb, E. L. Bolda, and I. H. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.023202 94, 023202 (2005).
19. Z. Idziaszek and T. Calarco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.013201 96, 013201 (2006).
20. D. Blume and C. H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043613 65, 043613 (2002).
21. E. L. Bolda, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013403 66, 013403 (2002).
22. T. Stöferle, H. Moritz, K. Günter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.030401 96, 030401 (2006).
23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).
24. A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. II (Gordon and Breach, New York, 1986).
25. M. Block and M. Holthaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.052102 65, 052102 (2002).
26. E. Elizalde, S. D. Odintsov, A. Romeo, A. A. Bytsenko, and S. Zerbini, Zeta Regularization Techniques with Applications (World Scientific, Singapore, 1994).
27. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
28. E. L. Bolda, E. Tiesinga, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032702 68, 032702 (2003).
29. T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.163201 91, 163201 (2003).
30. D. S. Petrov and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012706 64, 012706 (2000).
31. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2551 84, 2551 (2000).
32. A similar regularization operator has been considered in: K. Wódkiewicz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.68 43, 68 (1991).
33. A. J. Moerdijk, B. J. Verhaar, and A. Axelsson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.4852 51, 4852 (1995).
34. E. Timmermans, P. Tommasini, M. Hussein, and A. Kerman, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00025-3 315, 199 (1999).
35. K. Góral, T. Köhler, S. Gardiner, E. Tiesinga, and P. S. Julienne, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/17/006 37, 3457 (2004).