Exact solution of two bosons in a trap potential: Transition to fragmentation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 1, 2006, Pages

  Klaiman, Shachar ^a,b   Moiseyev, Nimrod ^a,b   Cederbaum, Lorenz S ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b Theoretische Chemie   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); LINEAR EQUATIONS;

BOSON-BOSON INTERACTION; GROSS-PITAEVSKII ENERGY; VARIATIONAL TREATMENT;

POTENTIAL ENERGY;

EID: 33144476618     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.013622     Document Type: Article

References (29)

1. S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1795 85, 1795 (2000).
2. V. Vuletić, A. J. Kerman, C. Chin, and S. Chu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1406 82, 1406 (1999).
3. S. Yi and L. You, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.193201 92, 193201 (2004).
4. M. A. Cazalilla and A. F. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.150403 91, 150403 (2003).
5. R. W. Spekkens and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3868 59, 3868 (1999).
6. L. S. Cederbaum and A. I. Streltsov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023610 70, 023610 (2004).
7. A. I. Streltsov, L. S. Cederbaum, and N. Moiseyev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053607 70, 053607 (2004).
8. A. Griffin, D. W. Snoke, and S. Stringari, Bose-Einstein Condensation (Cambridge University Press, Cambridge, 1995).
9. R. W. Spekkens and J. E. Sipe, Fortschr. Phys. FPYKA6 0015-8208 10.1002/(SICI)1521-3978(199811)46:6/8<873::AID-PROP873>3.0.CO;2-Q 46, 873 (1998).
10. C. J. Pethich and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
11. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.307 73, 307 (2001).
12. L. S. Cederbaum and A. I. Streltsov, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.09.058 318, 564 (2003).
13. Z. Idziaszek and T. Calarco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.050701 71, 050701 (R) (2005).
14. M. A. Cirone, K. Góral, K. Rza̧żewski, and M. Wilkens, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/23/304 34, 4571 (2001).
15. D. Blume and Chris H. Greene, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013601 66, 013601 (2002).
16. K. Sakmann, A. I. Streltsov, O. E. Alon, and L. S. Cederbaum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033613 72, 033613 (2005).
17. N. Moiseyev, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00002-7 302, 211 (1998).
18. N. Moiseyev, P. R. Certain, and F. Weinhold, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/qua.560140604 14, 727 (1978).
19. L. D. Pietra, S. Aigner, C. Vom Hagen, H. J. Lezec, and J. Schmiedmayer, J. Phys.: Conference Series 19, 30 (2005).
20. O. Penrose and L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.104.576 104, 576 (1956).
21. P. O. Löwdin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.97.1474 97, 1474 (1955).
22. E. R. Davidson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.44. 451 44, 451 (1972).
23. R. D'Agosta and C. Presilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043609 65, 043609 (2002).
24. S. Komineas and N. Papanicolaou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043617 68, 043617 (2003).
25. A. I. Streltsov and L. S. Cederbaum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.063612 71, 063612 (2005).
26. R. Kosloff and H. Tal-Ezer, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(86)80262-7 127 (3), 223 (1986).
27. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
28. O. E. Alon and L. S. Cederbaum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.140402 95, 140402 (2005).
29. O. E. Alon, A. I. Streltsov and L. S. Cederbaum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.030405 95, 030405 (2005).