Reentrant phenomenon in the quantum phase transitions of a gas of bosons trapped in an optical lattice

Physical Review Letters

Volumn 93, Issue 16, 2004, Pages

  Kleinert, H ^a   Schmidt, S ^b   Pelster, A ^c  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b Yale University   (United States)

^c UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; GAS DYNAMICS; LATTICE CONSTANTS; MATHEMATICAL MODELS; PHASE DIAGRAMS; PHASE TRANSITIONS; SCATTERING; THERMAL EFFECTS;

LATTICE STRUCTURE; OPTICAL LATTICE; REPULSIVE POTENTIALS; WANNIER FUNCTIONS;

QUANTUM THEORY;

EID: 19644401455     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.160402     Document Type: Article

References (43)

1. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
2. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).
3. D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, Phys. Rev. A 68, 043623 (2003).
4. N. F. Mott, Metal-Insulator Transitions (Taylor & Francis, London, 1990), 2nd ed.
5. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
6. H. Kleinert, Phys. Rev. Lett. 84, 286 (2000).
7. K. Burnett, M. Edwards, C. W. Clark, and M. Shotter, J. Phys. B 35, 1671 (2002).
8. A. M. Rey, K. Burnett, R. Roth, M. Edwards, C. J. Williams, and C. W. Clark, J. Phys. B 36, 825 (2003).
9. W. Zwerger, J. Opt. B 5, S9 (2003).
10. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
11. J. O. Andersen, Rev. Mod. Phys. 76, 599 (2004).
12. H. Shi and A. Griffin, Phys. Rep. 304, 1 (1998).
13. N. N. Bogoliubov, Izv. Akad Nauk SSSR, Ser. Fiz. 11, 77 (1947) [Sov. Phys. JETP 7, 41 (1958)].
14. N. N. Bogoliubov, Izv. Akad Nauk SSSR, Ser. Fiz. 11, 77 (1947) [Sov. Phys. JETP 7, 41 (1958)].
15. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963).
16. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets (World Scientific, Singapore, 2003), 3rd ed.
17. H. Kleinert, Phys. Rev. D 57, 2264 (1998); 58, 107702 (1998); 60, 085001 (1999).
18. H. Kleinert, Phys. Rev. D 57, 2264 (1998); 58, 107702 (1998); 60, 085001 (1999).
19. H. Kleinert, Phys. Rev. D 57, 2264 (1998); 58, 107702 (1998); 60, 085001 (1999).
20. 4-Theory (World Scientific, Singapore, 2001).
21. Fluctuating Paths and Fields - Dedicated to Hagen Kleinert on the Occasion of his 60th Birthday, edited by W. Janke, A. Pelster, H.-J. Schmidt, and M. Bachmann (World Scientific, Singapore, 2001).
22. P. Arnold, G. Moore, and B. Tomásik, Phys. Rev. A 65, 013606 (2002).
23. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. Lett. 87, 120402 (2001).
24. P. Arnold and G. Moore, Phys. Rev. Lett. 87, 120401 (2001); Phys. Rev. E 64, 066113 (2001).
25. P. Arnold and G. Moore, Phys. Rev. Lett. 87, 120401 (2001); Phys. Rev. E 64, 066113 (2001).
26. H. Kleinert, Mod Phys. Lett. B 17, 1011 (2003).
27. B. Kastening, Phys. Rev. A 68, 061601(R) (2003); 69, 043613 (2004).
28. B. Kastening, Phys. Rev. A 68, 061601(R) (2003); 69, 043613 (2004).
29. P. Grüter, D. Ceperley, and F. Laloë, Phys. Rev. Lett. 79, 3549 (1997).
30. E. L. Pollock and K. J. Runge, Phys. Rev. B 46, 3535 (1992).
31. T. Toyoda, Ann. Phys. (N.Y.) 141, 154 (1982).
32. K. Huang, Phys. Rev. Lett. 83, 3770 (1999).
33. H. Kleinert, Phys. Lett. A 207, 133 (1995).
34. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. I.
35. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. 22, 257 (1993).
36. J. K. Freericks and H. Monien, Europhys. Lett. 26, 545 (1995).
37. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A 63, 053601 (2001).
38. P. Arnold and B. Tomávsik, Phys. Rev. A 64, 053609 (2001).
39. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996); J. Low Temp. Phys. 109, 309 (1997);
40. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, R4633 (1996); J. Low Temp. Phys. 109, 309 (1997);
41. Ph. W. Courteille, V. S. Bagnato, and V. I. Yukalov, Laser Phys. 11, 659 (2001).
42. V. Bagnato, D. E. Pritchard, and D. Kleppner, Phys. Rev. A 35, 4354 (1987).
43. O. Zobay, G. Metikas, and G. Alber, Phys. Rev. A 69, 063615 (2004).