Mean-field phase diagram of cold lattice bosons in disordered potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Buonsante, P ^a,b   Penna, V ^a   Vezzani, A ^c   Blakie, P B ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF OTAGO   (New Zealand)

^c UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOSONS; ELECTRON TRAPS; MATHEMATICAL MODELS; QUANTUM THEORY;

BOSE-HUBBARD MODELS; COLD LATTICE BOSONS; DISORDERED POTENTIALS; MEAN FIELD PHASE DIAGRAMS;

PHASE DIAGRAMS;

EID: 34547299654     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.011602     Document Type: Article

References (57)

1. 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).
2. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.546 40, 546 (1989).
3. M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
4. M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002);
5. C. Orzel, Science SCIEAS 0036-8075 10.1126/science.1058149 23, 2386 (2001);
6. B. Anderson and M. Kasevich, Science SCIEAS 0036-8075 10.1126/science.282.5394.1686 282, 1686 (1998);
7. M. Greiner, I. Block, O. Mandel, T. W. Hansch, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.160405 87, 160405 (2001);
8. C. Schori, T. Stoferle, H. Moritz, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.240402 93, 240402 (2004).
9. M. Köhl, H. Moritz, T. Stoferle, K. Gunter, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.080403 94, 080403 (2005);
10. T. Stöferle, H. Moritz, K. Gunter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.030401 96, 030401 (2006);
11. M. Köhl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.031601 73, 031601 (R) (2006).
12. S. Ospelkaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 180403 96, 180403 (2006).
13. J. E. Lye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 070401 95, 070401 (2005);
14. D. Clement, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 170409 95, 170409 (2005);
15. C. Fort, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170410 95, 170410 (2005);
16. T. Schulte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 170411 95, 170411 (2005).
17. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
18. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080403 91, 080403 (2003).
19. L. Fallani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 130404 98, 130404 (2007).
20. P. Vignolo, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/22/013 36, 4535 (2003);
21. U. Gavish and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.020401 95, 020401 (2005).
22. M. Wallin, E. S. Sorensen, S. M. Girvin, and A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.12115 49, 12115 (1994);
23. M. B. Hastings, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.024517 64, 024517 (2001);
24. R. Graham and A. Pelster, e-print arXiv:cond-mat/0508306.
25. B. V. Svistunov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.16131 54, 16131 (1996).
26. F. Pázmándi and G. T. Zimányi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.5044 57, 5044 (1998).
27. K. Sheshadri, Europhys. Lett. EULEEJ 0295-5075 22, 257 (1993).
28. W. Krauth, M. Caffarel, and J. P. Bouchaud, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.3137 45, 3137 (1992).
29. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4075 75, 4075 (1995).
30. K. V. Krutitsky, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/9/187 8, 187 (2006).
31. R. T. Scalettar, G. G. Batrouni, and G. T. Zimanyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.3144 66, 3144 (1991);
32. W. Krauth, N. Trivedi, and D. Ceperley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.2307 67, 2307 (1991);
33. G. G. Batrouni and R. T. Scalettar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.9051 46, 9051 (1992);
34. J. Kisker and H. Rieger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R11981 55, R11981 (1997);
35. P. Hitchcock and E. S. Sorensen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.174523 73, 174523 (2006).
36. J.-W. Lee and M.-C. Cha, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.052513 70, 052513 (2004).
37. K. G. Singh and D. S. Rokhsar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.9013 49, 9013 (1994);
38. A. De Martino, M. Thorwart, R. Egger, and R. Graham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060402 94, 060402 (2005).
39. J. K. Freericks and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.2691 53, 2691 (1996).
40. R. V. Pai, R. Pandit, H. R. Krishnamurthy, and S. Ramasesha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2937 76, 2937 (1996).
41. S. Rapsch, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1999-00302-7 46, 559 (1999).
42. R. Pugatch, e-print arXiv:cond-mat/0603571;
43. P. Louis and M. Tsubota, e-print arXiv:cond-mat/0609195.
44. P. Buonsante and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033608 70, 033608 (2004).
45. P. Buonsante (unpublished).
46. O. Penrose and L. Onsager, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.104.576 104, 576 (1956).
47. J.-B. Bru and T. C. Dorlas, J. Stat. Phys. JSTPBS 0022-4715 113, 117 (2003).
48. See, e.g., P. A. Lee and T. V. Ramakhrishnan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.287 57, 287 (1985);
49. D. Belitz and T. R. Kirkpatrick, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.261 66, 261 (1994). Note that a BH model with no on-site disorder, vm =0, and random hopping amplitudes Am m′ → Am m′ (1+ τm m′) would correspond to a simple off-diagonal Anderson model.
50. A. Politi, A. Torcini, and S. Lepri, J. Phys. IV JPICEI 1155-4339 8 (P6), 263 (1998).
51. An alternate indicator for the NF is based on the quasiparticle gap. See, e.g., Dickerscheid, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043620 68, 043620 (2003). We prefer to use κ because it is related to the number-squeezing characterizing the MI phase at zero temperature and more easily evaluated.
52. C. Wu, H. Chen, J. Hu, and S. Zhang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.043609 69, 043609 (2004);
53. J. Zakrzewski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.043601 71, 043601 (2005);
54. J. Zakrzewski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.039904 72, 039904 (E) (2005);
55. A. M. Rey, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/155 8, 155 (2006);
56. X. Lu and Y. Yu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.063615 74, 063615 (2006);
57. M. Oktel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.045133 75, 045133 (2007).