Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 4, 2010, Pages

  Hen, Itay ^a   Rigol, Marcos ^a  

^a GEORGETOWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROXIMATION; ANALYTICAL EXPRESSIONS; CLUSTER MEAN-FIELD METHODS; CONDENSATE DENSITY; EQUATION OF STATE; GROUND STATE PROPERTIES; HARD-CORE BOSONS; HIGH DEGREE OF ACCURACY; HOPPING AMPLITUDE; INHOMOGENEOUS SYSTEM; INSULATING DOMAINS; LOCAL QUANTITIES; MEAN FIELD APPROACH; NUMERICAL STUDIES; OPTICAL LATTICES; QUANTUM FLUCTUATION; QUANTUM MONTE CARLO; STRONGLY CORRELATED BOSONS; SUPERFLUID DENSITY; THREE-DIMENSIONAL LATTICES;

BIOELECTRIC PHENOMENA; BOSONS; EQUATIONS OF STATE; QUANTUM ELECTRONICS; SPIN FLUCTUATIONS; SPIN WAVES; THREE DIMENSIONAL;

MONTE CARLO METHODS;

EID: 78650955413     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.043634     Document Type: Article

References (44)

1. 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).
2. I. B. Spielman, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.080404 98, 080404 (2007).
3. I. B. Spielman, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.120402 100, 120402 (2008).
4. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
5. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
6. K. Jimenez-Garcia, R. L. Compton, Y.-J. Lin, W. D. Phillips, J. V. Porto, and I. B. Spielman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 110401 105, 110401 (2010).
7. S. Trotzky, L. Pollet, F. Gerbier, U. Schnorrberger, I. Bloch, N. V. Prokof'ev, B. Svistunov, and M. Troyer, e-print arXiv: 0905.4882.
8. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.40.546 40, 546 (1989).
9. G. G. Batrouni, R. T. Scalettar, and G. T. Zimanyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1765 65, 1765 (1990).
10. J. K. Freericks and H. Monien, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.53.2691 53, 2691 (1996).
11. T. D. Kühner and H. Monien, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.58.R14741 58, R14741 (1998).
12. B. Capogrosso-Sansone, S. G. Söyler, N. Prokof'ev, and B. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.015602 77, 015602 (2008).
13. 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).
14. G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117203 89, 117203 (2002).
15. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.031601 66, 031601 (R) (2002).
16. C. Kollath, U. Schollwöck, J. von Delft, and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.031601 69, 031601 (R) (2004).
17. S. Wessel, F. Alet, M. Troyer, and G. G. Batrouni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053615 70, 053615 (2004).
18. M. Rigol, G. G. Batrouni, V. G. Rousseau, and R. T. Scalettar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.053605 79, 053605 (2009).
19. This is with the exception of the special one-dimensional case where the model can be solved analytically due to the Jordan-Wigner transformation which enables the mapping of the hardcore boson Hamiltonian to that of noninteracting spinless fermions.
20. K. Bernardet, G. G. Batrouni, J.-L. Meunier, G. Schmid, M. Troyer, and A. Dorneich, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.65.104519 65, 104519 (2002).
21. A. W. Sandvik, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.59.R14157 59, R14157 (1999).
22. A. Dorneich and M. Troyer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.066701 64, 066701 (2001).
23. I. Hen and M. Rigol, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80. 134508 80, 134508 (2009).
24. I. Hen, M. Iskin, and M. Rigol, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.064503 81, 064503 (2010).
25. M. E. Fisher, M. N. Barber, and D. Jasnow, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.1111 8, 1111 (1973).
26. K. S. Liu and M. E. Fisher, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00655458 10, 655 (1973).
27. Y.-C. Cheng, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.23.157 23, 157 (1981).
28. R. T. Scalettar, G. G. Batrouni, A. P. Kampf, and G. T. Zimanyi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.51.8467 51, 8467 (1995).
29. G. Murthy, D. Arovas, and A. Auerbach, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.55.3104 55, 3104 (1997).
30. T. Roscilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.023601 82, 023601 (2010).
31. M. Rigol, A. Muramatsu, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.130403 91, 130403 (2003).
32. M. Rigol and A. Muramatsu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053612 69, 053612 (2004);
33. M. Rigol and A. Muramatsu, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2004.10.040 243, 33 (2004).
34. X.-J. Liu, P. D. Drummond, and H. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.136406 94, 136406 (2005).
35. V. L. Campo Jr. and K. Capelle, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.061602 72, 061602 (R) (2005).
36. H. Heiselberg, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.033608 74, 033608 (2006).
37. G. Xianlong, M. Polini, M. P. Tosi, V. L. Campo Jr., K. Capelle, and M. Rigol, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.165120 73, 165120 (2006).
38. L. De Leo, C. Kollath, A. Georges, M. Ferrero, and O. Parcollet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.210403 101, 210403 (2008).
39. G. G. Batrouni, H. R. Krishnamurthy, K. W. Mahmud, V. G. Rousseau, and R. T. Scalettar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023627 78, 023627 (2008).
40. M. Campostrini and E. Vicari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.023606 81, 023606 (2010).
41. M. Campostrini and E. Vicari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063614 81, 063614 (2010).
42. N. Gemelke, X. Zhang, C.-L. Hung, and Cheng Chin, Nature (London) NATUAS 0028-0836 10.1038/nature08244 460, 995 (2009).
43. W. S. Bakr, J. I. Gillen, A. Peng, S. Foelling, and M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/nature08482 462, 74 (2009).
44. J. F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, and S. Kuhr, Nature (London) 0028-0836 10.1038/nature09378 467, 68 (2010).