Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: From superfluidity to density waves

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 1, 2006, Pages

  Mazzarella, G ^a   Giampaolo, S M ^a   Illuminati, F ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; FREE ENERGY; HAMILTONIANS; MATHEMATICAL MODELS; PHASE DIAGRAMS; SUPERFLUID HELIUM;

BOSONIC ATOMS; EXTENDED BOSE HUBBARD (EBH); OPTICAL LATTICES;

ELEMENTARY PARTICLES;

EID: 33144484349     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.013625     Document Type: Article

References (61)

1. M. Greiner, I. Bloch, O. Mandel, T. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4447 87, 160405 (2001).
2. C. Orzel, A. K. Tuchman, M. L. Fenslau, M. Yasuda, and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.1058149 291, 2386 (2001).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
4. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
5. J. R. Anglin and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/416211a 416, 211 (2002).
6. P. S. Jessen and I. H. Deutsch, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 37, 95 (2002).
7. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
8. 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).
9. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.053601 63, 053601 (2001);
10. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.033606 67, 033606 (2003).
11. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. EULEEJ 0295-5075 22, 257 (1993).
12. J. Ruostekoski, G. V. Dunne, and J. Javanainen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.180401 88, 180401 (2002).
13. W. Hofstetter, J. I. Cirac, P. Zoller, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.220407 89, 220407 (2002).
14. B. Paredes and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.150402 90, 150402 (2003).
15. A. Recati, P. O. Fedichev, W. Zwerger, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.020401 90, 020401 (2003).
16. H. P. Büchler, G. Blatter, and W. Zwerger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.130401 90, 130401 (2003).
17. F. Illuminati and A. Albus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090406 93, 090406 (2004).
18. A. J. Kerman, V. Vuletic, C. Chin, and S. Chu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.439 84, 439 (2000).
19. P. S. Jessen, D. L. Haycock, G. Klose, G. A. Smith, I. H. Deutsch, and G. K. Brennen, Quantum Inf. Comput. QICUAW 1533-7146 1, 20 (2001).
20. L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402 91, 090402 (2003).
21. I. H. Deutsch, G. K. Brennen, and P. S. Jessen, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521-3978(200009)48:9/11<925::AID-PROP925>3.0.CO;2-A 48, 925 (2000).
22. D. Jaksch, H. J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1975 82, 1975 (1999).
23. J. J. Garcia-Ripoll and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.127902 90, 127902 (2003).
24. U. Dorner, P. Fedichev, D. Jaksch, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.073601 91, 073601 (2003).
25. J. K. Pachos and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.107902 91, 107902 (2003).
26. 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).
27. W. Zwerger, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/5/2/352 5, S9 (2003).
28. S. M. Giampaolo, F. Illuminati, G. Mazzarella, and S. De Siena, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.061601 70, 061601 (R) (2004).
29. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
30. P. Buonsante, V. Penna, and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.061603 70, 061603 (R) (2004).
31. P. Buonsante, V. Penna, and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.031602 72, 031602 (R) (2005).
32. P. Buonsante, R. Burioni, D. Cassi, and A. Vezzani, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.094207 66, 094207 (2002).
33. P. Buonsante, R. Burioni, D. Cassi, V. Penna, and A. Vezzani, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.224510 70, 224510 (2004).
34. K. B. Efetov and A. I. Larkin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 69, 75 (1975);
35. K. B. Efetov and A. I. Larkin, [Sov. Phys. Solid State SPSSA7 0038-5654 42, 390 (1976)].
36. V. J. Emery, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.2989 14, 2989 (1976).
37. V. J. Emery, in Chemistry and Phyiscs of One-Dimensional Metals, edited by, H. J. Keller, (Plenum, New York, (1977).
38. S. Robaszkiewicz, R. Micnas, and K. A. Chao, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.1447 23, 1447 (1981).
39. S. Robaszkiewicz, R. Micnas, and K. A. Chao, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.1579 24, 1579 (1981).
40. V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by, J. T. Devreese, (Plenum, New York, 1979).
41. J. Solyom, Adv. Phys. ADPHAH 0001-8732 10.1080/00018737900101375 28, 201 (1979).
42. H. Q. Lin, E. Gagliano, D. K. Campbell, E. H. Fradkin, and J. E. Gubernatis, in The Hubbard Model: Its Physics and Mathematical Physics, edited by, D. Baeriswyl, D. K. Campbell, J. M. P. Carmelo, F. Guinea, and, E. Louis, (Plenum, New York, 1995);
43. H. Q. Lin, D. K. Campbell, and R. T. Clay, Chin. J. Phys. (Taipei) CJOPAW 0577-9073 38, 1 (2000).
44. H. Heiselberg, cond-mat/0510688.
45. F. Massel and V. Penna, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053619 72, 053619 (2005).
46. P. Niyaz, R. T. Scalettar, C. Y. Fong, and G. G. Batrouni, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.362 50, 362 (1994).
47. G. G. Batrouni, R. T. Scalettar, G. T. Zimanyi, and A. P. Kampf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2527 74, 2527 (1995).
48. V. W. Scarola and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.033003 95, 033003 (2005).
49. A. Isacsson and S. M. Girvin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053604 72, 053604 (2005).
50. E. Vives, T. Castan, and A. Planes, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.18681 65, 907 (1997).
51. G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, and M. Inguscio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.011601 68, 011601 (R) (2003).
52. A. van Otterlo, K. H. Wagenblast, R. Baltin, C. Bruder, R. Fazio, and G. Schön, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.16176 52, 16176 (1995).
53. A. Albus, F. Illuminati, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023606 68, 023606 (2003).
54. M. Cramer, J. Eisert, and F. Illuminati, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.190405 93, 190405 (2004).
55. M. Lewenstein, L. Santos, M. A. Baranov, and H. Fehrmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050401 92, 050401 (2004);
56. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.021601 69, 021601 (R) (2004);
57. L. D. Carr and M. J. Holland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.031604 72, 031604 (2005).
58. A. Sanpera, A. Kantian, L. Sanchez-Palencia, J. Zakrzewski, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040401 93, 040401 (2004).
59. A. D. Sen, U. Sen, M. Lewenstein, V. Ahufinger, M. Pons, and A. Sanpera, e-print quant-ph/0508018;
60. V. Ahufinger, L. Sanchez-Palencia, A. Kantian, A. Sanpera, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063616 72, 063616 (2005).
61. F. de Pasquale, G. L. Giorgi, and S. Paganelli, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.042304 71, 042304 (2005).