Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 6, 2004, Pages

  Buonsante, P ^a   Penna, V ^a   Vezzani, A ^b  

^a POLITECNICO DI TORINO   (Italy)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC INSULATION; FERMIONS; GAS CONDENSATES; GROUND STATE; HAMILTONIANS; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; PHASE DIAGRAMS; PHASE TRANSITIONS; QUANTUM THEORY;

ENERGY GAPS; INCOMPRESSIBLE DOMAINS; INSULATOR LOOPHOLE DOMAINS; ONE-DIMENSIONAL SUPERLATTICES;

SUPERLATTICES;

EID: 42749104816     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.061603     Document Type: Article

References (25)

1. M. P. A. Fisher et al., Phys. Rev. B 40, 546 (1989).
2. D. Jaksch et al., Phys. Rev. Lett. 81, 3108 (1998).
3. M. Greiner et al., Nature (London) 415, 39 (2002).
4. S. Peil et al., Phys. Rev. A 67, 051603(R) (2003).
5. L. Guidoni and P. Verkerk, Phys. Rev. A 57, R1501 (1998).
6. R. Roth and K. Burnett, Phys. Rev. A 68, 023604 (2003).
7. L. Santos et al., Phys. Rev. Lett. 93, 030601 (2004).
8. P. Buonsante and A. Vezzani, Phys. Rev. A 70, 033608 (2004).
9. P. Jain and C. W. Gardiner, J. Phys. B 37, 3649 (2004).
10. M. Girardeau, J. Math. Phys. 1, 516 (1960). For recent work about strongly interacting ultracold atoms, see also M. A. Cazalilla, Phys. Rev. A 67, 053606 (2003); B. Paredes et al., Nature (London) 429, 277 (2004); T. Kinoshita et al., Science 305, 1125 (2004).
11. M. Girardeau, J. Math. Phys. 1, 516 (1960). For recent work about strongly interacting ultracold atoms, see also M. A. Cazalilla, Phys. Rev. A 67, 053606 (2003); B. Paredes et al., Nature (London) 429, 277 (2004); T. Kinoshita et al., Science 305, 1125 (2004).
12. M. Girardeau, J. Math. Phys. 1, 516 (1960). For recent work about strongly interacting ultracold atoms, see also M. A. Cazalilla, Phys. Rev. A 67, 053606 (2003); B. Paredes et al., Nature (London) 429, 277 (2004); T. Kinoshita et al., Science 305, 1125 (2004).
13. M. Girardeau, J. Math. Phys. 1, 516 (1960). For recent work about strongly interacting ultracold atoms, see also M. A. Cazalilla, Phys. Rev. A 67, 053606 (2003); B. Paredes et al., Nature (London) 429, 277 (2004); T. Kinoshita et al., Science 305, 1125 (2004).
14. K. Sheshadri et al., Europhys. Lett. 22, 257 (1993).
15. Of course the hard-core limit of a system of N bosons maps onto a system of mod(N, M) spinless fermions.
16. For a detailed discussion see E. Korotyaev and I. V. Krasovsky, Commun. Math. Phys. 234, 517 (2003).
17. P. Buonsante et al., Laser Phys. (to be published), e-print cond-mat/0409385.
18. Recall that, when approximation (3) is adopted, the total number of bosons is no longer conserved, and one cannot consider one fixed-number subspace at a time.
19. An analytic description of the low-filling loophole domains is possible for some simple superlattices. We report about it elsewhere Ref. [14].
20. J. K. Freericks and M. Monien, Phys. Rev. B 53, 2691 (1996).
21. P. Buonsante et al., Phys. Rev. B 70, 184520 (2004).
22. For a review see, e.g., Y. Iba, Trans. Jpn. Soc. Art. Intell. 16, 279 (2001), e-print cond-mat/0008226.
23. T. D. Kühner and H. Monien, Phys. Rev. B 58, R14741 (1998).
24. S. Konabe et al., e-print cond-mat/0407229.
25. O. Morsch et al., Phys. Rev. Lett. 87, 140402 (2001).