From Cooper pairs to Luttinger liquids with bosonic atoms in optical lattices

Physical Review Letters

Volumn 90, Issue 15, 2003, Pages

  Paredes, B ^a   Cirac, J I ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; CORRELATION METHODS; HAMILTONIANS; OPTICS; PROBABILITY DENSITY FUNCTION; ROTATION;

BOSONIC ATOMS; COOPER PAIRS; HILBERT SPACE; LUTTINGER LIQUIDS; OPTICAL LATTICES;

ATOMIC PHYSICS;

EID: 0038540602     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. S. Chu, Nature (London) 416, 206 (2002).
2. H.T.C. Stoof et al., Phys. Rev. Lett. 76, 10 (1996)
3. M. Houbiers et al., Phys. Rev. A 56, 4864 (1997).
4. B. DeMarco et al., Science 285, 1703 (1999)
5. F. Schreck et al., Phys. Rev. Lett. 87, 080403 (2001)
6. G. Truscott et al., Science 291, 2570 (2001)
7. Z. Hadzibabic et al., cond-mat/0112425
8. G. Roati et al., cond-mat/0205015.
9. M. Holland et al., Phys. Rev. Lett. 87, 120406 (2001)
10. Y. Ohashi et al., cond-mat/0201262
11. W. Hofstetter et al., cond-mat/0204237.
12. M. Greiner O. Mandel, T. Esslinger, Th. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
13. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).
14. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960)
15. B. Paredes et al., Phys. Rev. A 66, 033609 (2002)
16. M. Girardeau, Phys. Rev. 139, 500 (1965)
17. N.M. Bogoliubov, V.E. Korepin, and A.G. Izergin, in Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, England, 1993).
18. B. Paredes et al., Phys. Rev. Lett. 87, 10402 (2001)
19. B. Paredes et al., cond-mat/0203061.
20. The only requirement is that the interaction constant between the same internal levels is larger than the one between different ones. For simplicity, we have assumed that both internal levels have identical interactions, as would be the case for the m = ±1 states of the hyperfine manifold. In this regime, no three body losses can occur, since there are never three atoms in the same site.
21. S. Sachdev, in Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
22. The Hubbard Model. Recent Results. edited by M. Rasetti (World Scientific, Singapore, 1991)
23. The Hubbard Model. A Reprint Volume, edited by A. Motorsi (World Scientific, Singapore, 1992).
24. I. Bloch (private communication).
25. F.D.M. Haldane, J. Phys. C 14, 2585 (1981).
26. P. Nozieres and S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985)
27. D.M. Eagles, Phys. Rev. 186, 456 (1969)
28. A.J. Leggett, in Modern Trends in the Theory of Condensed Matter, edited by A. Pekalski and J. Przystawa (Springer-Verlag, Berlin, 1980)
29. M. Randeira, in Bose-Einstein Condensation, edited by A. Griffin, D.W. Snoke, and S. Stringari Cambridge University Press, Cambridge, England, 1995
30. A. Recati, P.O. Fedichev, W. Zwerger, and P. Zoller, cond-mat/0206424.
31. P. Fulde, in Electron Correlations in Molecules and Solids (Springer-Verlag, Berlin, 1995).
32. E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
33. K. Tanaka and F. Marsiglio, Phys. Rev. B 60, 3508 (1999).