Dimer state of spin-1 bosons in an optical lattice

Physical Review Letters

Volumn 90, Issue 25 I, 2003, Pages 2504021-2504024

  Yip, S K ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; DIMERIZATION; GAS CONDENSATES; GROUND STATE; HAMILTONIANS; QUANTUM THEORY;

PHASE COHERENCE;

CRYSTAL LATTICES;

EID: 0041766779     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. M. Greiner et al., Nature (London) 415, 39 (2002).
2. M. P. A. Fisher et al., Phys. Rev. B 40, 546 (1989).
3. D. Jaksch et al., Phys. Rev. Lett. 81, 3108 (1998).
4. J. Stenger et al., Nature (London) 396, 245 (1999).
5. T. L. Ho, Phys. Rev. Lett. 81, 742 (1998).
6. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994).
7. The factor of 4 is due to the product of (a) 2 due to two hopping processes, from left (right) to right (left), and (b) 2 due to the identity of particles.
8. 0,2 > 0 guarantee that the energy would be higher when one well is doubly occupied (while the other is empty) than when each well has one single atom, as has been assumed here.
9. H. J. Zieger and G.W. Pratt, Magnetic Interactions in Solids (Clarendon Press, Oxford, 1973).
10. For review, see, e.g., I. Affleck, J. Phys. Condens. Matter 1, 3047 (1989).
11. J. B. Parkinson, J. Phys. C 21, 3793 (1988); M. N. Barber and M.T. Batchelor, Phys. Rev. B 40, 4621 (1989); A. Klümper, J. Phys. A 23, 809 (1990)
12. J. B. Parkinson, J. Phys. C 21, 3793 (1988); M. N. Barber and M.T. Batchelor, Phys. Rev. B 40, 4621 (1989); A. Klümper, J. Phys. A 23, 809 (1990)
13. J. B. Parkinson, J. Phys. C 21, 3793 (1988); M. N. Barber and M.T. Batchelor, Phys. Rev. B 40, 4621 (1989); A. Klümper, J. Phys. A 23, 809 (1990)
14. A.V. Chubukov, Phys. Rev. B 43, 3337 (1991).
15. G. Fáth and J. Sólyom, Phys. Rev. B 47, 872 (1993).
16. E. Demler and F. Zhou, Phys. Rev. Lett. 88, 163001 (2002).
17. Rigorously speaking, long range nematic order cannot exist in one dimension, but we believe that taking into account the responsible long wavelength fluctuations would not affect much the energetics under consideration here.
18. tot = 0.