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Phys. Rev. A 63, 053601 (2001) [12 pages]

Quantum phases in an optical lattice

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D. van Oosten1,2, P. van der Straten2, and H. T. C. Stoof1
1Institute for Theoretical Physics, University of Utrecht, Princetonplein 5, 3584 CC Utrecht, The Netherlands
2Debye Institute, University of Utrecht, Princetonplein 5, 3584 CC Utrecht, The Netherlands

Received 6 November 2000; published 12 April 2001

We present the zero-temperature phase diagram of bosonic atoms in an optical lattice, using two different mean-field approaches. The phase diagram consists of various insulating phases and a superfluid phase. We explore the nature of the insulating phase by calculating both the quasiparticle and quasihole dispersion relation. We also determine the parameters of our single band Bose-Hubbard model in terms of the microscopic parameters of the atoms in the optical lattice.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.053601
DOI:
10.1103/PhysRevA.63.053601
PACS:
03.75.Fi, 67.40.-w, 32.80.Pj, 39.25.+k