Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices

Details Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices

2002-05-21

arxiv.org/abs/cond-mat/0205440v1

Phys. Rev. A67 (2003) 013606

Physics

Condensed Matter

Soft Condensed Matter

19 pages, 1 figure

Scientific paper

10.1103/PhysRevA.67.013606

We present the general lattice model for a multi-component atomic Bose-Einstein system in the optical lattice. Using the model, we analytically study the quantum phase transition between Mott insulator and superfluid. A mean-field theory is developed from the Mott insulator ground state. When the inter-species interactions are strong enough, the Mott insulator demonstrates the phase separation behavior. For weak inter-species interactions, the multi species system is miscible. Finally, the phase diagram is discussed with the emphasis on the role of inter-species interactions. The tips of the Mott insulator lobes do not depend on the inter-species interactions, but they indeed modify the range of lobes.

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