Quantum phase transition in a multicomponent Bose-Einstein condensate in optical lattices

Guang-Hong Chen, Yong-Shi Wu
2003 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... 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.
doi:10.1103/physreva.67.013606 fatcat:hbfykm7jnzc5pn6q3dt3qmvsx4