A Quantum Theory of Cold Bosonic Atoms in Optical Lattices

Details A Quantum Theory of Cold Bosonic Atoms in Optical Lattices A Quantum Theory of Cold Bosonic Atoms in Optical Lattices

2011-05-11

arxiv.org/abs/1105.2084v1

Phys. Rev. A 84, 033622 (2011)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.84.033622

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which provides a qualitative description of both superfluid and insulator states. The theory is based on a change of variables in which the boson coherent state amplitude is replaced by an effective potential which promotes phase coherence between different number states on each lattice site. It is illustrated here by applying it to uniform and fully frustrated lattice cases, but is simple enough that it can easily be applied to spatially inhomogeneous lattice systems.

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