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arXiv · 1407.7788

A self-consistent Hartree-Fock approach for interacting bosons in optical lattices

Qin-Qin Lü·Kelly R. Patton·Daniel E. Sheehy
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Abstract

A theoretical study of interacting bosons in a periodic optical lattice is presented. Instead of the commonly used tight-binding approach (applicable near the Mott insulating regime of the phase diagram), the present work starts from the exact single-particle states of bosons in a cubic optical lattice, satisfying the Mathieu equation, an approach that can be particularly useful at large boson fillings. The effects of short-range interactions are incorporated using a self-consistent Hartree-Fock approximation, and predictions for experimental observables such as the superfluid transition temperature, condensate fraction, and boson momentum distribution are presented.

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Qin-Qin Lü, Kelly R. Patton, Daniel E. Sheehy. 2014-07-29. A self-consistent Hartree-Fock approach for interacting bosons in optical lattices. https://doi.org/10.1103/physreva.90.063625

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