Rotating BEC in an optical lattice in Uniformly frustrated Josephson Junction arrays regime: Vortex configuration formulation for ground state

TL;DR

This paper develops a vortex configuration formulation for the ground state of a rotating Bose-Einstein condensate in an optical lattice, modeled as a Josephson junction array, and compares it with Monte Carlo simulations.

Contribution

It introduces a vortex-based method to determine the ground state energy in a Josephson junction array regime for rotating BECs, including an approximation scheme and application to ladder systems.

Findings

Vortex lattice configurations are obtained for the ground state.

The method's results agree with Monte Carlo simulations.

Discussion on limitations and potential improvements of the approach.

Abstract

We consider a rotating BEC in an optical lattices in a regime which can be mapped to the Joseohson junction arrays. In this regime, we formulate the ground state energy in terms of vortex configuration. This method give us the vortex lattice in the ground state in a natural way. We apply our result for an approximation scheme of the problem which we suppose that the coupling of the Josephson junctions are uniform. Application of method for ladder case presented and the results compared with Monte-Carlo method numerically.We discuss about restriction of method and suggest improvement for it.