Nonlinear behavior of bosons in anisotropic optical lattices

TL;DR

This paper explores the nonlinear dynamics of bosons in anisotropic optical lattices, linking experimental parameters to theoretical models and predicting phase transitions between superfluid and Mott insulator states.

Contribution

It introduces a method to connect macroscopic experimental parameters with the Bose-Hubbard model using an anisotropic non-polynomial Schrödinger equation and predicts reentrant phase transitions.

Findings

Increasing lattice strength induces a reentrant transition between superfluid and Mott insulator phases.

Theoretical predictions align with experimental tunability of optical lattice parameters.

The approach provides a framework for understanding nonlinear behaviors in anisotropic optical lattices.

Abstract

We investigate the behavior of an array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using an anisotropic non-polynomial Schrodinger equation we link the macroscopic parameters in the Bose-Hubbard Hamiltonian to the ones that are tunable in experiments. Using a mean field approach we predict that increasing the optical lattice strength along the direction of the tubes, the condensate can experience a reentrant transition between a Mott insulating phase and the superfluid one.