Reentrant transition of bosons in a quasiperiodic potential

TL;DR

This paper studies how a 2D array of Bose-Einstein condensate tubes transitions between superfluid and Mott insulator phases, revealing a reentrant behavior influenced by quasiperiodic potentials.

Contribution

It introduces a model for Bose-Einstein condensates in quasiperiodic potentials and predicts reentrant phase transitions using a Wannier function approach.

Findings

Reentrant transition between superfluid and Mott insulator phases.

Quasiperiodic potential induces unique phase behavior.

Predicts phase transitions with increasing potential strength.

Abstract

We investigate the behavior of a two dimensional array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using a Wannier function expansion for the wavefunction in each tube, we compute the Bose-Hubbard parameters related to two different longitudinal potentials, periodic and quasiperiodic. We predict that - upon increasing the external potential strength along the direction of the tubes - the condensate can experience a reentrant transition between a Mott insulating phase and the superfluid one.