Deconfinement in a 2D optical lattice of coupled 1D boson systems

TL;DR

This paper investigates phase transitions in a 2D array of coupled 1D boson systems, revealing a deconfinement transition from a Mott insulator to a superfluid and discussing implications for optical lattice experiments.

Contribution

It provides a detailed phase diagram and excitation analysis for coupled 1D boson tubes, highlighting the deconfinement transition and dimensional crossover phenomena.

Findings

Identifies a deconfinement transition between Mott insulator and superfluid phases.

Determines the phase diagram for 2D coupled 1D boson systems.

Discusses the impact on Bose condensates in optical lattices.

Abstract

We show that a two-dimensional (2D) array of 1D interacting boson tubes has a deconfinement transition between a 1D Mott insulator and a 3D superfluid for commensurate fillings and a dimensional crossover for the incommensurate case. We determine the phase diagram and excitations of this system and discuss the consequences for Bose condensates loaded in 2D optical lattices.