Lattice bosons with infinite range checkerboard interactions

TL;DR

This paper investigates a 2D Bose gas in an optical lattice with cavity-induced infinite range checkerboard interactions, revealing a rich phase diagram including Mott insulator, charge density wave, superfluid, and supersolid phases.

Contribution

It provides the first detailed theoretical analysis of phase competition in a Bose gas with cavity-mediated infinite range interactions, inspired by recent experiments.

Findings

Identified phase boundaries between Mott insulator, charge density wave, superfluid, and supersolid phases.

Mapped the phase diagram in both homogeneous and trapped systems.

Predicted experimental signatures of different phases.

Abstract

Motivated by experiments performed by Landig et al. [Nature 532, 476-479], we consider a two dimensional Bose gas in an optical lattice, trapped inside a single mode superradiant Fabry Perot cavity. The cavity mediates infinite range checkerboard interactions between the atoms, which produces competition between Mott insulator, charge density wave, superfluid and supersolid phases. We calculate the phase diagram of this Bose gas in a homogeneous system and in the presence of a harmonic trap.