Quantum phase transition of cold atoms in the bilayer hexagonal optical lattices

TL;DR

This paper investigates quantum phase transitions in cold atoms within bilayer hexagonal optical lattices, revealing the emergence of a supersolid phase and proposing experimental methods for observation.

Contribution

It introduces a scheme to study quantum phase transitions in bilayer hexagonal optical lattices and identifies a supersolid phase using quantum Monte Carlo simulations.

Findings

Identification of a supersolid phase with coexisting orders

Ground state phase diagrams including multiple phases

Proposal for experimental realization and observation

Abstract

We propose a scheme to investigate the quantum phase transition of cold atoms in the bilayer hexagonal optical lattices. Using the quantum Monte Carlo method, we calculate the ground state phase diagrams which contain an antiferromagnet, a solid, a superfluid, a fully polarized state and a supersolid. We find there is a supersolid emerging in a proper parameter space, where the diagonal long range order coexists with off-diagonal long range order. We show that the bilayer optical lattices can be realized by coupling two monolayer optical lattices and give an experimental protocol to observe those novel phenomena in the real experiments.