Observability of Quantum Criticality and a Continuous Supersolid in Atomic Gases

TL;DR

This paper investigates the Bose-Hubbard model with a three-body constraint, revealing observable quantum critical points and a continuous supersolid phase in atomic gases, which could be detected experimentally.

Contribution

It introduces a mapping of the constrained Bose-Hubbard model to coupled bosonic fields, uncovering new quantum phases and critical phenomena.

Findings

Quantum Ising critical point at atomic to dimer superfluid transition

Continuous supersolid phase for strongly bound dimers

Potential experimental observability of these features

Abstract

We analyze the Bose-Hubbard model with a three-body hardcore constraint by mapping the system to a theory of two coupled bosonic degrees of freedom. We find striking features that could be observable in experiments, including a quantum Ising critical point on the transition from atomic to dimer superfluidity at unit filling, and a continuous supersolid phase for strongly bound dimers.