Mean-field theory for the Mott insulator-paired superfluid transition in the two-species Bose-Hubbard model

TL;DR

This paper develops an improved mean-field theory for the Mott insulator to paired superfluid transition in a two-species Bose-Hubbard model, providing an analytic expression for the transition boundary.

Contribution

It introduces a novel mean-field approach focusing on paired particles, addressing limitations of standard theories for this phase transition.

Findings

Derived an analytic boundary for the phase transition.

Enhanced understanding of paired superfluid phases.

Provides a framework for future theoretical and experimental studies.

Abstract

The standard mean-field theory for the Mott insulator-superfluid phase transition is not sufficient to describe the Mott insulator-paired superfluid phase transition. Therefore, by restricting the two-species Bose-Hubbard Hamiltonian to the subspace of paired particles, and using perturbation theory, here we derive an analytic mean-field expression for the Mott insulator-paired superfluid transition boundary.