Two-component polariton condensate in optical microcavity

TL;DR

This paper introduces a novel two-component polariton condensate model in optical microcavities, featuring nonlinear tunneling, and explores its phase transitions and ground state properties.

Contribution

The work develops a new extended Bose-Hubbard model with nonlinear tunneling terms specific to polariton condensates in microcavities.

Findings

Identification of a first-order phase transition driven by nonlinear tunneling strength

Proposal of a scheme to obtain the polariton condensate wave function

Analysis of dynamic and ground state properties of the model

Abstract

We present a scheme for engineering the extended two-component Bose-Hubbard model using polariton condensate supported by optical microcavity. Compared to the usual two-component Bose-Hubbard model with only Kerr nonlinearity, our model includes a nonlinear tunneling term which depends on the number difference of the particle in the two modes. In the mean field treatment, this model is an analog to a nonrigid pendulum with a variable pendulum length whose sign can be also changed. We study the dynamic and ground state properties of this model and show that there exists a first-order phase transition as the strength of the nonlinear tunneling rate is varied. Furthermore, we propose a scheme to obtain the polariton condensate wave function.