Josephson dynamics for coupled polariton modes under the atom-field interaction in the cavity

TL;DR

This paper explores the Josephson dynamics and collective excitations of coupled polariton modes in a cavity, revealing regimes like Rabi oscillations and self-trapping, influenced by nonlinear interactions and initial conditions.

Contribution

It introduces a new approach to polariton BEC dynamics under strong coupling, analyzing coupled upper and lower polariton modes with Kerr-like nonlinearity.

Findings

Derived dispersion relations for collective excitations.

Predicted Josephson transition, Rabi oscillations, and self-trapping regimes.

Analyzed switching behavior of population imbalance.

Abstract

We consider a new approach to the problem of Bose-Einstein condensation (BEC) of polaritons for atom-field interaction under the strong coupling regime in the cavity. We investigate the dynamics of two macroscopically populated polariton modes corresponding to the upper and lower branch energy states coupled via Kerr-like nonlinearity of atomic medium. We found out the dispersion relations for new type of collective excitations in the system under consideration. Various temporal regimes like linear (nonlinear) Josephson transition and/or Rabi oscillations, macroscopic quantum self-trapping (MQST) dynamics for population imbalance of polariton modes are predicted. We also examine the switching properties for time-averaged population imbalance depending on initial conditions, effective nonlinear parameter of atomic medium and kinetic energy of low-branch polaritons.