# The optical control of phase locking of polariton condensates

## TL;DR

This paper demonstrates how external coherent light can control the phase locking of exciton polariton condensates, enabling synchronization and symmetry-breaking states, with analysis supported by a zero-dimensional coupled oscillator model.

## Contribution

It introduces a method to optically control phase locking in polariton condensates and analyzes the bifurcation scenarios of symmetry-breaking states using a coupled oscillator model.

## Key findings

- External coherent light can lock the phase and frequency of polariton condensates.
- Synchronization can induce symmetry-breaking states at moderate driving strength.
- High-intensity driving restores symmetric states, suppressing symmetry-breaking.

## Abstract

The phase and the frequency of an exciton polariton condensate excited by a nonresonant pump can be efficiently manipulated by an external coherent light. Being tuned close to the resonance with the condensate eigenfrequency, the external laser light imposes its frequency to the condensate and locks its phase, thereby manifesting a synchronization effect. The conditions of formation of the phase synchronized regime are determined. The synchronization of a couple of closely spaced polariton condensates by a spatially uniform coherent light is examined. At the moderate strength of the coherent driving the synchronization is accompanied by the appearance of symmetry-breaking states of the polariton dyad, while these states are superseded by the symmetric state at the high-intensity driving. By employing a zero-dimensional model of coupled dissipative oscillators with both dissipative and conservative coupling, we study the bifurcation scenario of the symmetry-breaking state formation.