Cavity polaritons: Classical behaviour of a quantum parametric oscillator

TL;DR

This paper develops a classical model for semiconductor cavity exciton-polariton parametric oscillators using a hyperspin formalism, enabling analysis of their statistical behavior under pulsed excitation.

Contribution

It introduces a hyperspin formalism that simplifies quantum dynamics to a classical Liouville equation for large polariton numbers.

Findings

Classical behavior emerges in large polariton ensembles.

The formalism provides insights into polariton statistics.

Potential applications in designing polariton-based devices.

Abstract

We address theoretically the optical parametric oscillator based on semiconductor cavity exciton-polaritons under a pulsed excitation. A "hyperspin" formalism is developed which allows, in the case of large number of polaritons, to reduce quantum dynamics of the parametric oscillator wavefunction to the Liouville equation for the classical probability distribution. Implications for the statistics of polariton ensembles are analyzed.