Nonequilibrium polariton condensation in biannular optically induced traps

TL;DR

This paper models nonequilibrium polariton condensation in annular optical traps, revealing complex mode spectra and topological transitions influenced by trap parameters, advancing understanding of polariton condensate behavior.

Contribution

It introduces a mean field model for polariton condensation in non-Hermitian annular traps, analyzing mode spectra and topological charge transitions with a novel multi-parameter map.

Findings

Condensation thresholds depend on trap parameters.

Topological charge transitions occur in a cascade.

Condensate states are highly sensitive to trap topology.

Abstract

We report the mean field model of nonequilibrium polariton condensation in annular effective non-Hermitian potential traps, stemming from incoherent optically induced excitonic reservoirs of annular shape. We solve the linearized extended Gross-Pitaevskii equation in the approximation of two delta-function effective shell potentials for complex spectra of trapped polariton modes and calculate corresponding condensation threshold optical pumping powers. The exhaustive map of condensate quantum number transitions in the multi-dimensional space of trap parameters, including a cascade of topological charge increments, is drastically different from the single annular trap case in topology and the range of accessible condensate states.