Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates

TL;DR

This paper explores exciton-polariton condensates in elliptical traps, demonstrating tunable population dynamics following Lotka-Volterra equations, and coherence synchronization akin to coupled oscillators, revealing new controllable quantum oscillator behaviors.

Contribution

It introduces a tunable two-level polariton condensate system exhibiting Lotka-Volterra dynamics and demonstrates coherence synchronization between spatially separated oscillators.

Findings

Population ratio follows Lotka-Volterra dynamics.

Near terahertz harmonic oscillations observed.

Coherence established between separated condensates.

Abstract

We demonstrate a regime in which matter-wave condensates of exciton-polaritons trapped in an elliptically shaped two-dimensional potential appear as a coherent mixture of ground and first-excited state of the quantum harmonic oscillator. This system resembles an optically controllable two-level system and produces near terahertz harmonic oscillations of the condensate's center of mass along the major axis of the elliptical trapping potential. The population ratio between the two trap levels is tunable through the excitation laser power and is shown to follow Lotka-Volterra dynamics. We demonstrate coherence formation between two spatially displaced trapped condensate oscillators - the polaritonic analogue of Huygen's clock synchronization for coupled condensate oscillators.