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

Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates
Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates
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. Furthermore, we demonstrate coherence formation between two spatially displaced trapped condensate oscillators - the polaritonic analogue of Huygen’s clock synchronization for coupled condensate oscillators.
Polariton, Polariton Condensate, Coupled condensates, Coupled oscillators, Synchronisation
Toepfer, Julian Dominic
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Sigurdsson, Helgi
c6380293-fe97-4fd0-a819-cf35721d4e5d
Alyatkin, S.
940e954c-1de8-430f-8590-f050faea3e63
Lagoudakis, P.G.
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Toepfer, Julian Dominic
f3e89749-2912-4907-b712-6052b732dfb1
Sigurdsson, Helgi
c6380293-fe97-4fd0-a819-cf35721d4e5d
Alyatkin, S.
940e954c-1de8-430f-8590-f050faea3e63
Lagoudakis, P.G.
6db0f683-9025-4af9-903d-72b99962b284

Toepfer, Julian Dominic, Sigurdsson, Helgi, Alyatkin, S. and Lagoudakis, P.G. (2020) Lotka-Volterra population dynamics in coherent and tunable oscillators of trapped polariton condensates. Physical Review, B. (In Press)

Record type: Article

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. Furthermore, we demonstrate coherence formation between two spatially displaced trapped condensate oscillators - the polaritonic analogue of Huygen’s clock synchronization for coupled condensate oscillators.

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Accepted/In Press date: 4 November 2020
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Keywords: Polariton, Polariton Condensate, Coupled condensates, Coupled oscillators, Synchronisation

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Local EPrints ID: 444991
URI: http://eprints.soton.ac.uk/id/eprint/444991
PURE UUID: e92a9a14-0913-444c-b196-739b0e691b27
ORCID for Julian Dominic Toepfer:

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Date deposited: 17 Nov 2020 17:30
Last modified: 17 Nov 2020 17:30

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