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Kardar-Parisi-Zhang universality in the phase distributions of one-dimensional exciton-polaritons

Exciton-polaritons under driven-dissipative conditions exhibit a condensation transition that belongs to a different universality class from that of equilibrium Bose-Einstein condensates. By numerically solving the generalized Gross-Pitaevskii equation with realistic… Click to show full abstract

Exciton-polaritons under driven-dissipative conditions exhibit a condensation transition that belongs to a different universality class from that of equilibrium Bose-Einstein condensates. By numerically solving the generalized Gross-Pitaevskii equation with realistic experimental parameters, we show that one-dimensional exciton-polaritons display fine features of Kardar-Parisi-Zhang (KPZ) dynamics. Beyond the scaling exponents, we show that their phase distribution follows the Tracy-Widom form predicted for KPZ growing interfaces. We moreover evidence a crossover to the stationary Baik-Rains statistics. We finally show that these features are unaffected on a certain timescale by the presence of a smooth disorder often present in experimental setups.

Keywords: kardar parisi; exciton polaritons; exciton; parisi zhang; one dimensional; dimensional exciton

Journal Title: Physical Review B
Year Published: 2017

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