Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions

Mei, Quanyu; Jia, Kai; Wouters, Michiel

doi:10.1103/physrevb.103.045302

Cited by 12 publications

(10 citation statements)

References 41 publications

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“…Enhancement of KPZ physics-An essential question concerns the visibility of the predicted 2D KPZ physics in experimental systems or numerical simulations with limited size. It turns out that the length scale L * above which the KPZ physics becomes visible is usually very large, and can exceed the accessible systems' size: this is the case for, e.g., the roughening transition in crystal surfaces [59], and for exciton-polaritons in two-dimensional microcavities [13,18,[60][61][62]. Here we show that the presence of a sine-Gordon nonlinearity can actually lower the 0 0.03 0.06 0.09 1…”

mentioning

confidence: 67%

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Diessel,

Diehl,

Chiocchetta

2021

Preprint

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mentioning

confidence: 67%

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Diessel,

Diehl,

Chiocchetta

2021

Preprint

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“…Similar techniques could be implemented in the EP system and lead to the possibility of accessing universal ratios of cumulants, thus enabling the demonstration of the typical non-Gaussian shape of the TW-GOE and TW-GUE probability distributions and the characterization of universality sub-classes. Last but not least, the investigation of KPZ universality in 2D is an exciting perspective both from the theoretical viewpoint, where few indications of KPZ scaling in EP systems have been reported [10,14], and from the experimental viewpoint, where a high-precision platform for exploring KPZ in 2D is still missing. * * * We acknowledge stimulating discussions with Alberto Amo, Jacqueline Bloch, and Maxime Richard.…”

Section: Two-point Statistics -Correlations Of Airy Processesmentioning

confidence: 99%

“…More precisely, the dynamics of the phase of the condensate wave function at long distances has been shown to obey the KPZ equation, and KPZ scaling has been reported in various conditions [10][11][12]. In particular, the KPZ exponents were found in numerical simulations of the one-dimensional [13] and two-dimensional [14] EP systems, as well as of photonic cavity arrays [15].…”

mentioning

confidence: 92%

Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons ^(a)

Deligiannis¹,

Squizzato²,

Minguzzi³

et al. 2020

EPL

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PACS 71.36.+c -Polaritons (including photon-phonon and photon-magnon interactions) PACS 64.60.Ht -Dynamical critical phenomena PACS 67.85.Jk -Other Bose-Einstein condensation phenomena Abstract -Exciton-polariton condensates under driven-dissipative conditions are predicted to belong to the Kardar-Parisi-Zhang (KPZ) universality class, the dynamics of the condensate phase at long distance satisfying the same equation as for classical stochastic interface growth. We show that by engineering an external confinement for one-dimensional polaritons we can access two different universality sub-classes, which are associated to the flat or curved geometry for the interface. Our results for the condensate phase distribution and correlations match with great accuracy with the exact theoretical results for KPZ: the Tracy-Widom distributions (GOE and GUE) for the one-point statistics, and covariance of Airy processes (Airy1 and Airy2) for the two-point statistics. This study promotes the exciton-polariton system as a compelling platform to investigate KPZ universal properties. focus articleCopyright c 2021 EPLA Introduction. -Phase transitions have been at the heart of statistical physics over the past 60 years, and a central issue for most areas of physics. Whereas a thorough understanding of critical behaviours has been acquired for equilibrium systems, the theoretical description of non-equilibrium phase transitions, in particular the ones involving non-equilibrium steady states, is still a major challenge and has been the subject of intense work in the last decades. Remarkably, self-organised criticality can emerge in non-equilibrium systems, leading to the onset of scale invariance without the need to tune any external parameter. This is realised in the celebrated Kardar-Parisi-Zhang (KPZ) equation [1]. Whereas it was originally derived to describe kinetic roughening of interfaces undergoing stochastic growth [2], the KPZ critical properties have been shown to arise in many non-equilibrium or disordered systems, ranging from turbulent liquid (a) Contribution to the Focus Issue Turbulent Regimes in Bose-Einstein Condensates edited by Alessandra Lanotte, Iacopo Carusotto and Alberto Bramati.

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“…One candidate for realizing the KPZ universality in both 1D and 2D is the phase dynamics of polariton condensates in semiconductor microcavities [12][13][14][15][16][17][18][19][20][21][22][23]. In the long-range limit, only fluctuations of the free phase of the condensate remain relevant; eliminating all others leads to a KPZ equation for this phase.…”

Section: Introductionmentioning

confidence: 99%

Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons

Ferrier

Zamora²,

Dagvadorj³

et al. 2022

Phys. Rev. B

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Recent approximate analytical work has suggested that, at certain values of the external pump, the optical parametric oscillator (OPO) regime of microcavity polaritons may provide a long-sought realization of Kardar-Parisi-Zhang (KPZ) physics in 2D. Here, by solving the full microscopic model numerically using the truncated Wigner method, we prove that this predicted KPZ phase for OPO is robust against the appearance of vortices or other effects. For those pump strengths, spatial correlations in the direction perpendicular to the pump, and the distribution of phase fluctuations, match closely to the forms characteristic of the KPZ universality. This strongly indicates the viability of observing KPZ behavior in future polariton OPO experiments.

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Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions

Cited by 12 publications

References 41 publications

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons ^(a)

Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons

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Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions

Cited by 12 publications

References 41 publications

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons (a)

Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons

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Accessing Kardar-Parisi-Zhang universality sub-classes with exciton polaritons ^(a)