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Related papers: Observation of Kardar-Parisi-Zhang universal scali…

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Revealing universal behaviors is a hallmark of statistical physics. Phenomena such as the stochastic growth of crystalline surfaces, of interfaces in bacterial colonies, and spin transport in quantum magnets all belong to the same…

The statistics of the fluctuations of quantum many-body systems are highly revealing of their nature. In driven-dissipative systems displaying macroscopic quantum coherence, as exciton polariton condensates under incoherent pumping, the…

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 satisfying the same equation as for classical stochastic…

Statistical Mechanics · Physics 2024-08-29 Konstantinos Deligiannis , Davide Squizzato , Anna Minguzzi , Léonie Canet

Exciton-polaritons under driven-dissipative conditions exhibit a condensation transition which belongs to a different universality class than equilibrium Bose-Einstein condensates. By numerically solving the generalized Gross-Pitaevskii…

Statistical Mechanics · Physics 2018-06-06 Davide Squizzato , Léonie Canet , Anna Minguzzi

We perform a numerical study on the two-dimensional nonequilibrium exciton-polariton systems driven by incoherent pumping based on the stochastic generalized Gross-Pitaevskii equation. We calculate the density fluctuation, coherence…

Quantum Gases · Physics 2021-01-13 Quanyu Mei , Kai Ji , Michiel Wouters

We investigate space-time coherence in one-dimensional lattices of exciton-polariton condensates formed by fully reconfigurable non-resonant optical pumping. Starting from an open-dissipative Gross-Pitaevskii equation with deterministic…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 D. Novokreschenov , V. Neplokh , M. Misko , N. Starkova , T. Cookson , A. Kudlis , A. Nalitov , I. A. Shelykh , A. V. Kavokin , P. Lagoudakis

We study the effect of generic spatial anisotropies on the scaling behavior in the Kardar-Parisi-Zhang equation. In contrast to its "conserved" variants, anisotropic perturbations are found to be relevant in d > 2 dimensions, leading to…

Statistical Mechanics · Physics 2009-11-07 Uwe C. Tauber , E. Frey

Kardar-Parisi-Zhang (KPZ) scaling has been observed in discrete polariton lattices, enabled by engineered band structures that stabilize the condensate. Whether this universality extends to intrinsically continuous systems with natural…

Quantum Gases · Physics 2026-04-17 Mikhail Misko , Natalia Starkova , Pavlos G. Lagoudakis

We elucidate the universal spatio-temporal scaling properties of the time-dependent correlation functions in a class of two-component one-dimensional (1D) driven diffusive system that consists of two coupled asymmetric exclusion process. By…

Statistical Mechanics · Physics 2024-06-17 Pritha Dolai , Aditi Simha , Abhik Basu

The Kardar-Parisi-Zhang (KPZ) universality class describes a broad range of non-equilibrium fluctuations, including those of growing interfaces, directed polymers and particle transport, to name but a few. Since the year 2000, our…

Statistical Mechanics · Physics 2018-05-29 Kazumasa A. Takeuchi

Universal scaling near phase transitions is one of the central ideas of physics, linking the growth of spatial correlations to the slowing down of dynamics. So far, direct experimental access to this critical behavior has remained largely…

We investigate the finite-size origin of the emission linewidth of a spatially-extended, one-dimensional non-equilibrium condensate. We show that the well-known Schawlow-Townes scaling of laser theory, possibly including the Henry…

Statistical Mechanics · Physics 2023-03-07 Ivan Amelio , Alessio Chiocchetta , Iacopo Carusotto

Many systems, classical or quantum, closed or open, exhibit universal statistical properties. Exciton-polariton condensates, being intrinsically driven-dissipative, offer a promising platform for observing non-equilibrium universal…

We assess the dependence on substrate dimensionality of the asymptotic scaling behavior of a whole family of equations that feature the basic symmetries of the Kardar-Parisi-Zhang (KPZ) equation. Even for cases in which, as expected from…

Statistical Mechanics · Physics 2015-06-15 Matteo Nicoli , Rodolfo Cuerno , Mario Castro

The one-dimensional Kardar-Parisi-Zhang (KPZ) equation is becoming an overarching paradigm for the scaling of nonequilibrium, spatially extended, classical and quantum systems with strong correlations. Recent analytical solutions have…

Statistical Mechanics · Physics 2022-08-31 Enrique Rodriguez-Fernandez , Silvia N. Santalla , Mario Castro , Rodolfo Cuerno

We examine height-height correlations in the transient growth regime of the 2+1 Kardar-Parisi-Zhang (KPZ) universality class, with a particular focus on the {\it spatial covariance} of the underlying two-point statistics, higher-dimensional…

Statistical Mechanics · Physics 2014-03-31 T. Halpin-Healy , G. Palasantzas

This work investigates the origin of Kardar-Parisi-Zhang (KPZ) scaling in the phase dynamics of one-dimensional and two-dimensional polariton condensates. We demonstrate that the key mechanism leading to the observed power laws for the…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Denis Novokreschenov , Alexey Kavokin

The Kardar-Parisi-Zhang (KPZ) class is a paradigmatic example of universality in nonequilibrium phenomena, but clear experimental evidences of asymptotic 2D-KPZ statistics are still very rare, and far less understanding stems from its…

Statistical Mechanics · Physics 2017-06-26 R. A. L. Almeida , S. O. Ferreira , I. Ferraz , T. J. Oliveira

We study the synchronization physics of 1D and 2D oscillator lattices subject to noise and predict a dynamical transition that leads to a sudden drastic increase of phase diffusion. Our analysis is based on the widely applicable…

Statistical Mechanics · Physics 2017-08-02 Roland Lauter , Aditi Mitra , Florian Marquardt

Active fluids and growing interfaces are two well-studied but very different non-equilibrium systems. Each exhibits non-equilibrium behavior quite different from that of their equilibrium counterparts. Here we demonstrate a surprising…

Soft Condensed Matter · Physics 2016-08-09 Leiming Chen , Chiu Fan Lee , John Toner
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