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We investigate the influence of boundaries and spatial nonreciprocity on nonequilibrium driven-dissipative phase transitions. We focus on a one-dimensional lattice of nonlinear bosons described by a Lindblad master equation, where the…

Quantum Physics · Physics 2025-09-26 Ron Belyansky , Cheyne Weis , Ryo Hanai , Peter B. Littlewood , Aashish A. Clerk

We have considered two classical lattice-gas models, consisting of particles that carry multicomponent magnetic momenta, and associated with a two-dimensional square lattices; each site can host one particle at most, thus implicitly…

Statistical Mechanics · Physics 2007-05-23 H Chamati , S Romano

We investigate the process of coarsening via annihilation of vortex-antivortex pairs, following the quench to the condensate phase in a nonresonantly pumped polariton system. We find that the late-time dynamics is an example of universal…

Quantum Gases · Physics 2017-02-23 Michał Kulczykowski , Michał Matuszewski

We study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature $\beta>2$. In this regime, the partition function diverges and the interaction needs to be cut off at a length scale $\lambda\in…

Mathematical Physics · Physics 2026-02-24 Jeanne Boursier , Sylvia Serfaty

Using a supervised neural network (NN) trained once on a one-dimensional lattice of 200 sites, we calculate the Berezinskii--Kosterlitz--Thouless phase transitions of the two-dimensional (2D) classical $XY$ and the 2D generalized classical…

Statistical Mechanics · Physics 2021-10-05 Y. -H. Tseng , F. -J. Jiang

The quenched dynamics of an ultracold homogeneous atomic two-dimensional Bose gas subjected to periodic quenches across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition are discussed. Specifically, we address the effect of…

Quantum Gases · Physics 2021-02-03 Kate Brown , Thomas Bland , Paolo Comaron , Nick P. Proukakis

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models these are vortices: above a…

Superconductivity · Physics 2026-02-27 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur

Liquid crystals in two dimensions do not support long-ranged nematic order, but a quasi-nematic phase where the orientational correlations decay algebraically is possible. The transition from the isotropic to the quasi-nematic phase can be…

Statistical Mechanics · Physics 2014-12-30 Richard L. C. Vink

We investigate the properties of a two-dimensional \emph{spinor} microcavity polariton system driven by a linearly polarised continuous pump. In particular, we establish the role of the elementary excitations, namely the so-called…

Quantum Gases · Physics 2024-01-03 G. Dagvadorj , P. Comaron , M. H. Szymanska

The existence of a discontinuity in the inverse dielectric constant of the two-dimensional Coulomb gas is demonstrated on purely numerical grounds. This is done by expanding the free energy in an applied twist and performing a finite-size…

Statistical Mechanics · Physics 2007-05-23 K. Borkje , S. Kragset , A. Sudbo

Driving and dissipation can stabilize Bose-Einstein condensates. Using Keldysh field theory, we analyze this phenomenon for Markovian systems that can comprise on-site two-particle driving, on-site single-particle and two-particle loss, as…

Quantum Gases · Physics 2024-02-29 Yikang Zhang , Thomas Barthel

We discuss the d=2 quantum O(2)xO(2) nonlinear sigma model as a low-energy theory of phase reconstruction near a quantum critical point. We first examine the evolution of the Berezinskii-Kosterlitz-Thouless (BKT) transition as the quantum…

Strongly Correlated Electrons · Physics 2015-11-05 C. A. Hooley , S. T. Carr , J. M. Fellows , J. Schmalian

We study non-linear rheology of a simple theoretical model developed to mimic layered systems such as lamellar structures under shear. In the present work we study a 2-dimensional version of the model which exhibits a Kosterlitz-Thouless…

Statistical Mechanics · Physics 2009-11-13 Hajime Yoshino , Hiroshi Matsukawa , Satoshi Yukawa , Hikaru Kawamura

The interplay of the non-equivalent corners in the Brillouin zone of transition metal dichalcogenides have been investigated extensively. While experimental and theoretical works contributed to a detailed understanding of the relaxation of…

Mesoscale and Nanoscale Physics · Physics 2023-10-13 Malte Selig , Dominik Christiansen , Manuel Katzer , Mariana V. Ballottin , Peter C. M. Christianen , Andreas Knorr

We observe quasi-long range coherence in a two-dimensional condensate of exciton-polaritons. Our measurements are the first to confirm that the spatial correlation algebraically decays with a slow power-law, whose exponent quantitatively…

We numerically investigate the nonlinear dynamics of a two-dimensional exciton-polariton quantum fluid coherently driven by two counter-propagating laser beams. Using an exciton-photon coupled driven-dissipative Gross-Pitaevskii framework,…

Quantum Physics · Physics 2026-03-06 Louis Depaepe , Kayce Ouahrouche , Alberto Amo , Clement Hainaut

We propose a four wave mixing experiment to probe the elementary excitation spectrum of a non-equilibrium Bose-Einstein condensate of exciton-polaritons under non-resonant pumping. Analytical calculations based on mean-field theory show…

Other Condensed Matter · Physics 2009-11-13 Michiel Wouters , Iacopo Carusotto

Polaritonic lattices offer a unique testbed for studying nonlinear driven-dissipative physics. They show qualitative changes of a steady state as a function of system parameters, which resemble non-equilibrium phase transitions. Unlike…

Mesoscale and Nanoscale Physics · Physics 2022-05-16 D. Zvyagintseva , H. Sigurdsson , V. K. Kozin , I. Iorsh , I. A. Shelykh , V. Ulyantsev , O. Kyriienko

Polariton condensates occur away from thermal equilibrium, in an open system where heat and particles are continually exchanged with reservoirs. These phenomena have been extensively analyzed in terms of kinetic equations. Based on the…

Quantum Physics · Physics 2024-10-08 Luisa Toledo Tude , Paul R. Eastham

We study nonlinear fluctuating hydrodynamic theories with charge and energy conservation in and above two dimensions that describe the large-scale behavior of the Hamiltonian XY model in the disordered and ordered phases. Using…

Statistical Mechanics · Physics 2025-02-18 Ken Hiura