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The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

We add a Heisenberg interaction term $\propto\lambda$ in the one-dimensional SU(2)$\otimes$XY spin-orbital model introduced by B. Kumar. At $\lambda=0$ the spin and orbital degrees of freedom can be separated by a unitary transformation…

Strongly Correlated Electrons · Physics 2016-08-08 Wojciech Brzezicki , Imre Hagymási , Jacek Dziarmaga , Örs Legeza

Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on static interaction structures or within mean-field…

Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

We show that condensate-induced transitions between two-dimensional topological phases provide a general framework to relate one-dimensional spin models at their critical points. We demonstrate this using two examples. First, we show that…

Strongly Correlated Electrons · Physics 2013-07-18 Teresia Mansson , Ville Lahtinen , Juha Suorsa , Eddy Ardonne

In this work, we employed Monte Carlo simulations to study the Ising, $XY$, and Heisenberg models on a simple cubic lattice, where the system models evolve toward the steady state under the influence of competition between one- and two-spin…

Statistical Mechanics · Physics 2024-12-23 R. A. Dumer , M. Godoy

We develop a new fermionic path-integral formalism to analyze the phase diagram of open nonequilibrium systems. The formalism is applied to analyze an ensemble of two-level atoms interacting with a single-mode optical cavity, described by…

Engineering dissipative dynamics in open quantum systems is under active focus, especially in topological settings where resilient edge modes are expected to exhibit decay rates distinct from the bulk. In this letter, we propose an…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Koustav Roy , Shahroze Shahab , Saurabh Basu

We study a dynamical phase transition in optical bistable systems subject to a time-periodic driving field. The phase transition occurs in the structure of limit cycle as a function of the frequency of the driving field. In the…

Statistical Mechanics · Physics 2020-01-13 Tatsuhiko Shirai , Synge Todo , Seiji Miyashita

We propose a thermodynamic multi-state spin model in order to describe equilibrial behavior of a society. Our model is inspired by the Axelrod model used in social network studies. In the framework of the statistical mechanics language, we…

Physics and Society · Physics 2015-01-09 Jozef Genzor , Vladimir Buzek , Andrej Gendiar

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo

We analyze the unitary time evolution of a conduction electron, described by a two-level system, interacting with two-level systems (spins) through a spin-spin interaction and prove that coherent spin states of the conduction electron are…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Marco Frasca

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system. Starting from a system-reservoir…

Quantum Physics · Physics 2020-01-22 Wassilij Kopylov , Gernot Schaller

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

We introduce an $xy$ generalization of the frustrated Ising model on a triangular lattice. The presence of continuous degrees of freedom stabilizes a {\em finite-temperature} spin state with {\em power-law} discrete spin correlations and an…

Condensed Matter · Physics 2009-10-22 P. Chandra , P. Coleman , L. B. Ioffe

We consider strongly interacting systems of effective spins, subject to dissipative spin-flip processes associated with optical pumping. We predict the existence of novel magnetic phases in the steady-state of this system, which emerge due…

Quantum Gases · Physics 2013-06-21 Tony E. Lee , Sarang Gopalakrishnan , Mikhail D. Lukin

We explore the influence of dissipation on a paradigmatic driven-dissipative model where a collection of two level atoms interact with both quadratures of a quantum cavity mode. The closed system exhibits multiple phase transitions…

Quantum Gases · Physics 2018-09-18 Matteo Soriente , Tobias Donner , R. Chitra , Oded Zilberberg

Equilibration of observables in closed quantum systems that are described by a unitary time evolution is a meanwhile well-established phenomenon apart from a few equally well-established exceptions. Here we report the surprising theoretical…

Strongly Correlated Electrons · Physics 2021-09-22 P. Vorndamme , H. -J. Schmidt , Chr. Schröder , J. Schnack

We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase…

Probability · Mathematics 2016-06-29 Francesca Collet , Wioletta Ruszel

We study dynamical properties of dissipative XYZ Heisenberg lattices where anisotropic spin-spin coupling competes with local incoherent spin flip processes. In particular, we explore a region of the parameter space where dissipative…

Quantum Physics · Physics 2019-07-09 Riccardo Rota , Fabrizio Minganti , Alberto Biella , Cristiano Ciuti