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The Dicke model, which describes the coupling of an ensemble of spins to a harmonic oscillator, is known for its superradiant phase transition, which can both be observed in the ground state in a purely Hamiltonian setting, as well as in…

Quantum Physics · Physics 2020-12-04 Florentin Reiter , Thanh Long Nguyen , Jonathan P. Home , Susanne F. Yelin

For the driven-dissipative system of two coupled bosonic modes in a nonlinear cavity resonator, we demonstrate a sequence of phase transitions from a trivial steady state to two distinct dissipative time crystalline phases. These effects…

Quantum Physics · Physics 2022-12-21 L. R. Bakker , M. S. Bahovadinov , D. V. Kurlov , V. Gritsev , Aleksey K. Fedorov , D. O. Krimer

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

We explore the connections between dissipative quantum phase transitions and non-Hermitian random matrix theory. For this, we work in the framework of the dissipative Dicke model which is archetypal of symmetry-breaking phase transitions in…

Quantum Physics · Physics 2022-05-25 Mahaveer Prasad , Hari Kumar Yadalam , Camille Aron , Manas Kulkarni

We study an array of two-level systems arranged on a lattice and illuminated by an external plane wave which drives a dipolar transition between the two energy levels. In this set up, the two-level systems are coupled by dipolar…

Quantum Gases · Physics 2018-06-20 C. D. Parmee , N. R. Cooper

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

First order phase transitions are ubiquitous in nature, however, this notion is ambiguous and highly debated in the case of quantum systems out of thermal equilibrium. We construct a paradigmatic example which allows for elucidating the key…

Quantum Physics · Physics 2023-12-22 B. Gábor , D. Nagy , A. Vukics , P. Domokos

Analytically solvable models are benchmarks in studies of phase transitions and pattern-forming bifurcations. Such models are known for phase transitions of the second kind in uniform media, but not for localized states (solitons), as…

Pattern Formation and Solitons · Physics 2023-08-17 Shatrughna Kumar , Pengfei Li , Liangwei Zeng , Jingsong He , Boris A. Malomed

We investigate the fate of dissipative phase transitions in quantum many-body systems when the individual constituents are qudits ($d$-level systems) instead of qubits. As an example system, we employ a permutation-invariant $XY$ model of…

Quantum Physics · Physics 2024-12-16 Lukas Pausch , François Damanet , Thierry Bastin , John Martin

Driven-dissipative quantum systems can undergo transitions from stationary to dynamical phases, reflecting the emergence of collective non-equilibrium behavior. We study such a transition in a Bose-Einstein condensate coupled to an optical…

A phase transition indicates a sudden change in the properties of a large system. For temperature-driven phase transitions this is related to non-analytic behavior of the free energy density at the critical temperature: The knowledge of the…

Statistical Mechanics · Physics 2015-03-20 Markus Heyl , Anatoli Polkovnikov , Stefan Kehrein

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase…

Quantum Physics · Physics 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially…

Pattern Formation and Solitons · Physics 2022-02-22 Frederik J. Thomsen , Lisa Rapp , Fabian Bergmann , Walter Zimmermann

In driven-dissipative bosonic systems, the interplay between coherent driving, inter-particle interactions and dissipation leads to a rich variety of non-equilibrium stationary states (NESS). In the semiclassical limit, the flow topology of…

Quantum Physics · Physics 2025-08-25 Kilian Seibold , Greta Villa , Javier del Pino , Oded Zilberberg

The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced…

Quantum Physics · Physics 2025-04-15 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

In this paper, we study the driven-dissipative p-spin models for $p\geq 2$. In thermodynamics limit, the equation of motion is derived by using a semiclassical approach. The long-time asymptotic states are obtained analytically, which…

Quantum Gases · Physics 2021-01-13 Pei Wang , Rosario Fazio

Shape-dependent thermodynamics and non-local hydrodynamics are argued to occur in dissipative steady states of driven diffusive systems. These predictions are confirmed by numerical simulations. Unlike power-law correlations, these…

Statistical Mechanics · Physics 2009-10-31 Francis J. Alexander , Gregory L. Eyink

Recent years have seen tremendous progress in the theoretical understanding of quantum systems driven dissipatively by coupling them to different baths at their edges. This was possible because of the concurrent advances in the models used…

Quantum Physics · Physics 2022-12-15 Gabriel T. Landi , Dario Poletti , Gernot Schaller

Gibbs statistical mechanics is derived for the Hamiltonian system coupling self-consistently a wave to N particles. This identifies Landau damping with a regime where a second order phase transition occurs. For nonequilibrium initial data…

Plasma Physics · Physics 2009-11-06 M. -C. Firpo , Y. Elskens

In this paper we investigate the Hamiltonian dynamics of a lattice gauge model in three spatial dimension. Our model Hamiltonian is defined on the basis of a continuum version of a duality transformation of a three dimensional Ising model.…

Statistical Mechanics · Physics 2022-02-21 Giulio Pettini , Matteo Gori , Roberto Franzosi , Cecilia Clementi , Marco Pettini
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