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We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical…

Analysis of PDEs · Mathematics 2008-09-22 Walter H. Aschbacher , Marco Squassina

Time-dependently driven stochastic systems form a vast and manifold class of non-equilibrium systems used to model important applications on small length scales such as bit erasure protocols or microscopic heat engines. One property that…

Statistical Mechanics · Physics 2022-04-07 Julius Degünther , Timur Koyuk , Udo Seifert

We theoretically characterize the semiclassical dynamics of an ensemble of atoms after a sudden quench across a driven-dissipative second-order phase transition. The atoms are driven by a laser and interact via conservative and dissipative…

Quantum Physics · Physics 2016-08-24 Stefan Schütz , Simon B. Jäger , Giovanna Morigi

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

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

Quantum Physics · Physics 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

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

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

Experimental progress in atomic, molecular, and optical platforms in the last decade has stimulated strong and broad interest in the quantum coherent dynamics of many long-range interacting particles. The prominent collective character of…

Quantum Gases · Physics 2024-05-30 Nicolò Defenu , Alessio Lerose , Silvia Pappalardi

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

We study an ensemble of strongly coupled electrons under continuous microwave irradiation interacting with a dissipative environment, a problem of relevance to the creation of highly polarized non-equilibrium states in nuclear magnetic…

Statistical Mechanics · Physics 2017-10-18 Alexander Karabanov , Dominic C. Rose , Walter Köckenberger , Juan P. Garrahan , Igor Lesanovsky

The evolution of particulate and multiphase systems can transition from dynamic regimes, governed by classical transport equations with well-defined damping coefficients, to anomalously slow relaxation described by rate equations when the…

Soft Condensed Matter · Physics 2025-08-20 Carlos E. Colosqui

Metastable states arise in a range of quantum systems and can be observed in various dynamical scenarios, including decay, bubble nucleation, and long-lived oscillations. The phenomenology of metastable states has been examined in quantum…

Two-time correlations are a crucial tool to probe the dynamics of many-body systems. We use these correlation functions to study the dynamics of dissipative quantum systems. Extending the adiabatic elimination method, we show that the…

Quantum Gases · Physics 2015-06-11 Bruno Sciolla , Dario Poletti , Corinna Kollath

Systems of identical particles possessing non-local interactions are capable of exhibiting extra-classical properties beyond the characteristic quantum length scales. This letter derives the dynamics of such systems in the non-relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-24 Erik W Lentz , Thomas R Quinn , Leslie J Rosenberg

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

We introduce a discrete-time quantum dynamics on a two-dimensional lattice that describes the evolution of a $1+1$-dimensional spin system. The underlying quantum map is constructed such that the reduced state at each time step is…

Quantum Physics · Physics 2019-02-11 I. Lesanovsky , Katarzyna Macieszczak , Juan P. Garrahan

The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their efficiency in generating large…

Optics · Physics 2009-11-11 Carlo Ottaviani , Stojan Rebic , David Vitali , Paolo Tombesi

We investigate a long time asymptotic state of periodically driven open quantum systems analytically. The model we consider in this paper is a free fermionic system coupled to an energy and particle reservoir. We clarify some generic…

Statistical Mechanics · Physics 2016-11-14 Koudai Iwahori , Norio Kawakami

We propose an experiment with a driven quantum gas coupled to a dissipative optical cavity that realizes a novel kind of far-from-equilibrium phase transition between spatial and temporal order. The control parameter of the transition is…

Quantum Gases · Physics 2022-05-04 Zhao Zhang , Davide Dreon , Tilman Esslinger , Dieter Jaksch , Berislav Buca , Tobias Donner

We study relaxation and dephasing in a strongly driven two-level system interacting with its environment. We develop a theory which gives a straightforward physical picture of the complex dynamics of the system in terms of dressed states.…

Quantum Physics · Physics 2010-03-09 C. M. Wilson , G. Johansson , T. Duty , F. Persson , M. Sandberg , P. Delsing