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It was recently suggested by Blythe and Evans that a properly defined steady state normalisation factor can be seen as a partition function of a fictitious statistical ensemble in which the transition rates of the stochastic process play…

Statistical Mechanics · Physics 2009-11-10 Richard Brak , Jan de Gier , Vladimir Rittenberg

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

Quantum Gases · Physics 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilibrium structures are shown to correspond to statistical…

Statistical Mechanics · Physics 2009-11-07 Julien Barre' , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo

Nonequilibrium phase transition plays a pivotal role in a broad physical context from condensed matter to cosmology. Tracking the formation of non-equilibrium phases in condensed matter is challenging and requires a resolution of the…

Mesoscale and Nanoscale Physics · Physics 2019-11-15 Faran Zhou , Joseph Williams , Christos D. Malliakas , Mercouri G. Kanatzidis , Alexander F. Kemper , Chong-Yu Ruan

A nonequilibrium statistical operator method is developed for ensembles of particles obeying non-Hamiltonian equations of motion in classical phase space. The main consequences of non-zero compressibility of phase space are examined in…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov , Jianshu Cao

The evolution of a quasi-isolated finite quantum system from a nonequilibrium initial state is considered. The condition of quasi-isolation allows for the description of the system dynamics on the general basis, without specifying the…

Quantum Physics · Physics 2015-06-04 V. I. Yukalov

Characterization and quantification of non-Markovian dynamics in open quantum systems are topical issues in the rapidly developing field of quantum computation and quantum communication. A standard approach based on the notion of…

Quantum Physics · Physics 2026-04-01 Kelvin Onggadinata , Teck Seng Koh

The dynamical behaviour of many-body systems is often richer than what can be anticipated from their static properties. Here we show that in closed quantum systems this becomes evident by considering time-integrated observables as order…

Statistical Mechanics · Physics 2013-06-14 James M. Hickey , Sam Genway , Igor Lesanovsky , Juan P. Garrahan

At transitions between phases of matter, physical systems can exhibit universal behavior independent of their microscopic details. Probing such behavior in quantum many-body systems is a challenging and practically important problem that…

We study incompressible systems of motile particles with alignment interactions. Unlike their compressible counterparts, in which the order-disorder (i.e., moving to static) transition, tuned by either noise or number density, is…

Soft Condensed Matter · Physics 2015-04-09 Leiming Chen , John Toner , Chiu Fan Lee

We investigate the correspondence between a non-equilibrium ensemble defined via the distribution of phase-space paths of a Hamiltonian system, and a system driven into a steady-state by non-equilibrium boundary conditions. To discover…

Statistical Mechanics · Physics 2014-01-27 Milos Knezevic , R. M. L. Evans

While equilibrium phase transitions are well described by a free-energy landscape, there are few tools to describe general features of their non-equilibrium counterparts. On the other hand, near-equilibrium free-energies are easily…

Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can…

Statistical Mechanics · Physics 2013-10-24 David A. Huse , Rahul Nandkishore , Vadim Oganesyan , Arijeet Pal , S. L. Sondhi

The topological features of quantum many-body wave functions are known to have profound consequences for the physics of ground-states and their low-energy excitations. We describe how topology influences the dynamics of many-body systems…

Strongly Correlated Electrons · Physics 2019-12-30 Max McGinley , Nigel R. Cooper

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

The statistical properties of physical systems in thermal equilibrium are blatantly different from their far-from-equilibrium counterparts. In the latter, fluctuations often dominate the dynamics and might cluster in ordered patterns in the…

It has recently been emphasized again that the very existence of stationary stable localized structures with short range interactions might allow to store information in non-equilibrium media, opening new perspectives on information…

Chaotic Dynamics · Physics 2007-05-23 P. Coullet , C. Toniolo , C. Tresser

We propose a systematic approach to the non-equilibrium dynamics of strongly interacting many-body quantum systems, building upon the standard perturbative expansion in the Coulomb interaction. High order series are derived from the Keldysh…

Strongly Correlated Electrons · Physics 2019-10-16 Corentin Bertrand , Serge Florens , Olivier Parcollet , Xavier Waintal

Recently, a measure for the non-Markovian behavior of quantum processes in open systems has been developed which is based on the quantification of the flow of information between the open system and its environment [Phys. Rev. Lett. 103,…

Quantum Physics · Physics 2015-05-18 Elsi-Mari Laine , Jyrki Piilo , Heinz-Peter Breuer