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Under the Eigenstate Thermalization Hypothesis (ETH), quantum-quenched systems equilibrate towards canonical, thermal ensembles. While at first glance the ETH might seem a very strong hypothesis, we show that it is indeed not only…

Quantum Physics · Physics 2016-02-03 Giacomo De Palma , Alessio Serafini , Vittorio Giovannetti , Marcus Cramer

We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity the temperature can be computed as a…

chao-dyn · Physics 2009-10-30 Hans Henrik Rugh

The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

Statistical Mechanics · Physics 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir. The finite system can also be used as a thermometer for the…

Statistical Mechanics · Physics 2015-05-28 M. Falcioni , A. Puglisi , A. Sarracino , D. Villamaina , A. Vulpiani

Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to…

We present numerical results demonstrating the possibility of thermalization of single-particle observables in a one-dimensional integrable system (a quasicondensate of ultra-cold, weakly-interacting bosonic atoms being studied as a…

Quantum Gases · Physics 2011-12-01 Pjotrs Grisins , Igor E. Mazets

We present a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-10-17 Leonardo Giusti , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Davide Laudicina , Michele Pepe , Pietro Rescigno

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

We consider the out-of-equilibrium evolution of a classical condensate field and its quantum fluctuations for a Phi**4 model in 1+1 dimensions with a symmetric and a double well potential. We use the 2PPI formalism and go beyond the Hartree…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jurgen Baacke , Andreas Heinen

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mitsuhiro Kawasaki

Depending on the exact experimental conditions, the thermodynamic properties of physical systems can be related to one or more thermostatistical ensembles. Here, we survey the notion of thermodynamic temperature in different statistical…

Statistical Mechanics · Physics 2016-05-05 Peter Hänggi , Stefan Hilbert , Jörn Dunkel

A recently proposed method for the characterization and analysis of local equilibrium states in relativistic quantum field theory is applied to a simple model. Within this model states are identified which are locally (but not globally) in…

High Energy Physics - Theory · Physics 2009-11-10 Detlev Buchholz

The unconstrained ensemble describes completely open systems in which energy, volume and number of particles fluctuate. Here we show that not only equilibrium states can exist in this ensemble, but also that completely open systems can…

Statistical Mechanics · Physics 2021-04-14 Alessandro Campa , Lapo Casetti , Ivan Latella , Stefano Ruffo

The thermal or equilibrium ensemble is one of the most ubiquitous states of matter. For models comprised of many locally interacting quantum particles, it describes a wide range of physical situations, relevant to condensed matter physics,…

Quantum Physics · Physics 2023-12-06 Álvaro M. Alhambra

Ensemble inequivalence occurs when a systems thermodynamic properties vary depending on the statistical ensemble used to describe it. This phenomenon is known to happen in systems with long-range interactions and has been observed in many…

Statistical Mechanics · Physics 2026-04-09 Daniel Arrufat-Vicente , David Mukamel , Stefano Ruffo , Nicolo Defenu

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

Strongly Correlated Electrons · Physics 2013-08-27 Michael Stark , Marcus Kollar

The unitary dynamics of isolated quantum systems does not allow a pure state to thermalize. Because of that, if an isolated quantum system equilibrates, it will do so to the predictions of the so-called "diagonal ensemble" $\rho_{DE}$.…

Quantum Physics · Physics 2018-11-14 Fabio Anza

We study how isotropic and homogeneous far-from-equilibrium quantum systems relax to nonthermal attractors, which are of interest for cold atoms and nuclear collisions. We demonstrate that a first-order ordinary differential equation…

High Energy Physics - Theory · Physics 2024-02-19 Michal P. Heller , Aleksas Mazeliauskas , Thimo Preis

Hybrid quantum systems consisting of a collection of N spin-1/2 particles uniformly interacting with an electromagnetic field, such as one confined in a cavity, are important for the development of quantum information processors and will be…

Quantum Physics · Physics 2024-12-04 Lane G. Gunderman , Troy Borneman , David G. Cory