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This Special Issue contains novel results in the area of out-of-equilibrium classical and quantum thermodynamics. Contributions are from different areas of physics, including statistical mechanics, quantum information and many-body systems.

History of engineering & technology --- quantum Otto engine --- Curzon–Ahlborn efficiency --- endoreversible quantum thermodynamics --- large deviations --- phase transitions --- condensation of fluctuations --- fluctuation relations --- magnetic cycle --- quantum otto cycle --- quantum thermodynamics --- quantum heat engines --- nonequilibrium systems --- ergotropy --- quantum correlations --- information thermodynamics --- collision model --- thermalization --- many-body quantum systems --- fluctuation relation --- Crooks equality --- coherence --- athermality --- photon added thermal state --- photon subtracted thermal state --- binomial states --- generalised coherent states --- laser cooling --- cavitation --- sonoluminescence --- fluctuation theorems --- collisional models

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This Special Issue contains novel results in the area of out-of-equilibrium classical and quantum thermodynamics. Contributions are from different areas of physics, including statistical mechanics, quantum information and many-body systems.

History of engineering & technology --- quantum Otto engine --- Curzon–Ahlborn efficiency --- endoreversible quantum thermodynamics --- large deviations --- phase transitions --- condensation of fluctuations --- fluctuation relations --- magnetic cycle --- quantum otto cycle --- quantum thermodynamics --- quantum heat engines --- nonequilibrium systems --- ergotropy --- quantum correlations --- information thermodynamics --- collision model --- thermalization --- many-body quantum systems --- fluctuation relation --- Crooks equality --- coherence --- athermality --- photon added thermal state --- photon subtracted thermal state --- binomial states --- generalised coherent states --- laser cooling --- cavitation --- sonoluminescence --- fluctuation theorems --- collisional models

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• EndNote
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The field of chaos in many-body quantum systems has a long history, going back to Wigner’s simple models for heavy nuclei. Quantum chaos is being investigated in a broad variety of experimental platforms such as heavy nuclei, driven (few-electron) atoms, ultracold quantum gases, and photonic or microwave realizations. Quantum chaos plays a new and important role in many branches of physics, from condensed matter problems of many-body localization, including thermalization studies in closed and open quantum systems, and the question of dynamical stability relevant for quantum information and quantum simulation. This Special Issue and its related book address theories and experiments, methods from classical chaos, semiclassics, and random matrix theory, as well as many-body condensed matter physics. It is dedicated to Prof. Shmuel Fishman, who was one of the major representatives of the field over almost four decades, who passed away in 2019.

quantum chaos --- decoherence --- Arnol’d cat --- classical limit --- correspondence principle --- cold atoms --- interacting fermions --- thermalization --- dynamical chaos --- Sinai oscillator --- quantum tunneling --- dissipation --- effective action --- quantum transport --- nonlinear Schrödinger equation --- Gross-Pitaevskii equation --- Schrödinger-Poisson equation --- Bose-Einstein condensate --- dark matter --- periodically kicked system --- Lorentzian potential --- topological horseshoe --- uniformly hyperbolicity --- sector condition --- fractal Weyl law --- survival probability --- correlation functions --- semiclassical approximation --- revival dynamics --- Morse oscillator --- atom-optics kicked rotor --- quantum resonance --- continuous-time quantum walks --- Bose–Einstein condensates --- quantum interference --- Aubry-André model --- correlation hole --- fluctuation theorems --- nonequilibrium statistical mechanics --- quantum thermodynamics --- phase transitions --- Dirac bosons --- mean field analysis --- adiabatic separation --- trapped ions --- Frenkel–Kontorova --- long–range interactions --- sine-Gordon kink --- quantum kicked rotor --- Anderson localisation --- dynamical localisation

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The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly

Research & information: general --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential

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The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev’s approach, which generalizes the notion of Gibbs’ ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev’s method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly

Research & information: general --- relativistic fluid dynamics --- statistical operator --- non-equilibrium states --- transport coefficients --- correlation functions --- open quantum system --- master equation --- non-equilibrium statistical operator --- relevant statistical operator --- quasi-temperature --- dynamic correlations --- QCD matter --- phase transition --- critical point --- nonequilibrium thermo-field dynamics --- kinetics --- hydrodynamics --- kinetic equations --- bound states --- quark-gluon plasma --- out-of-equilibrium quantum field theory --- dimensional renormalization --- finite-time-path formalism --- Boltzmann equation --- gluon saturation --- pion enhancement --- ALICE --- LHC --- thermalization --- hadronization --- Gibbs equilibrium statistical mechanics --- Bogoliubov’s quasi-averages --- pressure fluctuations --- relativistic ideal gas --- kinetic theory --- particle production --- Schwinger effect --- Zitterbewegung --- low density approximation --- quantum statistical mechanics --- relativistic hydrodynamics --- Kubo formulae --- graphene --- dynamic critical phenomena --- high-field and nonlinear effects --- QCD --- gluons --- Bose-Einstein condensate --- Fokker-Planck equation --- relaxation time approximation --- linear response theory --- permittivity, dynamical conductivity, absorption coefficient, dynamical collision frequency --- ordered lattice, disordered lattice --- Umklapp process --- interband transitions --- finite temperature field theory --- path integrals --- quantum fields in curved spacetime --- symmetries --- quantum anomalies --- irreversibility --- entropy --- electrical conductivity --- Zubarev operator --- Unruh effect --- acceleration --- Zubarev formalism --- pion chemical potential