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Using the method of nonequilibrium statistical operator by Zubarev, an approach is proposed for the description of kinetics which takes into account the nonlinear hydrodynamic fluctuations for a quantum Bose system. Non-equilibrium…

Statistical Mechanics · Physics 2014-07-17 P. A. Hlushak , M. V. Tokarchuk

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is…

Statistical Mechanics · Physics 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

Hydrodynamic theories offer successful approaches that are capable of simulating the otherwise difficult-to-compute dynamics of quantum many-body systems. In this work we derive, within the positive-P phase-space formalism, a new stochastic…

Quantum Gases · Physics 2022-10-21 S. A. Simmons , J. C. Pillay , K. V. Kheruntsyan

We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

Nuclear Theory · Physics 2007-05-23 M. V. Tokarchuk , A. E. Kobryn

We study theoretically the non-equilibrium dynamics of a two-dimensional (2D) uniform Bose superfluid following a quantum quench, from its short-time (prethermal) coherent dynamics to its long-time thermalization. Using a quantum…

Quantum Gases · Physics 2023-04-19 Clément Duval , Nicolas Cherroret

We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Xu-Min Chen , Chen Wang , Ke-Wei Sun

A statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev. It is shown how…

Statistical Mechanics · Physics 2007-05-23 M. V. Tokarchuk , I. P. Omelyan , A. E. Kobryn

The temporal evolution of a perturbation of the equilibrium distribution of a condensed Bose gas is investigated using the kinetic equation which describes collision between condensate and noncondensate atoms. The dynamics is studied in the…

Quantum Gases · Physics 2011-02-01 Miguel Escobedo , Federica Pezzotti , Manuel Valle

A consistent statistical description of kinetics and hydrodynamics of dusty plasma is proposed based on the Zubarev nonequilibrium statistical operator method. For the case of partial dynamics the nonequilibrium statistical operator and the…

Statistical Mechanics · Physics 2014-03-05 B. Markiv , M. Tokarchuk

The hydrodynamic interpretation of quantum mechanics treats a system of particles in an effective manner. In this work, we investigate squeezed coherent states within the hydrodynamic interpretation. The Hamiltonian operator in question is…

Quantum Physics · Physics 2022-05-24 Nezihe Uzun

For a system to qualify as a quantum fluid, quantum-statistical effects should operate in addition to quantum-mechanical ones. Here, we address the hitherto unexplored dynamical condition for the quantum-statistical effects to be…

Quantum Physics · Physics 2023-03-21 Alessio Zaccone , Kostya Trachenko

We extend quantum kinetic theory to deal with a strongly Bose-condensed atomic vapor in a trap. The method assumes that the majority of the vapor is not condensed, and acts as a bath of heat and atoms for the condensate. The condensate is…

Statistical Mechanics · Physics 2009-10-30 C. W. Gardiner , P. Zoller

Hydrodynamic systems for quantum fluids are systems for compressible fluid flows for which quantum effects are macroscopically relevant. We discuss how the presence of the dispersive tensor describing the quantum effects alters the acoustic…

Analysis of PDEs · Mathematics 2020-11-30 Paolo Antonelli , Lars Eric Hientzsch , Pierangelo Marcati

For the quantum kinetic system modelling the Bose-Einstein Condensate that accounts for interactions between condensate and excited atoms, we use the Chapman-Enskog expansion to derive its hydrodynamic approximations, include both Euler and…

Quantum Gases · Physics 2018-10-17 Shi Jin , Minh-Binh Tran

Quantum integrable systems, such as the interacting Bose gas in one dimension and the XXZ quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. We…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

A unified view on macroscopic thermodynamics and quantum transport is presented. Thermodynamic processes with an exchange of energy between two systems necessarily involve the flow of other balanceable quantities. These flows are first…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 C. Strunk

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of a mathematical…

Analysis of PDEs · Mathematics 2018-03-28 Enrique Cortés , Miguel Escobedo

Statistical mechanics is one of the most comprehensive theories in physics. From a boiling pot of water to the complex dynamics of quantum many-body systems it provides a successful connection between the microscopic dynamics of atoms and…

Quantum Gases · Physics 2016-10-06 B. Rauer , T. Schweigler , T. Langen , J. Schmiedmayer

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

Nuclear Theory · Physics 2007-05-23 M. V. Tokarchuk , T. Arimitsu , A. E. Kobryn

We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range…

Statistical Mechanics · Physics 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero
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