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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…

统计力学 · 物理学 2021-03-03 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

The quantum dynamics of electron-nuclear systems is analyzed from the perspective of the exact factorization of the wavefunction, with the aim of defining gauge invariant equations of motion for both the nuclei and the electrons. For pure…

化学物理 · 物理学 2023-10-16 Rocco Martinazzo , Irene Burghardt

Many-body quantum-mechanical stationary states that have real valued wavefunctions are shown to satisfy a classical conservation of energy equation with a kinetic energy function. The terms in the equation depend on the probability…

原子物理 · 物理学 2021-07-23 James P. Finley

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

统计力学 · 物理学 2024-12-23 Zhaoyu Fei

The quantum mechanics is considered to be a partial case of the stochastic system dynamics. It is shown that the wave function describes the state of statistically averaged system $<\mathcal{S}_{st}>$, but not that of the individual…

综合物理 · 物理学 2007-05-23 Yuri A. Rylov

We perform a detailed analysis of the behavior of coherent and squeezed states undergoing time evolution. We calculate time dependence of expectation values of position and momentum in coherent and squeezed states (which can be interpreted…

量子物理 · 物理学 2018-02-14 Ziemowit Domański , Maciej Błaszak

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…

统计力学 · 物理学 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero

A new kinetic theory Boltzmann-like collision term including correlations is proposed. In equilibrium it yields the one-particle distribution function in the form of a generalised-Lorentzian resembling but not being identical with the…

等离子体物理 · 物理学 2009-10-31 R. A. Treumann

Quantum hydrodynamics is a formulation of quantum mechanics based on the probability density and flux (current) density of a quantum system. It can be used to define trajectories which allow for a particle-based interpretation of quantum…

量子物理 · 物理学 2019-12-02 Axel Schild

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

统计力学 · 物理学 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

We present a general, model-independent, quantum statistical treatment of the connection between the quantum and hydrodynamical pictures of reservoir driven macroscopic systems. This treatment is centred on the large scale properties of…

数学物理 · 物理学 2007-10-08 Geoffrey Sewell

In our paper [1], we proposed an original approach to the incorporation of stochastic thermodynamics into quantum theory. It is based on the concept of consistent inclusion of the holistic stochastic environmental influence modeled by…

量子物理 · 物理学 2012-11-14 A. D. Sukhanov , O. N. Golubeva , V. G. Bar'yakhtar

The hydrodynamic formulation of quantum mechanics is used to elucidate the mechanism for decoherence, the suppression of interference effects in a system evolving from an initial coherent superposition. Analysis of time-dependent trajectory…

量子物理 · 物理学 2007-05-23 Kyungsun Na , Robert E. Wyatt

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

软凝聚态物质 · 物理学 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

统计力学 · 物理学 2009-11-11 I. Kourakis , A. P. Grecos

The article explores a new formalism for describing motion in quantum mechanics. The construction is based on generalized coherent states with evolving fiducial vector. Weyl-Heisenberg coherent states are utilised to split quantum systems…

广义相对论与量子宇宙学 · 物理学 2020-09-10 Artur Miroszewski

Supersolids are theoretically predicted quantum states that break the continuous rotational and translational symmetries of liquids while preserving superfluid transport properties. Over the last decade, much progress has been made in…

量子气体 · 物理学 2019-07-03 Vili Heinonen , Keaton J. Burns , Jörn Dunkel

An approach to the description of kinetics which taking into account the large-scale hydrodynamic transport processes for quantum Bose system is proposed. The nonequilibrium statistical operator which consistently describes both the kinetic…

统计力学 · 物理学 2011-12-30 P. A. Hlushak , M. V. Tokarchuk

We develop a dynamical theory, based on a system of ordinary differential equations describing the motion of particles which reproduces the results of quantum mechanics. The system generalizes the Hamilton equations of classical mechanics…

量子物理 · 物理学 2012-07-12 Maxim Raykin

We show that the dynamics of a quantum system can be represented by the dynamics of an underlying classical systems obeying the Hamilton equations of motion. This is achieved by transforming the phase space of dimension $2n$ into a Hilbert…

统计力学 · 物理学 2023-08-02 Mário j. de Oliveira
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