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The presence of symmetries in a closed many-body quantum system results in integrability. For such integrable systems, complete thermalization does not occur. As a result, the system remains non-ergodic. On the other hand, a set of…

量子物理 · 物理学 2021-04-20 Saptarshi Saha , Rangeet Bhattacharyya

We investigate the time evolution of a generic and finite isolated quantum many-body system starting from a pure quantum state. We find the kinematical general canonical principle proposed by Popescu-Short-Winter for statistical mechanics…

量子物理 · 物理学 2012-01-17 Shuai Cui , Jun-Peng Cao , Hui Jing , Heng Fan , Wu-Ming Liu

We discuss the thermalization process in the kinetic approximation in the presence of non--zero initial anomalous quantum expectation values on top of an initial non--planckian (non--thermal) level population. Namely we derive a system of…

高能物理 - 理论 · 物理学 2022-03-01 E. T. Akhmedov , K. Kazarnovskii

Molecular dynamics simulations are used to model ion and neutral temperature evolution in partially-ionized atmospheric pressure plasma at different ionization fractions. Results show that ion-ion interactions are strongly coupled at…

等离子体物理 · 物理学 2023-01-04 M. D. Acciarri , C. Moore , S. D. Baalrud

Time evolution of a perturbed thermal state is studied in a quantum-mechanical system with O(N) symmetry. In the limit of large N, time dependence of O(N)-singlet expectation values can be described by classical equations of motion in a…

量子物理 · 物理学 2009-03-26 P. V. Buividovich

A statistical-type model is developed to describe the ion production and electron emission in collisions of (molecular) ions with atoms. The model is based on the Boltzmann population of the bound electronic energy levels of the quasi…

原子物理 · 物理学 2016-08-19 Zoltán Juhász

We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $\omega$. The survival probability is for small $r$ given by $e^{-\Gamma t}$ for times of order…

原子物理 · 物理学 2007-05-23 Ovidiu Costin , Joel L. Lebowitz , Alexander Rokhlenko

We study the long-time behavior of the 3-dimensional repulsive nonlinear Hartree equation with an external attractive Coulomb potential $-Z/|x|$, which is a nonlinear model for the quantum dynamics of an atom. We show that, after a…

偏微分方程分析 · 数学 2016-01-20 Enno Lenzmann , Mathieu Lewin

Based on the view that thermal equilibrium should be characterized through macroscopic observations, we develop a general theory about typicality of thermal equilibrium and the approach to thermal equilibrium in macroscopic quantum systems.…

统计力学 · 物理学 2018-08-02 Hal Tasaki

It is believed that thermalization in closed systems of interacting particles can occur only when the eigenstates are fully delocalized and chaotic in the preferential (unperturbed) basis of the total Hamiltonian. Here we demonstrate that…

量子物理 · 物理学 2018-01-17 Fausto Borgonovi , Felix M. Izrailev

It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state of maximal entropy. This property, while compatible with…

统计力学 · 物理学 2026-03-17 Anton Kapustin

The last decade has witnessed the remarkable progress in our understanding of thermalization in isolated quantum systems. Combining the eigenstate thermalization hypothesis with quantum measurement theory, we extend the framework of quantum…

统计力学 · 物理学 2018-10-31 Yuto Ashida , Keiji Saito , Masahito Ueda

We discuss a simple toy model which allows, in a natural way, for deriving central facts from thermodynamics such as its fundamental laws, including Carnot's version of the second principle. Our viewpoint represents thermodynamic systems as…

量子物理 · 物理学 2022-05-17 Ämin Baumeler , Carla Rieger , Stefan Wolf

How do indistinguishable identical bosons manage to obey Bose-Einstein statistics---and hence be correlated---even when they do not interact with each other? Part of the answer is that the bosons have to interact indirectly with each other…

量子物理 · 物理学 2018-11-28 S. J. van Enk

Based on accurate Lennard-Jones type interaction potentials, we derive a closed set of state equations for the description of warm atomic gases in the presence of ionization processes. The specific heat is predicted to exhibit peaks in…

等离子体物理 · 物理学 2013-10-23 Antonio Capolupo , Salvatore M. Giampaolo , Fabrizio Illuminati

An atom, coupled linearly to an environment, is considered in a harmonic approximation in thermal equilibrium inside a cavity. The environment is modeled by an infinite set of harmonic oscillators. We employ the notion of dressed states to…

量子物理 · 物理学 2012-01-25 F. C. Khanna , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

A quantum system and a thermal bath can reach thermal equilibrium through an interaction, whereupon the system acquires the same temperature as the bath. But how does a delocalised quantum system thermalise with a bath whose local…

量子物理 · 物理学 2026-01-06 Carolyn E. Wood , Harshit Verma , Fabio Costa , Magdalena Zych

The evolution of a driven quantum system is said to be adiabatic whenever the state of the system stays close to an instantaneous eigenstate of its time-dependent Hamiltonian. The celebrated quantum adiabatic theorem ensures that such pure…

量子物理 · 物理学 2021-10-04 Nikolai Il`in , Anastasia Aristova , Oleg Lychkovskiy

Thermodynamic quantities of Coulomb plasmas consisting of point-like ions immersed in a compressible, polarizable electron background are calculated for ion charges Z=1 to 26 and for a wide domain of plasma parameters ranging from the…

等离子体物理 · 物理学 2016-09-08 G. Chabrier , A. Y. Potekhin

Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter…

量子物理 · 物理学 2026-01-05 Dhruv Devulapalli , T. C. Mooney , James D. Watson