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Quantitative measure of disorder or randomness based on the entropy production characterizes thermodynamical irreversibility, which is relevant to the conventional second law of thermodynamics. Here we report, in a quantum mechanical…

量子物理 · 物理学 2020-07-07 J. W. Zhang , K. Rehan , M. Li , J. C. Li , L. Chen , S. -L. Su , L. -L. Yan , F. Zhou , M. Feng

Quantum processes can exhibit scenarios beyond a fixed order of events. We propose information inequalities that, when violated, constitute sufficient conditions to certify quantum processes without a fixed causal order -- causally…

量子物理 · 物理学 2025-05-21 Matheus Capela , Kaumudibikash Goswami

Model calculations that include the effects of irreversible, environmental couplings on top of a coupled-channels dynamical description of the collision of two complex nuclei are presented. The Liouville-von Neumann equation for the…

We study the quantum entropy of systems that are described by general non-Hermitian Hamiltonians, including those which can model the effects of sinks or sources. We generalize the von Neumann entropy to the non- Hermitian case and find…

量子物理 · 物理学 2016-03-18 Alessandro Sergi , Konstantin G. Zloshchastiev

We present a new complete set of states for a class of open quantum systems, to be used in expansion of the Green's function and the time-evolution operator. A remarkable feature of the complete set is that it observes time-reversal…

量子物理 · 物理学 2014-12-25 Naomichi Hatano , Gonzalo Ordonez

The irreversibility in a statistical system is traced to its probabilistic evolution, and the molecular chaos assumption is not its unique consequence as is commonly believed. Under the assumption that the rate of change of the each…

统计力学 · 物理学 2008-03-10 P. D. Gujrati

We consider two approaches to study non-reversible Markov processes, namely the Hypocoercivity Theory (HT) and GENERIC (General Equations for Non-Equilibrium Reversible-Irreversible Coupling); the basic idea behind both of them is to split…

概率论 · 数学 2023-01-25 Manh Hong Duong , Michela Ottobre

Nonequilibrium statistical physics is concerned with a fundamental problem in physics, the phenomenon of irreversibility, which is not rigorously solved yet. Different approaches to the statistical mechanics of nonequilibrium processes are…

统计力学 · 物理学 2019-05-07 G. Röpke

Recently a number of approaches has been developed to connect the microscopic dynamics of particle systems to the macroscopic properties of systems in nonequilibrium stationary states, via the theory of dynamical systems. This way a direct…

统计力学 · 物理学 2009-10-31 L. Rondoni , E. G. D. Cohen

The irreversible currents and entropy production rate of a dilute colloidal suspension are calculated using the linear irreversible thermodynamics and the linear response theory. The \anomalous" or \hidden" entropy recently discussed in the…

统计力学 · 物理学 2018-08-24 Kunimasa Miyazaki , Yohei Nakayama , Hiromichi Matsuyama

The transition probability for time-dependent unitary evolution is invariant under the reversal of protocols just as in the classical Liouvillian dynamics. In this article, we generalize the expression of microscopic reversibility to…

统计力学 · 物理学 2015-05-28 Takaaki Monnai

We introduce a novel semiclassical approach to the Lipkin model. In this way the well-known phase transition arising at the critical value of the coupling is intuitively understood. New results -- showing for strong couplings the existence…

量子物理 · 物理学 2009-11-11 F Leyvraz , WD Heiss

Learning systems acquire structured internal representations from data, yet classical information-theoretic results state that deterministic transformations do not increase information. This raises a fundamental question: how can learning…

机器学习 · 计算机科学 2026-01-29 Daisuke Okanohara

This work is concerned with model reduction of stochastic differential equations and builds on the idea of replacing drift and noise coefficients of preselected relevant, e.g. slow variables by their conditional expectations. We extend…

偏微分方程分析 · 数学 2020-03-05 Carsten Hartmann , Lara Neureither , Upanshu Sharma

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

统计力学 · 物理学 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

We find a new effect for the behaviour of Von Neumann entropy. For this we derive the framework for describing Von Neumann entropy in non-Hermitian quantum systems and then apply it to a simple interacting PT symmetric bosonic system. We…

量子物理 · 物理学 2019-08-01 Andreas Fring , Thomas Frith

Many non-equilibrium, active processes are observed at a coarse-grained level, where different microscopic configurations are projected onto the same observable state. Such "lumped" observables display memory, and in many cases the…

统计力学 · 物理学 2024-04-29 Kristian Blom , Kevin Song , Etienne Vouga , Aljaž Godec , Dmitrii E. Makarov

One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary time evolution. General equilibration results show that…

量子物理 · 物理学 2020-02-18 Henrik Wilming , Marcel Goihl , Ingo Roth , Jens Eisert

We consider Hamiltonian quantum systems with energy bandwidth \Delta E and show that each measurement that determines the time up to an error \Delta t generates at least the entropy (\hbar/(\Delta t \Delta E))^2/2. Our result describes…

量子物理 · 物理学 2007-05-23 Dominik Janzing , Thomas Beth

We study quantum conditional entropy production, which quantifies the irreversibility of system-environment evolution from the perspective of a third system, called the reference. The reference is initially correlated with the system. We…

量子物理 · 物理学 2022-08-01 Kun Zhang , Xuanhua Wang , Qian Zeng , Jin Wang