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This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

统计力学 · 物理学 2014-07-29 Jiří Pešek

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics…

统计力学 · 物理学 2023-06-27 Miguel Aguilera , Masanao Igarashi , Hideaki Shimazaki

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

统计力学 · 物理学 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

Quantum steering is a kind of quantum correlations stronger than entanglement but weaker than Bell-nonlocality. In an optomechanical system pumped by squeezed light and driven in the red sideband, we study-under thermal effects-stationary…

量子物理 · 物理学 2018-10-16 Jamal El Qars , Mohammed Daoud , Rachid Ahl Laamara

We study a system of two non-interacting quantum wires with fermions of opposite chirality with a point contact junction at the origin across which tunneling can take place when an arbitrary time-dependent bias between the wires is applied.…

介观与纳米尺度物理 · 物理学 2022-02-02 Nikhil Danny Babu , Girish S. Setlur

In standard thermodynamics, internal energy is a state function, independent of process rates. We show that this structure breaks down in open quantum systems undergoing thermalization. Within Gorini-Kossakowski-Lindblad-Sudarshan (GKLS)…

统计力学 · 物理学 2026-05-12 Hyeong-Chan Kim , Youngone Lee

We study the autocorrelation function of different types of eigenfunctions in quantum mechanical systems with either chaotic or mixed classical limits. We obtain an expansion of the autocorrelation function in terms of the correlation…

混沌动力学 · 物理学 2009-11-07 Arnd Bäcker , Roman Schubert

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

统计力学 · 物理学 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

Time-dependent density matrix renormalization group method with a matrix product ansatz is employed for explicit computation of non-equilibrium steady state density operators of several integrable and non-integrable quantum spin chains,…

量子物理 · 物理学 2012-03-06 Tomaz Prosen , Marko Znidaric

We introduce a nonequilibrium phenomenon, reminiscent of Anderson's orthogonality catastrophe (OC), that arises in the transient dynamics following an interaction quench between a quantum system and a localized defect. Even if the system…

量子物理 · 物理学 2026-04-20 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

We present new nonlinear differential equations for spacetime correlation functions of Fermi gas in one spatial dimension. The correlation functions we consider describe non-stationary processes out of equilibrium. The equations we obtain…

介观与纳米尺度物理 · 物理学 2009-11-13 E. Bettelheim , A. G. Abanov , P. Wiegmann

We present a derivation of a recently proposed theory for the time dependence of density fluctuations in stationary states of strongly interacting, athermal, self-propelled particles. The derivation consists of two steps. First, we start…

软凝聚态物质 · 物理学 2016-01-13 Grzegorz Szamel

Recent experimental advances in ultrafast phenomena have triggered renewed interest in the dynamics of correlated quantum systems away from equilibrium. We review nonequilibrium dynamical mean-field theory studies of both the transient and…

强关联电子 · 物理学 2020-05-25 Herbert F. Fotso , James K. Freericks

We present a technique for calculating non-equilibrium Green functions for impurity systems with local interactions. We use an analogy to the calculation of response functions in the x-ray problem.The initial state and the final state…

强关联电子 · 物理学 2009-10-30 T. A. Costi

In this article, we present a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory by considering an ensemble of interacting identical bosons or fermions as an example. Readers are…

统计力学 · 物理学 2014-11-20 Takafumi Kita

Stochastic processes with temporal delay play an important role in science and engineering whenever finite speeds of signal transmission and processing occur. However, an exact mathematical analysis of their dynamics and thermodynamics is…

统计力学 · 物理学 2022-03-02 Viktor Holubec , Artem Ryabov , Sarah A. M. Loos , Klaus Kroy

Conformal symmetry heavily constrains the dynamics of non-relativistic quantum gases tuned to a nearby quantum critical point. One important consequence of this symmetry is that entropy production can be absent in far away from equilibrium…

量子气体 · 物理学 2024-04-25 Jeff Maki , Fei Zhou

We investigate how to minimize the work dissipated during nonequilibrium processes. To this end, we employ methods from linear response theory to describe slowly varying processes, i.e., processes operating within the linear regime around…

统计力学 · 物理学 2014-07-03 Marcus V. S. Bonança , Sebastian Deffner

We investigate the Kondo model with time-dependent couplings that are periodically switched on and off. On the Toulouse line we derive exact analytical results for the spin dynamics in the steady state that builds up after an infinite…

强关联电子 · 物理学 2010-05-27 Markus Heyl , Stefan Kehrein

We define thermodynamic configurations and identify two primitives of discrete quantum processes between configurations for which heat and work can be defined in a natural way. This allows us to uncover a general second law for any discrete…

量子物理 · 物理学 2015-06-12 Janet Anders , Vittorio Giovannetti