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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…

Statistical Mechanics · Physics 2018-10-31 Yuto Ashida , Keiji Saito , Masahito Ueda

In a recent work, we have derived simple Lindblad-based equations for the thermalization of systems in contact with a thermal reservoir. Here, we apply these equations to the Lipkin-Meshkov-Glick model (LMG) in contact with a blackbody…

Quantum Physics · Physics 2017-04-12 Tommaso Macrì , Massimo Ostilli , Carlo Presilla

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target…

Quantum Physics · Physics 2019-12-20 Onat Arısoy , Steve Campbell , Özgür E. Müstecaplıoğlu

We study thermalization in open quantum systems using the Lindblad formalism. A method that both thermalizes and couples to Lindblad operators only at edges of the system is introduced. Our method leads to a Gibbs state of the system,…

Statistical Mechanics · Physics 2018-04-11 Israel Reichental , Anat Klempner , Yariv Kafri , Daniel Podolsky

We present an alternative form of master equation, applicable on the analysis of non-equilibrium dynamics of fermionic open quantum systems. The formalism considers a general scenario, composed by a multipartite quantum system in contact…

Quantum Physics · Physics 2017-11-15 Fabrício M. Souza , L. Sanz

Despite significant theoretical efforts devoted to studying the interaction between quantized light modes and matter, the so-called ultra-strong coupling regime still presents significant challenges for theoretical treatments and prevents…

Quantum Physics · Physics 2024-03-22 Maksim Lednev , Francisco J. García-Vidal , Johannes Feist

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

Statistical Mechanics · Physics 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the…

Quantum Physics · Physics 2024-04-22 Tanmay Saha , Pratik Ghosal , Pratapaditya Bej , Abhishek Banerjee , Prasenjit Deb

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

We study the thermalization of an elementary quantum system modeled by a two-level atom interacting with stationary electromagnetic fields out of thermal equilibrium near a dielectric slab. The slab is held at a temperature different from…

Quantum Physics · Physics 2016-01-20 Puxun Wu , Hongwei Yu

The issue of thermalization in open quantum systems is explored from the perspective of fermion models with quadratic couplings and linear baths. Both the thermodynamic state and the stationary solution of the Lindblad equation are rendered…

Quantum Physics · Physics 2023-10-16 Jose Reslen

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

Quantum Physics · Physics 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

We construct and solve a "minimal model" with which nonequilibrium phenomena in many-body open quantum systems can be studied analytically under time-dependent parameter changes in the system and/or the bath. Coupling a suitable…

Quantum Physics · Physics 2025-07-28 Emma C. King , Michael Kastner , Johannes N. Kriel

Many physical phenomena, including thermalization in open quantum systems and quantum Gibbs sampling, are modeled by Lindbladians approximating a system weakly coupled to a bath. Understanding the convergence speed of these Lindbladians to…

We propose a route towards engineering non-thermal states of matter, which show largely unexplored physics. The main idea relies on the adiabatic passage of a thermal ensemble under slow variations of the system Hamiltonian. If the…

Statistical Mechanics · Physics 2017-07-19 D. M. Kennes

One explanation of the thermalization of an isolated quantum system is the eigenstate thermalization hypothesis, which posits that all energy eigenstates are thermal. Based on this idea, we use dynamical typicality to predict the thermal…

We develop a rigorous system-agnostic method to predict quantum thermalization in an overwhelming fraction of accessible pure states in a many-body system, entirely in terms of certain out-of-time-ordered correlators of few-body…

Quantum Physics · Physics 2026-04-06 Amit Vikram

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

Quantum thermalization occurs in a broad class of systems from elementary particles to complex materials. Out-of-equilibrium quantum systems have long been understood to either thermalize or retain memory of their initial states, but not…

Quantum Physics · Physics 2025-02-20 Luheng Zhao , Prithvi Raj Datla , Weikun Tian , Mohammad Mujahid Aliyu , Huanqian Loh

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

Quantum Physics · Physics 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza
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