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We investigate quantum thermal state preparation algorithms based on system-bath interactions and uncover a surprising phenomenon in the weak-coupling regime. We rigorously prove that, if the system-bath interaction is engineered so that…

量子物理 · 物理学 2026-05-18 Hongrui Chen , Zhiyan Ding , Ruizhe Zhang

Dynamics of large complex systems, such as relaxation towards equilibrium in classical statistical mechanics, often obeys a master equation. The equation significantly simplifies the complexities but describes essential information of…

量子物理 · 物理学 2018-05-09 Hyosub Kim , Yeje Park , Kyungtae Kim , H. -S. Sim , Jaewook Ahn

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 consider the dynamics of a quantum system immersed in a dilute gas at thermodynamics equilibrium using a quantum Markovian master equation derived by applying the low-density limit technique. It is shown that the Gibbs state at the bath…

量子物理 · 物理学 2023-08-01 Robert Alicki , Milan Šindelka , David Gelbwaser-Klimovsky

Understanding and optimizing the relaxation dynamics of many-body systems is essential both for foundational studies in quantum thermodynamics and for applications such as quantum simulation and quantum computing. Efficient preparation of…

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 derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with…

量子物理 · 物理学 2026-05-14 Koki Shiraishi , Masaya Nakagawa , Takashi Mori

It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently introduced disispative evolution, inspired by existing models of…

量子物理 · 物理学 2026-02-11 Cambyse Rouzé , Daniel Stilck França , Álvaro M. Alhambra

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…

统计力学 · 物理学 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

量子物理 · 物理学 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

The Lindblad (GKLS) master equation, which represents the mathematical form for the general evolution of a density matrix, is a versatile and widely-used tool in open quantum systems. In contrast with the typical approach of imposing…

量子物理 · 物理学 2026-04-17 Eugenia Pyurbeeva , Ronnie Kosloff

We develop a Lindblad framework for quantum stochastic thermodynamics to study the nonequilibrium thermodynamics of open quantum systems. Our approach adopts the local quantum detailed balance condition, ensuring thermodynamic consistency…

量子物理 · 物理学 2025-02-28 Jin-Fu Chen

The Bloch equation that set the foundation for open quantum systems, was conceived by pure physical reasoning. Since then, the Lindblad (GKLS) form of a quantum master equation, its most general mathematical representation, became an…

量子物理 · 物理学 2025-05-20 Eugenia Pyurbeeva , Ronnie Kosloff

We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics. We cover topics such as equilibration and thermalisation in pure state…

量子物理 · 物理学 2018-06-14 C. Gogolin , J. Eisert

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many…

量子物理 · 物理学 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

In this work, we show how Gibbs or thermal states appear dynamically in closed quantum many-body systems, building on the program of dynamical typicality. We introduce a novel perturbation theorem for physically relevant weak system-bath…

量子物理 · 物理学 2012-03-13 Arnau Riera , Christian Gogolin , Jens Eisert

We develop a Markovian master equation in the Lindblad form that enables the efficient study of a wide range of open quantum many-body systems that would be inaccessible with existing methods. The validity of the master equation is based…

介观与纳米尺度物理 · 物理学 2020-09-08 Frederik Nathan , Mark S. Rudner

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided here in terms of time-dependent equilibrium (Gibbs)…

统计力学 · 物理学 2023-08-08 Berislav Buča

Many-body quantum systems present a rich phenomenology which can be significantly altered when they are in contact with an environment. In order to study such setups, a number of approximations are usually performed, either concerning the…

量子气体 · 物理学 2019-01-10 Xiansong Xu , Juzar Thingna , Chu Guo , Dario Poletti

This work makes progress on the issue of global vs. local master equations. Global master equations like the Redfield master equation (following from standard Born and Markov approximation) require a full diagonalization of the system…

量子物理 · 物理学 2025-07-30 Alexander Schnell
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