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For open quantum systems coupled to a thermal bath at inverse temperature $\beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath…

Quantum Physics · Physics 2011-03-15 Gernot Schaller

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…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

Starting from a microscopic description of weak system-bath interactions, we derive from first principles a quantum master equation that does not rely on the well-known rotating wave approximation. This includes generic many-body systems,…

Quantum Physics · Physics 2026-03-11 Matteo Scandi , Álvaro M. Alhambra

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…

Quantum Physics · Physics 2026-05-18 Hongrui Chen , Zhiyan Ding , Ruizhe Zhang

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

Quantum Physics · Physics 2015-08-26 Johan F. Triana

Quantum detailed balance conditions and quantum fluctuation relations are two important concepts in the dynamics of open quantum systems: both concern how such systems behave when they thermalize because of interaction with an environment.…

Quantum Physics · Physics 2018-11-14 M. Ramezani , F. Benatti , R. Floreanini , S. Marcantoni , M. Golshani , A. T. Rezakhani

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…

Quantum Physics · Physics 2018-05-09 Hyosub Kim , Yeje Park , Kyungtae Kim , H. -S. Sim , Jaewook Ahn

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 investigate steady states of macroscopic quantum systems under dissipation not obeying the detailed balance condition. We argue that the Gibbs state at an effective temperature gives a good description of the steady state provided that…

Statistical Mechanics · Physics 2020-04-17 Tatsuhiko Shirai , Takashi Mori

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the stationary state is non-Gibbsian due to an…

Statistical Mechanics · Physics 2007-05-23 Th. M. Nieuwenhuizen , A. E. Allahverdyan

The principle of detailed balance is at the basis of equilibrium physics and is equivalent to the Kubo-Martin-Schwinger (KMS) condition (under quite general assumptions). In the present paper we prove that a large class of open quantum…

Quantum Physics · Physics 2007-05-23 Luigi Accardi , Kentaro Imafuku

Markovian master equations (formally known as quantum dynamical semigroups) can be used to describe the evolution of a quantum state $\rho$ when in contact with a memoryless thermal bath. This approach has had much success in describing the…

Quantum Physics · Physics 2017-08-18 Álvaro M. Alhambra , Mischa P. Woods

A large class of isolated quantum system in a pure state can equilibrate and serve as a heat bath. We show that once the equilibrium is reached, any of its subsystems that is much smaller than the isolated system is thermalized such that…

Statistical Mechanics · Physics 2014-06-13 Quntao Zhuang , Biao Wu

Starting from a microscopic system-baths description, we derive the general conditions for a time-local quantum master equation (QME) to satisfy the first and second law of thermodynamics at the fluctuating level. Using counting statistics,…

Quantum Physics · Physics 2022-12-28 Ariane Soret , Vasco Cavina , Massimiliano Esposito

Statistical mechanics assumes that a quantum many-body system at low temperature can be effectively described by its Gibbs state. However, many complex quantum systems exist only as metastable states of dissipative open system dynamics,…

Quantum Physics · Physics 2025-10-10 Thiago Bergamaschi , Chi-Fang Chen , Umesh Vazirani

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

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…

Quantum Physics · Physics 2012-03-13 Arnau Riera , Christian Gogolin , Jens Eisert

We propose a new approach to detailed balance violation in electrical circuits by relying on the scattering matrix formalism commonly used in microwave electronics. This allows to include retardation effects which are paramount at high…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 Alexandre Dumont , Pierre Février , Christian Lupien , Bertrand Reulet

An open quantum system in contact with an infinite bath approaches equilibrium, while the state of the bath remains unchanged. If the bath is finite, the open system still relaxes to equilibrium, but it induces a dynamical evolution of the…

Quantum Physics · Physics 2022-05-20 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

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