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Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly…

Quantum Physics · Physics 2025-06-27 Michael Gaida , Giulio Gasbarri , Stefan Nimmrichter

We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom interacting through collisions with a background ideal gas. When either…

Quantum Physics · Physics 2010-10-27 Andrea Smirne , Bassano Vacchini

We derive the general form of a master equation describing the interaction of an arbitrary multipartite quantum system, consisting of a set of subsystems, with an environment, consisting of a large number of sub-envirobments. Each subsystem…

Quantum Physics · Physics 2015-05-28 Vittorio Giovannetti , G. Massimo Palma

The propagation of a fast particle in a low-density gas at thermal equilibrium is studied in the context of quantum mechanics. A quantum master equation in the Redfield form governing the reduced density matrix of the particle is derived…

Quantum Physics · Physics 2022-12-20 David Gaspard

We derive a new perturbative quantum master equation for the reduced density matrix of a system interacting with an environment (with a dense spectrum of energy levels). The total system energy (system plus environment) is constant and…

Statistical Mechanics · Physics 2007-05-23 Massimiliano Esposito , Pierre Gaspard

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

Quantum Physics · Physics 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

A master equation with a Lindblad structure is derived, which describes the interaction of a test particle with a macroscopic system and is expressed in terms of the operator valued dynamic structure factor of the system. In the case of a…

Quantum Physics · Physics 2009-11-06 Bassano Vacchini

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

Quantum Physics · Physics 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

A quantum master equation (QME) is derived for the many-body density matrix of an open current-carrying system weakly coupled to two metal leads. The dynamics and the steady-state properties of the system for arbitrary bias are studied…

Statistical Mechanics · Physics 2016-08-31 Upendra Harbola , Massimiliano Esposito , Shaul Mukamel

We derive stochastic master equations for a quantum system interacting with a Bose field prepared in a superposition of continuous-mode coherent states. To determine a conditional evolution of the quantum system we use a collision model…

Quantum Physics · Physics 2020-02-11 Anita Dabrowska

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

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · Physics 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

We consider an open quantum many-particle system in which there are dissipative processes. The evolution of this system is described by a kinetic equation for the density matrix. From the equation describing a random Markov process in this…

General Physics · Physics 2013-02-25 Boris Bondarev

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

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

Statistical Mechanics · Physics 2009-11-10 M. Esposito , P. Gaspard

We study the dynamics of entanglement in spin gases. A spin gas consists of a (large) number of interacting particles whose random motion is described classically while their internal degrees of freedom are described quantum-mechanically.…

Quantum Physics · Physics 2007-05-23 J. Calsamiglia , L. Hartmann , W. Dür , H. -J. Briegel

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…

Quantum Physics · Physics 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

A Quantum Kinetic Master Equation (QKME) for bosonic atoms is formulated. It is a quantum stochastic equation for the kinetics of a dilute quantum Bose gas, and describes the behavior and formation of Bose condensation. The key assumption…

Quantum Physics · Physics 2009-10-30 C. W. Gardiner , P. Zoller
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