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Quantum master equations are widely used to describe the dynamics of open quantum systems. All these different master equations rely on specific approximations that may or may not be justified. Starting from a microscopic model, applying…

In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master…

Quantum Physics · Physics 2007-05-23 A. Isar , A. Sandulescu

We propose a simple, yet feasible, model for quantum transport of fermionic carriers across tight-binding chain connecting two reservoirs maintained at arbitrary temperatures and chemical potentials. The model allows for elementary…

Quantum Gases · Physics 2022-07-06 Dmitrii N. Maksimov , Andrey R. Kolovsky

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…

Quantum Gases · Physics 2019-01-10 Xiansong Xu , Juzar Thingna , Chu Guo , Dario Poletti

We construct model master equations for local quantum dissipation. The master equations are in the form of Lindblad generators, with imposed constraints that the dissipations be strictly linear (i.e. ohmic), isotropic and translationally…

Condensed Matter · Physics 2009-10-22 M. R. Gallis

An experimentally realizable model based on the interaction between an excited two-level atom and a radiation field inside two quantum electrodynamics cavities is proposed. It consists of sending an excited two-level atom through two serial…

Quantum Physics · Physics 2020-09-15 Khadija El Anouz , Abderrahim El Allati , Farhan Saif

We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called super bath, weakly coupled with the bath to provide it with thermostat, which has either the Lindblad or Redfield type. We…

Quantum Physics · Physics 2024-04-25 Chulan Kwon , Ju-Yeon Gyhm

We derive the quantum master equations for heavy quark systems in a high-temperature quark- gluon plasma in the Lindblad form. The master equations are derived in the influence functional formalism for open quantum systems in perturbation…

High Energy Physics - Phenomenology · Physics 2015-04-14 Yukinao Akamatsu

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

Despite recent advances in quantum sciences, a quantum master equation that accurately and simply characterizes open quantum dynamics across extremely long timescales and in dispersive environments is still needed. In this study, we…

Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

Quantum Physics · Physics 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot…

Quantum Physics · Physics 2024-07-30 Hans C. Fogedby

The quantum master equation obtained from two different thermodynamic arguments is seriously nonlinear. We argue that, for quantum systems, nonlinearity occurs naturally in the step from reversible to irreversible equations and we analyze…

Quantum Physics · Physics 2018-03-09 Hans Christian Öttinger

We consider the time evolution of a quantized field in backgrounds that violate the vacuum stability (particle-creating backgrounds). Our aim is to study the exact form of the final quantum state (the density operator at a final instant of…

High Energy Physics - Theory · Physics 2011-08-26 S. P. Gavrilov , D. M. Gitman , J. L. Tomazelli

The density matrix in the Lindblad form is used to describe the behavior of the Free-Electron Laser (FEL) operating in a quantum regime. The detrimental effects of the spontaneous emission on coherent FEL operation are taken into account.…

Accelerator Physics · Physics 2018-12-26 H. Fares , G. R. M. Robb , N. Piovella

We develop a systematic field-theoretical approach to open quantum systems based on condensed-matter many-body methods. The time evolution of the reduced density matrix for the open quantum system is determined by a transmission matrix.…

Quantum Physics · Physics 2022-08-09 Hans C. Fogedby

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

We investigate the dynamic evolution and thermodynamic process of a driven quantum system immersed in a finite-temperature heat bath. A Born-Markovian quantum master equation is formally derived for the time-dependent system with discrete…

Quantum Physics · Physics 2021-09-08 Dan Wang , Dazhi Xu

We are interested by the behaviour of a 1D single heavy particle, interacting with an environment made of very fast particles in a thermal state. Assuming that the interactions are instantaneous, we construct an appropriate quantum jump…

Mathematical Physics · Physics 2016-03-28 Christophe Gomez , Maxime Hauray

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

Statistical Mechanics · Physics 2014-06-03 Phil Attard