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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

Understanding quantum thermalization through entanglement build-up in isolated quantum systems addresses fundamental questions on how unitary dynamics connects to statistical physics. Here, we study the spin dynamics and approach towards…

We consider the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus (harmonic oscillator) which in turn is coupled to a bath of harmonic oscillators. Exact solutions of the Markovian Master equation show that the…

Quantum Physics · Physics 2009-10-31 Anu Venugopalan

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in…

Quantum Physics · Physics 2024-10-29 Yuri Ozhigov , You Jiangchuan

The second law of thermodynamics sets a lower bound on the work required to drive a system between thermal equilibrium states, with equality attained in the quasistatic limit. For finite-time processes, part of the extractable work is…

Quantum Physics · Physics 2025-11-20 Masaaki Tokieda

An original method to exactly solve the non-Markovian Master Equation describing the interaction of a single harmonic oscillator with a quantum environment in the weak coupling limit is reported. By using a superoperatorial approach we…

Quantum Physics · Physics 2009-11-07 F. Intravaia , S. Maniscalco , A. Messina

We study the performance of quantum thermal machines in which the working fluid of the model is represented by a many-body quantum system that is periodically connected with external baths via local couplings. A formal characterization of…

Quantum Physics · Physics 2025-05-21 Edoardo Maria Centamori , Michele Campisi , Vittorio Giovannetti

We consider the reduced dynamics in a bipartite quantum system (consisting of a central system and an intermediate environment) coupled to a heat bath at finite temperature. To describe this situation, in the simplest possible -- yet…

Quantum Physics · Physics 2018-08-08 Alexander Ramírez Bolaños , Héctor J. G. Moreno Carrión , Thomas Gorin

We derive the stochastic equations and consider the non-Markovian dynamics of a system of multiple two-level atoms in a common quantum field. We make only the dipole approximation for the atoms and assume weak atom-field interactions. From…

Quantum Physics · Physics 2015-03-17 C. H. Fleming , N. I. Cummings , Charis Anastopoulos , B. L. Hu

The quantum master equation obtained by generalizing the geometric formulation of nonequilibrium thermodynamics to dissipative quantum systems is seriously nonlinear. We argue that nonlinearity occurs naturally in the step from reversible…

Quantum Physics · Physics 2010-03-01 Hans Christian Öttinger

A recently developed approach to the thermodynamics of open quantum systems, on the basis of the principle of minimal dissipation, is applied to the spin-boson model. Employing a numerically exact quantum dynamical treatment based on the…

Quantum Physics · Physics 2024-08-30 Salvatore Gatto , Alessandra Colla , Heinz-Peter Breuer , Michael Thoss

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 derive a Markovian master equation for a linearly driven dissipative quantum harmonic oscillator, valid for generic driving beyond the adiabatic limit. We solve this quantum master equation for arbitrary Gaussian initial states and…

Quantum Physics · Physics 2025-03-24 Sinan Altinisik , Eric Lutz

The non-Hermitian skin effect (NHSE), the accumulation of eigen wavefunctions at boundaries of open systems, underlies a variety of exotic properties that defy conventional wisdom. While NHSE and its intriguing impact on band topology and…

Quantum Gases · Physics 2022-08-16 Qian Liang , Dizhou Xie , Zhaoli Dong , Haowei Li , Hang Li , Bryce Gadway , Wei Yi , Bo Yan

We investigate the sensing performance of a single-qubit quantum thermometer within a non-Markovian dynamical framework. By employing an exactly numerical hierarchical equations of the motion method, we go beyond traditional paradigms of…

Quantum Physics · Physics 2021-10-18 Ze-Zhou Zhang , Wei Wu

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

Quantum Physics · Physics 2014-11-24 Vitalii Semin , Francesco Petruccione

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

Quantum Physics · Physics 2021-04-07 Roie Dann , Ronnie Kosloff

Redfield master equation was applied to study the dynamics of an ensemble of interacting pairs of unlike spins at room temperature. This spin quantum system is a workbench quantum model to analyze the relaxation dynamics of a heteronuclear…

Quantum Physics · Physics 2024-08-20 A. Consuelo-Leal , Hugo D. Fernández Sare , R. Auccaise

The canonically consistent quantum master equation (CCQME) method to treat system-bath dynamics is used to describe intramolecular proton transfer in the thioacetylacetone molecule (TAA, C$_4$H$_6$OS), modeled as an $N$-level quantum system…

Quantum Physics · Physics 2026-03-24 Zahra Sartipi , Richard Gundermann , Janet Anders , Peter Saalfrank
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