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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

Depolarization of quantum fields is handled through a master equation of the Lindblad type. The specific feature of the proposed model is that it couples dispersively the field modes to a randomly distributed atomic reservoir, much in the…

Quantum Physics · Physics 2009-10-16 A. B. Klimov , J. L. Romero , L. L. Sanchez-Soto

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or…

We study the effect of coupling a spin bath environment to a system which, at low energies, can be modeled as a quantum Ising system. A field theoretic formalism incorporating both thermal and quantum fluctuations is developed to derive…

Strongly Correlated Electrons · Physics 2018-07-04 R. D. McKenzie , P. C. E Stamp

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an example we consider a one-dimensional quantum harmonic oscillator chain coupled to thermal…

Statistical Mechanics · Physics 2015-06-04 Bojan Žunkovič , Tomaž Prosen

Using Lindblad dynamics we study quantum spin systems with dissipative boundary dynamics that generate a stationary nonequilibrium state with a non-vanishing spin current that is locally conserved except at the boundaries. We demonstrate…

Strongly Correlated Electrons · Physics 2017-04-26 Vladislav Popkov , Gunter M. Schütz

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

We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad…

Statistical Mechanics · Physics 2007-05-23 Mathias Michel , Jochen Gemmer , Guenter Mahler

We study the dynamics of an initially thermalized spin chain in the quantum XY-model, after sudden coupling to a heat bath of lower temperature at one end of the chain. In the semi-classical limit we see an exponential decay of the…

Quantum Physics · Physics 2017-02-24 Pascal Fries , Haye Hinrichsen

It is very common in the literature to write down a Markovian quantum master equation in Lindblad form to describe a system with multiple degrees of freedom and weakly connected to multiple thermal baths which can, in general, be at…

Quantum Physics · Physics 2022-04-06 Devashish Tupkary , Abhishek Dhar , Manas Kulkarni , Archak Purkayastha

We propose a dissipative method for the preparation of many-body steady entangled states in spin and fermionic chains. The scheme is accomplished by means of an engineered set of Lindbladians acting over the eigenmodes of the system, whose…

Quantum Physics · Physics 2017-12-20 G. D. de Moraes Neto , V. F. Teizen , V. Montenegro , E. Vernek

This review presents recent developments in the study of inhomogeneous XX spin chains, highlighting results on perfect state transfer, out-of-equilibrium stationary dynamics in open systems, and entanglement and correlations in ground…

Quantum Physics · Physics 2025-08-07 Pierre-Antoine Bernard , Gilles Parez , Luc Vinet

The thermodynamic properties of Davydov-Scott monomer contacting with thermal bath is investigated using Lindblad open quantum system formalism. The Lindblad equation is investigated through path integral method. It is found that the…

Statistical Mechanics · Physics 2011-04-15 A. Sulaiman , F. P Zen , H. Alatas , L. T. Handoko

Theoretical and experimental studies of the interaction between spins and temperature are vital for the development of spin caloritronics, as they dictate the design of future devices. In this work, we propose a two-terminal cold-atom…

Quantum Gases · Physics 2021-12-09 R. E. Barfknecht , A. Foerster , N. T. Zinner , A. G. Volosniev

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target…

Quantum Physics · Physics 2019-12-20 Onat Arısoy , Steve Campbell , Özgür E. Müstecaplıoğlu

We consider the time development of the density matrix for a system coupled to a thermal bath, in models that go beyond the standard two-level systems through addition of an energy excitation degree of freedom and through the possibility of…

Quantum Physics · Physics 2016-09-08 N. F. Bell , R. F. Sawyer , R. R. Volkas

Event generating algorithm corresponding to a linear master equation of Lindblad's type is described and illustrated on two examples: that of a particle detector and of a fuzzy clock. Relation to other approaches to foundations of quantum…

Quantum Physics · Physics 2009-10-28 Ph. Blanchard , A. Jadczyk

The relaxation time of a classical spin interacting with a large conduction-electron system is computed for a weak magnetic field, which initially drives the spin out of equilibrium. We trace the spin and the conduction-electron dynamics on…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Michael Elbracht , Michael Potthoff

Algebraic methods for solving time dependent Hamiltonians are used to investigate the performance of quantum thermal machines. We investigate the thermodynamic properties of an engine formed by two coupled q-bits, performing an Otto cycle.…

Quantum Physics · Physics 2022-12-27 A. C. Duriez , D. Martínez-Tibaduiza , A. Z. Khoury
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