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Although a number of measures for quantum non-Markovianity have been proposed recently, it is still an open question whether these measures directly characterize the memory effect of the environment, i.e., the dependence of a quantum state…

Quantum Physics · Physics 2015-01-28 S. C. Hou , S. L. Liang , X. X. Yi

We study the decoherence properties of an entangled bipartite qubit system, represented by two two-level atoms that are individually coupled to non-Markovian reservoirs. This coupling ensures that the dynamical equations of the atoms can be…

Quantum Physics · Physics 2007-05-23 Ian Glendinning , Matthias Jakob , Michael Noelle

Employing a recently developed approach to dynamically emergent quantum thermodynamics, we revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is…

Quantum Physics · Physics 2024-03-11 Irene Ada Picatoste , Alessandra Colla , Heinz-Peter Breuer

We consider a fermionic quantum system exchanging particles with an environment at a fixed temperature and study its reduced evolution by means of a Redfield-I equation with time-dependent (non-Markovian) coefficients. We find that the…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Lukas Litzba , Eric Kleinherbers , Jürgen König , Ralf Schützhold , Nikodem Szpak

We study the dynamics of an open quantum system interacting with a non-thermal bath. Here, "non-thermal" means that the bath modes do not need to have the same temperature, but they have an effective temperature distribution. We find that,…

Quantum Physics · Physics 2016-04-12 Sheng-Wen Li , Moochan B. Kim , Marlan O. Scully

The Lindblad (GKLS) master equation, which represents the mathematical form for the general evolution of a density matrix, is a versatile and widely-used tool in open quantum systems. In contrast with the typical approach of imposing…

Quantum Physics · Physics 2026-04-17 Eugenia Pyurbeeva , Ronnie Kosloff

We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our…

Quantum Physics · Physics 2017-03-01 U. Alvarez-Rodriguez , R. Di Candia , J. Casanova , M. Sanz , E. Solano

We calculate in an exact way the conditional past-future correlation for the decay dynamics of a two-level system in a bosonic bath. Different measurement processes are considered. In contrast to quantum memory measures based solely on…

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

A relevant problem in the theory of open quantum systems is the lack of complete positivity of dynamical maps obtained after weak-coupling approximations, a famous example being the Redfield master equation. A number of approaches exist to…

Quantum Physics · Physics 2024-08-15 Antonio D'Abbruzzo , Donato Farina , Vittorio Giovannetti

We derive a Lindblad master equation that approximates the dynamics of a Lipkin-Meshkov-Glick (LMG) model weakly coupled to a bosonic bath. By studying the time evolution of operators under the adjoint master equation we prove that, for…

Quantum Physics · Physics 2019-08-19 Jan C. Louw , Johannes N. Kriel , Michael Kastner

We obtain new types of exponential decay laws for solutions of density-matrix master equations in the weak-coupling limit: after comparing with results already present in the literature and developing the necessary techniques, we study the…

Quantum Physics · Physics 2015-05-13 David Taj , Fausto Rossi

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

The urgent need for reliable simulation tools to match the extreme accuracy needed to control tailored quantum devices highlights the importance of understanding open quantum systems and their modeling. To this end, we compare here the…

The quantum master equation is an important tool in the study of quantum open systems. It is often derived under a set of approximations, chief among them the Born (factorization) and Markov (neglect of memory effects) approximations. In…

Quantum Physics · Physics 2017-12-11 Daniel Boyanovsky , David Jasnow

Quantum master equations are commonly used to model the dynamics of open quantum systems, but their accuracy is rarely compared with the analytical solution of exactly solvable models. In this work, we perform such a comparison for the…

Quantum Physics · Physics 2025-07-04 Zihan Xia , Juan Garcia-Nila , Daniel Lidar

Data of the numerical solution of the time-dependent Schr\"odinger equation of a system containing one spin-1/2 particle interacting with a bath of up to 32 spin-1/2 particles is used to construct a Markovian quantum master equation…

Computational Physics · Physics 2016-08-24 P. Zhao , H. De Raedt , S. Miyashita , F. Jin , K. Michielsen

We prove a generalization of the quantum Markovian equation for observables. In this generalized equation, we use superoperators that are fractional powers of completely dissipative superoperators. We prove that the suggested superoperators…

Quantum Physics · Physics 2015-03-09 Vasily E. Tarasov

We develop from first principles Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We derive two sets of equations in the adiabatic limit, one using…

Quantum Physics · Physics 2015-11-03 Tameem Albash , Sergio Boixo , Daniel A. Lidar , Paolo Zanardi

Models that provide experimentally testable violations of ordinary Quantum Mechanics have been recently proposed. These models are based on non-unitary time evolutions of density matrices that are generated by linear positive maps. We…

High Energy Physics - Theory · Physics 2009-10-30 F. Benatti , R. Floreanini