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Related papers: An introduction to Markovian open quantum systems

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We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect…

Quantum Physics · Physics 2022-12-21 Alessandra Colla , Niklas Neubrand , Heinz-Peter Breuer

Stochastic unravelings provide a useful way to represent open quantum system dynamics in terms of pure state realizations, and have been widely studied both from a fundamental and from a computational point of view. They were initially…

Quantum Physics · Physics 2026-05-11 Federico Settimo , Jyrki Piilo

We propose a complete treatment of a local in time dynamics of open quantum systems. In this approach Markovian evolution turns out to be a special case of a general non-Markovian one. We provide a general representation of the local…

Quantum Physics · Physics 2010-06-15 Dariusz Chruscinski , Andrzej Kossakowski

The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototype/surrogate models with the aim of tackling specific…

Quantum Physics · Physics 2026-04-07 Benedikt M. Reible , Somayeh Ahmadkhani , Luigi Delle Site

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

We propose a method which combines the quantum-classical mapping approach to surface hopping (MASH) with the dissipative quantum dynamics of the Lindblad master equation. Like conventional surface-hopping methods, our approach is based on…

Quantum Physics · Physics 2026-03-31 Kasra Asnaashari , Jeremy O. Richardson

We characterize the dynamical behavior of continuous-time, Markovian quantum systems with respect to a subsystem of interest. Markovian dynamics describes a wide class of open quantum systems of relevance to quantum information processing,…

Quantum Physics · Physics 2010-12-08 Francesco Ticozzi , Lorenza Viola

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

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

Embedding non-Markovian open quantum dynamics into an enlarged Markovian space offers a powerful route to nonperturbative simulations, where the dynamics of the extended space can be governed by multiple distinct Markovian equations. We…

Quantum Physics · Physics 2026-02-26 Meng Xu , J. T. Stockburger , J. Ankerhold

The study of the physical properties of open quantum systems is at the heart of many present investigations which aim to describe their dynamical evolution, on theoretical ground and through physical realizations. Here we develop a…

Quantum Physics · Physics 2021-11-23 Tarek Khalil , Jean Richert

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a…

Quantum Physics · Physics 2024-12-03 Mariia Ivanchenkoa , Peter L. Walters , Fei Wang

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

Statistical Mechanics · Physics 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

We examine the effectiveness of Lindblad master equation in capturing the short-time dynamics of entanglement and purity in open quantum systems. Focusing on two interacting two-level systems interacting with a larger environment, we…

We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations…

Quantum Physics · Physics 2012-02-06 C. H. Fleming , B. L. Hu

Goran Lindblad was one of the pioneers of what is called now Quantum Thermodynamics. From this vast and rapidly developing field we have selected a sample of results concerning quantum open systems described by Markovian Master Equations of…

Quantum Physics · Physics 2023-09-26 Robert Alicki

We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The…

Quantum Physics · Physics 2008-05-23 Cesar A. Rodriguez-Rosario , E. C. G. Sudarshan

The Markovian dynamics of open quantum systems is typically described through Lindblad equations, which are derived from the Redfield equation via the full secular approximation. The latter neglects the rotating terms in the master equation…

Quantum Physics · Physics 2025-12-01 Antti Vaaranta , Marco Cattaneo

We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments - one a continuous bosonic environment leading to a unitary system-environment evolution…

Quantum Physics · Physics 2018-01-24 Dario Tamascelli , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the…

Quantum Physics · Physics 2011-01-25 Chengjun Wu , Yang Li , Mingyi Zhu , Hong Guo