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This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms…

Quantum Physics · Physics 2025-11-05 Shovan Dutta

Control of open quantum dynamics is of great interest for realizing quantum technologies. Therefore, it is an important task to quantify and characterize the entropy for open quantum systems under decoherence. In this paper, we study the…

Quantum Physics · Physics 2024-05-21 Kohei Kobayashi

We revise fundamental concepts in the dynamics of open quantum systems in the light of modern developments in the field. Our aim is to present a unified approach to the quantum evolution of open systems that incorporates the concepts and…

Quantum Physics · Physics 2013-07-29 Ángel Rivas , Susana F. Huelga

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

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

Quantum Physics · Physics 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

We apply the Liouville-von Neumann (LvN) approach to open systems to describe the nonequilibrium quantum evolution. The Liouville-von Neumann approach is a unified method that can be applied to both time-independent (closed) and…

Statistical Mechanics · Physics 2016-08-31 Sang Pyo Kim

The Lindblad equation is widely employed in studies of Markovian quantum open systems. Here, firstly, a simple result is presented on the time evolution of the non Neumann entropy under the Lindblad equation, which enables one to examine if…

Quantum Physics · Physics 2016-10-18 Congjie Ou , Ralph V. Chamberlin , Sumiyoshi Abe

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

Quantum Physics · Physics 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara

We formulate an exact spacetime mapping between the $\mathcal{N}$-point correlation functions of two different experiments with open quantum gases. Our formalism extends a quantum-field mapping result for closed systems [Phys. Rev. A…

Quantum Gases · Physics 2020-10-28 Etienne Wamba , Axel Pelster

The dynamics of a typical open quantum system, namely a quantum Brownian particle in a harmonic potential, is studied focussing on its non-Markovian regime. Both an analytic approach and a stochastic wave function approach are used to…

Quantum Physics · Physics 2009-11-10 S. Maniscalco , J. Piilo , F. Intravaia , F. Petruccione , A. Messina

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called quantum Markovian semi-group evolution,…

Quantum Physics · Physics 2014-10-07 Enej Ilievski

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

Non-Markovian reduced dynamics of an open system is investigated. In the case the initial state of the reservoir is the vacuum state, an approximation is introduced which makes possible to construct a reduced dynamics which is completely…

Quantum Physics · Physics 2017-08-23 Andrzej Kossakowski , Rolando Rebolledo

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

The theory of open quantum systems served as a tool to prepare entanglement at the beginning stage of quantum technology and more recently provides an important tool for state preparation. Dynamics given by time dependent Lindbladians are…

Quantum Physics · Physics 2026-02-20 Jihong Cai , Advith Govindarajan , Marius Junge

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

Quantum Physics · Physics 2008-09-01 Bassano Vacchini

We investigate the long-time behavior of quantum N-level systems that are coupled to a Markovian environment and subject to periodic driving. As our main result, we obtain a general algebraic condition ensuring that all solutions of a…

Quantum Physics · Physics 2020-01-08 Paul Menczel , Kay Brandner

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 illustrate the equivalence between the non-unitary evolution of an open quantum system governed by a Markovian master equation and a process of continuous measurements involving this system. We investigate a system of two coupled modes,…

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