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Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that…

量子物理 · 物理学 2024-03-25 A. P. Babu , S. Alipour , A. T. Rezakhani , T. Ala-Nissila

Exotic stochastic processes are shown to emerge in the quantum evolution of complex systems. Using influence function techniques, we consider the dynamics of a system coupled to a chaotic subsystem described through random matrix theory. We…

chao-dyn · 物理学 2009-10-31 Dimitri Kusnezov , Aurel Bulgac , Giu Do Dang

We derive the general form of a master equation describing the interaction of an arbitrary multipartite quantum system, consisting of a set of subsystems, with an environment, consisting of a large number of sub-envirobments. Each subsystem…

量子物理 · 物理学 2015-05-28 Vittorio Giovannetti , G. Massimo Palma

We show that the dynamics of a driven quantum system weakly coupled to a finite reservoir can be approximated by a sequence of Landau-Zener transitions if the level spacing of the reservoir is large enough. This approximation can be…

统计力学 · 物理学 2019-05-01 Juzar Thingna , Massimiliano Esposito , Felipe Barra

We consider a frictionless system coupled to an external Markovian environment. The quantum and classical evolution of such systems are described by the Lindblad and the Fokker-Planck equation respectively. We show that when such a system…

数学物理 · 物理学 2025-06-03 Zhenhao Li

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

量子物理 · 物理学 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

Open quantum systems provide an essential theoretical basis for the development of novel quantum technologies, since any real quantum system inevitably interacts with its environment. Lindblad master equations capture the effect of…

量子物理 · 物理学 2022-12-14 Gary Schmiedinghoff , Götz S. Uhrig

We develop an extension of the Monte Carlo wave function approach that unambiguously identifies dynamical entanglement in general composite, open systems. Our algorithm performs tangential projections onto the set of separable states,…

量子物理 · 物理学 2026-01-21 Laura Ares , Julien Pinske , Benjamin Hinrichs , Martin Kolb , Jan Sperling

Open quantum systems can be described by unraveling Lindblad master equations into ensembles of quantum trajectories. Here we investigate how the complexity of such trajectories is affected by conservation laws and other dynamical…

量子物理 · 物理学 2026-05-22 Luca Lumia , Emanuele Tirrito , Mario Collura , Fabian H. L. Essler , Rosario Fazio

We study nonequilibrium cascades in which fragile bound or coherent structures are formed through intermediate states rather than by direct equilibration. Motivated by light-nuclei production in relativistic heavy-ion collisions and by…

高能物理 - 唯象学 · 物理学 2026-02-05 Takeshi Fukuyama

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

量子物理 · 物理学 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

Large dynamical fluctuations - atypical realizations of the dynamics sustained over long periods of time - can play a fundamental role in determining the properties of collective behavior of both classical and quantum non-equilibrium…

统计力学 · 物理学 2018-07-18 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

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…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

It is shown that the Lindblad equation accounts for memory effects. That is to say, Lindblad operators can be constructed in a natural manner such that a memory term appears in the asymptotic (infinite time) region; at the same time the…

数学物理 · 物理学 2007-05-23 Klaus Dietz

It is shown that due to memory effects the complex behaviour of components in a stochastic system can be transmitted to macroscopic evolution of the system as a whole. Within the Markov approximation widely using in ordinary statistical…

adap-org · 物理学 2009-10-30 A. A. Stanislavsky

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…

量子物理 · 物理学 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

We propose a method to exactly generate bridge run-and-tumble trajectories that are constrained to start at the origin with a given velocity and to return to the origin after a fixed time with another given velocity. The method extends the…

统计力学 · 物理学 2021-09-22 Benjamin De Bruyne , Satya N. Majumdar , Gregory Schehr

We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is…

量子物理 · 物理学 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

We prove a stochastic averaging theorem for stochastic differential equations in which the slow and the fast variables interact. The approximate Markov fast motion is a family of Markov process with generator ${\mathcal L}_x$ for which we…

概率论 · 数学 2019-02-19 Xue-Mei Li

In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe…

信息论 · 计算机科学 2017-08-22 John C. Baez , Blake S. Pollard