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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…

计算物理 · 物理学 2016-08-24 P. Zhao , H. De Raedt , S. Miyashita , F. Jin , K. Michielsen

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…

量子物理 · 物理学 2026-03-31 Kasra Asnaashari , Jeremy O. Richardson

We investigate the relation between non-Hermitian Hamiltonian and Lindblad dynamics in nonequilibrium open quantum systems. Non-Hermitian models can extend phase diagrams and enable sensing advantages, but such effects often rely on…

量子物理 · 物理学 2026-04-13 Grazia Di Bello , Fabrizio Pavan , Vittorio Cataudella , Donato Farina

The effective dynamics of a system interacting with a bath or environment is presented in two ways, (1) the (LGKS) replacement of the von Neuman equation for the density matrix and (2) the Feynman-Vernon path-integral derivation, by…

量子物理 · 物理学 2023-12-29 Jose A. Magpantay

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

核理论 · 物理学 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

Quantum master equations form an important tool in the description of transport problems in open quantum systems. However, they suffer from the difficulty that the shape of the Lindblad dissipator depends sensibly on the system Hamiltonian.…

统计力学 · 物理学 2017-02-01 Jader P. Santos , Gabriel T. Landi

In this paper we demonstrate that Lindblad equations characterized by a random rate variable arise after tracing out a complex structured reservoir. Our results follows from a generalization of the Born-Markov approximation, which relies in…

量子物理 · 物理学 2009-11-11 Adrian A. Budini

We derive an extension to the quantum regression theorem which facilitates the calculation of two-time correlation functions and emission spectra for systems undergoing non-Markovian evolution. The derivation exploits projection operator…

量子物理 · 物理学 2016-05-04 Dara P. S. McCutcheon

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

量子物理 · 物理学 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

The majority of quantum open system models in the literature are simplistic in the sense that they only explicitly account for that part of the environment that directly interacts with the system of interest. A quantum open system with an…

量子物理 · 物理学 2007-05-23 Michael R. Gallis

We compare two approaches to open quantum systems, namely, the non-Hermitian dynamics and the Lindblad master equation. In order to deal with more general dissipative phenomena, we propose the unified master equation that combines the…

量子物理 · 物理学 2014-09-10 Konstantin G. Zloshchastiev , Alessandro Sergi

In this paper we derive an extra class of non-Markovian master equations where the system state is written as a sum of auxiliary matrixes whose evolution involve Lindblad contributions with local coupling between all of them, resembling the…

量子物理 · 物理学 2007-05-23 Adrian A. Budini

Despite recent advances in quantum sciences, a quantum master equation that accurately and simply characterizes open quantum dynamics across extremely long timescales and in dispersive environments is still needed. In this study, we…

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…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the…

量子物理 · 物理学 2018-01-17 Yu Cao , Jianfeng Lu

We develop an exact framework to describe the non-Markovian dynamics of an open quantum system interacting with an environment modeled by a generalized spectral density function. The approach relies on mapping the initial system onto an…

量子物理 · 物理学 2020-10-22 Graeme Pleasance , Barry M. Garraway , Francesco Petruccione

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…

量子气体 · 物理学 2020-10-28 Etienne Wamba , Axel Pelster

We present a new, computationally inexpensive method for the calculation of reduced density matrix dynamics for systems with a potentially large number of subsystem degrees of freedom coupled to a generic bath. The approach consists of…

化学物理 · 物理学 2015-12-09 Andrés Montoya-Castillo , Timothy C. Berkelbach , David R. Reichman

The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic…

量子物理 · 物理学 2025-04-04 Sayak Adhikari , Roi Baer

A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics that can be described by the Lindblad master equation in Liouville density operator space. The method extends the Hilbert space…

量子物理 · 物理学 2021-02-03 Alexander Karabanov , Walter Köckenberger