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The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to…

统计力学 · 物理学 2016-12-21 Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

We present an application of the Extended Stochastic Liouville-von Neumann equations (ESLN) method introduced earlier [PRB 95, 125124 (2017); PRB 97, 224310 (2018)] which describes the dynamics of an exactly thermalised open quantum system…

量子物理 · 物理学 2020-07-01 M. A. Lane , D. Matos , I. J. Ford , L. Kantorovich

We theoretically study the decoherence of a two-level quantum system coupled to noisy environments exhibiting linear and quadratic fluctuations within the framework of a stochastic Liouville equation. It is shown that the intrinsic energy…

量子物理 · 物理学 2024-07-26 Xiangji Cai , Yanyan Feng , Jing Ren , Yonggang Peng , Yujun Zheng

The stochastic Schr\"odinger equation (SSE) provides a trajectory-level route to simulate the dynamics of open quantum systems with applications ranging from molecular processes to quantum technologies. We study a colored-noise extension of…

量子物理 · 物理学 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

Based on recently derived exact stochastic Liouville-von Neumann equations, several strategies for the efficient simulation of open quantum systems are developed and tested on the spin-boson model. The accuracy and efficiency of these…

凝聚态物理 · 物理学 2007-05-23 J. T. Stockburger

The Stochastic Liouville-von Neumann equation provides an exact numerical simulation strategy for quantum systems interacting with Gaussian reservoirs [J.T. Stockburger & H. Grabert, PRL 88, 170407 (2002)]. Its scaling with the extension of…

统计力学 · 物理学 2019-09-04 Konstantin Schmitz , Jürgen T. Stockburger

We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment. The influence functional formalism combined with a two-time Hubbard-Stratonovich transformation allows us…

量子物理 · 物理学 2017-03-29 G. M. G. McCaul , C. D. Lorenz , L. Kantorovich

In real-world problems, environmental noise is often idealized as Gaussian white noise, despite potential temporal dependencies. The Linear Inverse Model (LIM) is a class of data-driven methods that extract dynamic and stochastic…

数值分析 · 数学 2025-05-01 Justin Lien , Yan-Ning Kuo , Hiroyasu Ando , Shoichiro Kido

The dissipation and decoherence (for example, the effects of noise in quantum computations), interaction with thermostat or in general with physical vacuum, measurement and many other complicated problems of open quantum systems are a…

数学物理 · 物理学 2007-05-23 Ashot S. Gevorkyan

Previous years researchers began to simulate open quantum system, taking into account the interaction between system and the environment. One approach to deal with this problem is to use the density matrix within the Liouville-von-Neumann…

量子物理 · 物理学 2025-09-15 Mohammad Attrash , Roi Baer

We derive a master equation from the exact stochastic Liouville von-Neumann (SLN) equation \cite{stockburger2002,wallsbook}. The latter depends on two correlated noises and describes exactly the dynamics of an oscillator (which can be…

量子物理 · 物理学 2015-04-14 Ines de Vega

A linear open quantum system consisting of a harmonic oscillator linearly coupled to an infinite set of independent harmonic oscillators is considered; these oscillators have a general spectral density function and are initially in a…

量子物理 · 物理学 2009-11-06 Esteban Calzetta , Albert Roura , Enric Verdaguer

We propose the generalized stochastic Liouville equation to investigate the coherent dynamics in single molecule systems coupled to environments which exhibit both nonstationary and non-Markovian features. The generalized stochastic…

量子物理 · 物理学 2020-04-14 Xiangji Cai , Yujun Zheng

The Brownian dynamics of the density operator for a quantum system interacting with a classical heat bath is described using a stochastic, non-linear Liouville equation obtained from a variational principle. The environment's degrees of…

量子物理 · 物理学 2015-06-26 M. Grigorescu

Stochastic evolution underpins several approaches to the dynamics of open quantum systems, such as random modulation of Hamiltonian parameters, the stochastic Schrodinger equation (SSE), and the stochastic Liouville equation (SLE). These…

量子物理 · 物理学 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

量子物理 · 物理学 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

We present a method, based on the Keldysh formalism, for deriving stochastic master equations that describe the non-Markovian dynamics of a quantum system coupled to a Gaussian environment. This approach yields a compact expression for the…

量子物理 · 物理学 2026-01-21 Vasco Cavina , Antonio D'Abbruzzo , Vittorio Giovannetti

We present a concise review and perspective on noise-induced synchronization and coherence protection in open quantum systems, with emphasis on recent work involving coupled spins, oscillators, and anyons. When local environments exhibit…

量子物理 · 物理学 2025-07-28 Eric R. Bittner , Bhavay Tyagi

A system under constant observation is practically freezed to the measurement subspace. If the system driving is a random classical field, the survival probability of the system in the subspace becomes a random variable described by the…

量子物理 · 物理学 2018-03-30 Matthias M. Müller , Stefano Gherardini , Filippo Caruso

We derive a family of Gaussian non-Markovian stochastic Schr\"odinger equations for the dynamics of open quantum systems. The different unravelings correspond to different choices of squeezed coherent states, reflecting different…

量子物理 · 物理学 2018-04-18 Nina Megier , Walter T. Strunz , Carlos Viviescas , Kimmo Luoma
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