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A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on…

统计力学 · 物理学 2016-10-05 Jürgen T. Stockburger

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

强关联电子 · 物理学 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

量子物理 · 物理学 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

The dynamics of the spin-boson Hamiltonian is considered in the stochastic approximation. The Hamiltonian describes a two-level system coupled to an environment and is widely used in physics, chemistry and the theory of quantum measurement.…

量子物理 · 物理学 2016-09-08 L. Accardi , S. V. Kozyrev , I. V. Volovich

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{\"o}dinger equation. All memory effects of the reservoir are transformed into noise correlations and…

统计力学 · 物理学 2007-05-23 J. Stockburger , H. Grabert

We introduce an exact open system method to describe the dynamics of quantum systems that are strongly coupled to specific types of environments comprising of spins, such as central spin systems. Our theory is similar to the established…

量子物理 · 物理学 2023-09-06 Valentin Link , Kimmo Luoma , Walter T. Strunz

A stochastic system under the influence of a stochastic environment is correlated with both present and future states of the environment. Such a system can be seen as implicitly implementing a predictive model of future environmental…

统计力学 · 物理学 2018-10-05 Matthew E. Quenneville , David A. Sivak

We develop a systematic and efficient approach for numerically solving the non-Markovian quantum state diffusion equations for open quantum systems coupled to an environment up to arbitrary orders of noises or coupling strengths. As an…

量子物理 · 物理学 2014-08-29 Zeng-Zhao Li , Cho-Tung Yip , Hai-Yao Deng , Mi Chen , Ting Yu , J. Q. You , Chi-Hang Lam

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

量子物理 · 物理学 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

An approach, called discretized environment method, is introduced to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of…

量子物理 · 物理学 2015-06-22 Denis Lacroix , V. V. Sargsyan , G. G. Adamian , N. V. Antonenko

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

We discuss two methods of an exact stochastic representation of the non-Markovian quantum dynamics of open systems. The first method employs a pair of stochastic product vectors in the total system's state space, while the second method…

量子物理 · 物理学 2007-07-13 Heinz-Peter Breuer , Francesco Petruccione

Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases,…

量子物理 · 物理学 2023-03-01 Xiantao Li , Chunhao Wang

We outline a non-perturbative approach for simulating the behavior of open quantum systems interacting with a bosonic environment defined by a generalized spectral density function. The method is based on replacing the environment by a set…

量子物理 · 物理学 2021-08-13 Graeme Pleasance , Francesco Petruccione

Stochastic methods are ubiquitous to a variety of fields, ranging from Physics to Economy and Mathematics. In many cases, in the investigation of natural processes, stochasticity arises every time one considers the dynamics of a system in…

统计力学 · 物理学 2012-08-02 Robert Biele , Roberto D'Agosta

The exact stochastic decomposition of non-Markovian dissipative quantum dynamics is combined with the time-dependent semiclassical initial value formalism. It is shown that even in the challenging regime of moderate friction and low…

统计力学 · 物理学 2011-09-30 Werner Koch , Frank Großmann , Jürgen T. Stockburger , Joachim Ankerhold

We determine the total state dynamics of a dephasing open quantum system using the standard environment of harmonic oscillators. Of particular interest are random unitary approaches to the same reduced dynamics and system-environment…

量子物理 · 物理学 2015-06-04 Ansgar Pernice , Julius Helm , Walter T. Strunz

The developing field of stochastic thermodynamics extends concepts of macroscopic thermodynamics such as entropy production and work to the microscopic level of individual trajectories taken by a system through phase space. The scheme…

统计力学 · 物理学 2022-06-30 Cillian Cockrell , Ian J Ford

We present a nonlinear stochastic Schroedinger equation for pure states describing non-Markovian diffusion of quantum trajectories. It provides an unravelling of the evolution of a quantum system coupled to a finite or infinite number of…

量子物理 · 物理学 2009-10-31 L. Diosi , N. Gisin , W. T. Strunz

The discretization approximation method commonly used to simulate the dynamics of quantum system coupled to the environment in continuum often suffers from the periodically partial recovery of initial state because of the effect of finite…

量子物理 · 物理学 2025-05-07 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi
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