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We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

量子物理 · 物理学 2009-10-30 Lajos Diosi , Walter T. Strunz

Here, we develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system. Particularly, two different types of interactions are investigated between the system and the bath: Heisenberg interaction with…

量子物理 · 物理学 2025-11-11 Devvrat Tiwari , Subhashish Banerjee

A general method is discussed to obtain Markovian master equations which describe the interaction with the environment in a microscopic and non-perturbative fashion. It is based on combining time-dependent scattering theory with the concept…

量子物理 · 物理学 2009-11-13 Klaus Hornberger

The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy…

量子物理 · 物理学 2024-10-21 Hideaki Takahashi , Raffaele Borrelli

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

化学物理 · 物理学 2012-12-20 Maria Bruna , S. Jonathan Chapman

The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods…

高能物理 - 理论 · 物理学 2019-08-17 Sun , C. P , L. H. Yu

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with…

量子物理 · 物理学 2018-06-29 Rémy Dubertrand , Alexandre Cesa , John Martin

Simulating open quantum systems is key to understanding non-equilibrium processes, as persistent influence from the environment induces dissipation and can give rise to steady-state phase transitions. A common strategy is to embed the…

量子物理 · 物理学 2025-12-19 Lucia Vilchez-Estevez , Alexander Yosifov , Jinzhao Sun

Interacting spin-boson models encompass a large class of physical systems, spanning models with a single spin interacting with a bosonic bath -- a paradigm of quantum impurity problems -- to models with many spins interacting with a cavity…

量子物理 · 物理学 2023-09-22 Naushad A. Kamar , Mohammad Maghrebi

An open quantum system with multiple levels coupled to a bosonic environment at zero temperature is investigated systematically using the non-Markovian quantum-state-diffusion (QSD) method [W. T. Strunz, L. Di\'osi, and N. Gisin, Phys. Rev.…

量子物理 · 物理学 2012-04-10 Jun Jing , Xinyu Zhao , J. Q. You , Ting Yu

We investigate memory effects in the spin-boson model using a recently proposed measure for non-Markovian behavior based on the information exchange between an open system and its environment. Employing the numerical exact multilayer…

量子物理 · 物理学 2021-07-28 Sebastian Wenderoth , Heinz-Peter Breuer , Michael Thoss

Multi-component quantum systems in strong interaction with their environment are receiving increasing attention due to their importance in a variety of contexts, ranging from solid state quantum information processing to the quantum…

量子物理 · 物理学 2015-03-13 Javier Prior , Alex. W. Chin , Susana. F. Huelga , Martin . B. Plenio

We explore the behavior in time of the energy exchange between a system of interest and its environment, together with its relationship to the non-Markovianity of the system dynamics. In order to evaluate the energy exchange we rely on the…

量子物理 · 物理学 2016-01-26 Giacomo Guarnieri , Chikako Uchiyama , Bassano Vacchini

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

统计力学 · 物理学 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the…

量子物理 · 物理学 2011-01-25 Chengjun Wu , Yang Li , Mingyi Zhu , Hong Guo

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

统计力学 · 物理学 2014-06-03 Phil Attard

Quantum states in complex aggregates are unavoidably affected by environmental effects, which typically cannot be accurately modeled by simple Markovian processes. As system sizes scale up, nonperturbative simulation become thus unavoidable…

统计力学 · 物理学 2024-06-26 Meng Xu , J. T. Stockburger , J. Ankerhold

The mathematical equivalence between finite state stochastic machine and non-dissipative and dissipative quantum tight-binding and Schroedinger model is derived. Stochastic Finite state machine is also expressed by classical epidemic model…

量子物理 · 物理学 2022-08-23 Krzysztof Pomorski

In standard treatments of open quantum systems, the reduced dynamics is described starting from the assumption that the system and the environment are initially uncorrelated. This assumption, however, is not always guaranteed in realistic…

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