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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

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

We present a formulation of non-Markovian quantum trajectories for open systems from a measurement theory perspective. In our treatment there are three distinct ways in which non-Markovian behavior can arise; a mode dependent coupling…

量子物理 · 物理学 2009-10-31 M. W. Jack , M. J. Collett , D. F. Walls

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

量子物理 · 物理学 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

The expansion of a stochastic Liouville equation for the coupled evolution of a quantum system and an Ornstein-Uhlenbeck process into a hierarchy of coupled differential equations is a useful technique that simplifies the simulation of…

量子物理 · 物理学 2012-10-02 Mohan Sarovar , Matthew D. Grace

We present the experimental control of Non-Markovian dynamics of open quantum systems simulated with photonic entities. The polarization of light is used as the system, whereas the surrounding environment is represented by light's spatial…

Solving realistic quantum systems coupled to an environment is a challenging task. Here we develop a hierarchical functional derivative (HFD) approach for efficiently solving the non-Markovian quantum trajectories of an open quantum system…

量子物理 · 物理学 2015-09-09 Da-Wei Luo , Chi-Hang Lam , Lian-Ao Wu , Ting Yu , Hai-Qing Lin , J. Q. You

Quantum Brownian motion plays a fundamental role in many areas of modern physics. In the path-integral formulation, the environmental quantum fluctuations driving the system dynamics can be characterized by auxiliary stochastic fields. For…

统计力学 · 物理学 2019-08-07 Lu Han , Vladimir Chernyak , Yun-An Yan , Xiao Zheng , YiJing Yan

Quantum collision describe open quantum systems through repeated interactions with a coarse-grained environment. However, a complete certification of these models is lacking, as no complete error bounds on the simulation of system…

量子物理 · 物理学 2025-07-03 Thibaut Lacroix , Dario Cilluffo , Susana F. Huelga , Martin B. Plenio

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

In this review, we provide an introduction and overview to some more recent advances in real-time dynamics of quantum impurity models and their realizations in quantum devices. We focus on the Ohmic spin-boson and related models, which…

Objectivity constitutes one of the main features of the macroscopic classical world. An important aspect of the quantum-to-classical transition issue is to explain how such a property arises from the microscopic quantum world. Recently,…

量子物理 · 物理学 2017-09-01 Aniello Lampo , Jan Tuziemski , Maciej Lewenstein , Jaroslaw K. Korbicz

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 present a projection-based, stability-preserving methodology for computing time correlation functions in open quantum systems governed by generalized quantum master equations with non-Markovian effects. Building upon the memory kernel…

量子物理 · 物理学 2026-02-12 Wei Liu , Rui-Hao Bi , Yu Su , Limin Xu , Zhennan Zhou , Yao Wang , Wenjie Dou

When simulating the dynamics of open quantum systems with quantum computers, it is essential to accurately approximate the system's behaviour while preserving the physicality of its evolution. Traditionally, for Markovian open quantum…

量子物理 · 物理学 2025-12-18 I. J. David , I. Sinayskiy , F. Petruccione

In this paper, we study the dynamical properties of two coupled quantum harmonic oscillators coupled with bosonic non-Markovian environment both in position and momentum. We deduce the exact analytical master equation using Quantum State…

量子物理 · 物理学 2018-11-06 Hao Jia , Xiaotong Ding

Open quantum systems are a topic of intense theoretical research. The use of master equations to model a system's evolution subject to an interaction with an external environment is one of the most successful theoretical paradigms. General…

In recent years, there has been tremendous focus on identifying whether effective descriptions of open quantum systems such as master equations, can accurately describe the dynamics of open quantum systems. One particular question is…

量子物理 · 物理学 2025-01-23 Gerardo Suárez , Marcin Łobejko , Michał Horodecki

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

量子物理 · 物理学 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara

The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time dependent oscillation of the…

量子物理 · 物理学 2011-08-31 Marko Znidaric , Carlos Pineda , Ignacio Garcia-Mata