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We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz

Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in…

Quantum Physics · Physics 2012-12-27 A. Barchielli , C. Pellegrini , F. Petruccione

We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the…

Quantum Physics · Physics 2010-01-05 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo

Novel concepts, perspectives and challenges in measuring and controlling an open quantum system via sequential schemes are shown. We discuss how similar protocols, relying both on repeated quantum measurements and dynamical decoupling…

Quantum Physics · Physics 2019-06-26 Stefano Gherardini , Andrea Smirne , Matthias M. Müller , Filippo Caruso

The foundations of statistical mechanics, namely how equilibrium hypothesis emerges microscopically from quantum theory, is explored through investigating the environment-induced quantum decoherence processes. Based on the recent results on…

Quantum Physics · Physics 2015-12-04 Heng-Na Xiong , Ping-Yuan Lo , Wei-Min Zhang , Franco Nori , Da Hsuan Feng

In this article we describe the incoherent and coherent spin and charge dynamics of a single electron quantum dot. We use a stochastic master equation to model the state of the system, as inferred by an observer with access to only the…

Quantum Physics · Physics 2017-11-15 Eliska Greplova , Edward A. Laird , G. Andrew D. Briggs , Klaus Mølmer

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual pro jection operator techniques in this context, discrete versions…

Quantum Physics · Physics 2015-05-13 C Pellegrini , F Petruccione

This thesis presents studies performed on open quantum systems, that is, quantum systems interacting with their surrounding environment. Such systems are important not only in understanding the quantum-to-classical transition but also for…

Quantum Physics · Physics 2024-02-20 Ali Raza Mirza

Quantum systems subjected to a continuous weak measurement process evolve according to stochastic differential equations (SDE). Depending on the outcomes of these stochastic measurements, the quantum state may diffuse in various directions…

Quantum Physics · Physics 2025-08-19 Alain Sarlette , Cyril Elouard , Pierre Rouchon

The dynamics of a single microscopic or mesoscopic non quantum system interacting with a macroscopic environment is generally stochastic. In the same way, the reduced density operator of a single quantum system interacting with a…

Quantum Physics · Physics 2020-04-06 Fabrice Debbasch

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.…

Quantum Physics · Physics 2016-09-08 L. Accardi , S. V. Kozyrev , I. V. Volovich

Including the effect of the molecular environment in the numerical modeling of time-resolved electronic spectroscopy remains an important challenge in computational spectroscopy. In this contribution, we present a general approach for the…

Quantum Physics · Physics 2024-12-17 Federico Gallina , Matteo Bruschi , Roberto Cacciari , Barbara Fresch

A small quantum scattering system (the microsystem) is studied in interaction with a large quantum system (the macrosystem) described by unknown stochastic variables. The interaction between the two systems is diagonal for the microsystem…

Quantum Physics · Physics 2007-05-23 Karl-Erik Eriksson

We consider several observers who monitor different parts of the environment of a single quantum system and use their data to deduce its state. We derive a set of conditional stochastic master equations that describe the evolution of the…

Quantum Physics · Physics 2009-11-07 Jacek Dziarmaga , Diego A. R. Dalvit , Wojciech H. Zurek

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

Quantum Physics · Physics 2021-04-07 Roie Dann , Ronnie Kosloff

We consider the description of quantum noise within the framework of the standard Copenhagen interpretation of quantum mechanics applied to a composite system environment setting. Averaging over the environmental degrees of freedom leads to…

Quantum Physics · Physics 2016-11-04 Bassano Vacchini

The incoherent dynamical properties of open quantum systems are generically attributed to an ongoing correlation between the system and its environment. Here, we propose a novel way to assess the nature of these system-environment…

Quantum Physics · Physics 2018-01-23 Hong-Bin Chen , Clemens Gneiting , Ping-Yuan Lo , Yueh-Nan Chen , Franco Nori

One of the most important topics in the study of the dynamics of open quantum system is information exchange between system and environment. Based on the features of a back-flow information from an environment to a system, an approach is…

Quantum Physics · Physics 2015-09-23 S. Haseli , S. Salimi , A. S. Khorashad