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We employ the theoretical framework of positive operator valued measures, to study Markovian open quantum systems. In particular, we discuss how a quantum system influences its environment. Using the theory of indirect measurements, we then…

Quantum Physics · Physics 2010-09-23 Ingo Kamleitner

For a quantum system undergoing non-Markovian open quantum dynamics, we demonstrate a tomography algorithm based on multi-time measurements of the system, which reconstructs a minimal environment coupled to the system, such that the system…

Quantum Physics · Physics 2022-08-31 Chu Guo

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

We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which…

Quantum Physics · Physics 2013-05-29 Dariusz Chruscinski , Andrzej Kossakowski

Non-Markovianity, as an important feature of general open quantum systems, is usually difficult to quantify with limited knowledge of how the plant that we are interested in interacts with its environment-the bath. It often happens that the…

Quantum Physics · Physics 2011-11-28 Huan Yang , Haixing Miao , Yanbei Chen

We examine the properties of open quantum systems with respect to their time evolution in different regimes, Markovian and non-Markovian. We analyze their behaviour with respect to their coherent or decoherent time evolution by means of…

Quantum Physics · Physics 2015-04-01 Tarek Khalil , Jean Richert

A rapid restoration of the bath state is usually required to induce Markovian dynamics for an open quantum system, which typically can be realized only in limits such as weak system-bath coupling and infinitely large bath. In this work, we…

Quantum Physics · Physics 2018-01-01 Shengshi Pang , Todd A. Brun , Andrew N. Jordan

We construct a large class of completely positive and trace preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics characterized by a continuous time evolution interrupted by jumps,…

Quantum Physics · Physics 2014-04-03 Bassano Vacchini

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,…

Quantum Physics · Physics 2023-03-01 Xiantao Li , Chunhao Wang

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

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

Simple, controllable models play an important role to learn how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class…

Quantum Physics · Physics 2021-08-04 Nina Megier , Manuel Ponzi , Andrea Smirne , Bassano Vacchini

We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments - one a continuous bosonic environment leading to a unitary system-environment evolution…

Quantum Physics · Physics 2018-01-24 Dario Tamascelli , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

A universal definition of non-Markovianity for open systems dynamics is proposed. It is extended from the classical definition to the quantum realm by showing that a `transition' from the Markov to the non-Markov regime occurs when the…

Quantum Physics · Physics 2014-01-07 N. Lo Gullo , I. Sinayskiy , Th. Busch , F. Petruccione

The character of evolution of an open quantum system is often encoded in the correlation function of the environment or, equivalently, in the spectral density function of the interaction. When the environment is heterogeneous, e.g. consists…

Quantum Physics · Physics 2021-01-20 V. A. Mikhailov , N. V. Troshkin

Controlling the non-Markovian dynamics of open quantum systems is essential in quantum information technology since it plays a crucial role in preserving quantum memory. Albeit in many realistic scenarios the quantum system can…

Quantum Physics · Physics 2015-07-15 Zhong-Xiao Man , Yun-Jie Xia , Rosario Lo Franco

We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual…

Quantum Physics · Physics 2018-07-31 Steve Campbell , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

We show that non-Markovian open quantum systems can exhibit exact Markovian dynamics up to an arbitrarily long time; the non-Markovianity of such systems is thus perfectly "hidden", i.e. not experimentally detectable by looking at the…

Quantum Physics · Physics 2021-01-08 Daniel Burgarth , Paolo Facchi , Marilena Ligabò , Davide Lonigro

Quantum non-Markovianity modifies the environmental decoherence of a system. This situation is enriched in complex systems owing to interactions among subsystems. We consider the problem of distinguishing the multiple sources of…

Quantum Physics · Physics 2021-03-03 Subhashish Banerjee , Javid Naikoo , R. Srikanth

We analyze a class of dynamics of open quantum systems which is governed by the dynamical map mutually commuting at different times. Such evolution may be effectively described via spectral analysis of the corresponding time dependent…

Quantum Physics · Physics 2011-02-18 D. Chruscinski , A. Kossakowski , P. Aniello , G. Marmo , F. Ventriglia