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We explore the role a non-Markovian memory kernel plays on information exchange and entropy production in the context of a external work protocol. The Jarzynski Equality is shown to hold for both the harmonic and the non-harmonic models. We…

Statistical Mechanics · Physics 2021-02-10 J. Martins , L. Defaveri , D. O. Soares-Pinto , S. M. D. Queirós , W. A. M. Morgado

We examine entropy production in reduced descriptions of collisionless plasmas. Introducing a closure dependent entropy hierarchy, we show that non-conservative moment closures generate a residual entropy associated with irreversible…

Plasma Physics · Physics 2026-02-03 Alexander G. Tevzadze

We experimentally emulate, in a controlled fashion, the non-Markovian dynamics of a pure dephasing spin-boson model at zero temperature. Specifically, we use a randomized set of external radio-frequency fields to engineer a desired noise…

Quantum Physics · Physics 2019-02-15 Deepak Khurana , Bijay Kumar Agarwalla , T. S. Mahesh

We establish a connection between non-Markovianity and negative entropy production rate for various classes of quantum operations. We analyse several aspects of unital and thermal operations in connection with resource theories of purity…

Quantum Physics · Physics 2020-08-26 Samyadeb Bhattacharya , Bihalan Bhattacharya , A. S. Majumdar

Quantum non-Markovianity of a quantum noisy channel manifests typically as information backflow, characterized by the departure of the intermediate map from complete positivity, though we indicate certain noisy channels that don't exhibit…

The act of measuring a system has profound consequences of dynamical and thermodynamic nature. In particular, the degree of irreversibility ensuing from a non-equilibrium process is strongly affected by measurements aimed at acquiring…

Quantum Physics · Physics 2022-03-14 Alessio Belenchia , Mauro Paternostro , Gabriel T. Landi

Non-Markovian dynamics are typically present in the dynamics of open quantum systems. Despite the rich structure of non-Markovian dynamics, their relevance to quantum information processing (QIP) has been rarely discussed. In this work, we…

Quantum Physics · Physics 2025-12-22 Suguru Endo , Hideaki Hakoshima , Tomohiro Shitara

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

We investigate the dynamics of ergotropy in open systems under Markovian and non-Markovian evolutions. In this scenario, we begin by formulating the ergotropy of an arbitrary qubit state in terms of energy and coherence. Thus, we determine…

Quantum Physics · Physics 2024-05-28 J. M. Z. Choquehuanca , P. A. C. Obando , F. M. de Paula , M. S. Sarandy

The study of information revivals, witnessing the violation of certain data-processing inequalities, has provided an important paradigm in the study of non-Markovian quantum stochastic processes. Although often used interchangeably, we…

Modelling the evolution of a system using stochastic dynamics typically implies a greater subjective uncertainty in the adopted system coordinates as time progresses, and stochastic entropy production has been developed as a measure of this…

Statistical Mechanics · Physics 2023-02-06 Jonathan Dexter , Ian J. Ford

In the general process of eliminating dynamic variables in Markovian models, there exists a difference in the irreversible entropy production between the original and reduced dynamics. We call this difference the hidden entropy production,…

Statistical Mechanics · Physics 2022-06-28 Kyogo Kawaguchi , Yohei Nakayama

Any realistic quantum system is inevitably subject to an external environment. This environment makes the open-system dynamics significant for many quantum tech-nologies, such as entangled-state engineering, quantum simulation, and quantum…

Quantum Physics · Physics 2020-09-01 Yanan Lu , Yuran Zhang , Gangqin Liu , Franco Nori , Heng Fan , Xinyu Pan

A sequence of controlled collisions between a quantum system and its environment (composed of a set of quantum objects) naturally simulates (with arbitrary precision) any Markovian quantum dynamics of the system under consideration. In this…

Quantum Physics · Physics 2012-08-01 Tomas Rybar , Sergey N. Filippov , Mario Ziman , Vladimir Buzek

How is it that entropy derivatives almost in their own are characterizing the state of a system close to equilibrium, and what happens further away from it? We explain within the framework of Markov jump processes why fluctuation theory can…

Statistical Mechanics · Physics 2009-08-24 Christian Maes , Karel Netočný , Bram Wynants

Non-positive Markov approximations are sometimes used to describe the dynamics of qubits in weak interaction with suitable environments; the appearance of negative probabilities is avoided by assuming that the transient regime eliminates…

Quantum Physics · Physics 2009-11-13 F. Benatti , R. Floreanini , S. Breteaux

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

Statistical Mechanics · Physics 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

Macroscopic many-body systems always exhibit irreversible behaviors together with the entropy increase. However, the underlying microscopic dynamics of the many-body system, either the (quantum) von Neumann or (classical) Liouville…

Statistical Mechanics · Physics 2019-02-04 Sheng-Wen Li

We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we…

Quantum Physics · Physics 2013-04-30 F. Ciccarello , G. M. Palma , V. Giovannetti

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

Statistical Mechanics · Physics 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato
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