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Entropy production plays a fundamental role in nonequilibrium thermodynamics to quantify the irreversibility of open systems. Its positivity can be ensured for a wide class of setups, but the entropy production rate can become negative…

统计力学 · 物理学 2019-01-23 Philipp Strasberg , Massimiliano Esposito

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…

量子物理 · 物理学 2020-08-26 Samyadeb Bhattacharya , Bihalan Bhattacharya , A. S. Majumdar

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a…

量子物理 · 物理学 2024-12-03 Mariia Ivanchenkoa , Peter L. Walters , Fei Wang

The theoretical description of quantum dynamics in an intriguing way does not necessarily imply the underlying dynamics is indeed intriguing. Here we show how a known very interesting master equation with an always negative decay rate…

量子物理 · 物理学 2017-07-31 Nina Megier , Dariusz Chruściński , Jyrki Piilo , Walter T. Strunz

Determining the Markovianity and non-Markovianity of a quantum process is a critical problem in the theory of open quantum systems, as their behaviors differ significantly in terms of complexity. It is well recognized that a quantum process…

量子物理 · 物理学 2023-10-30 Le Hu , Andrew N. Jordan

We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the…

Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility?…

量子物理 · 物理学 2019-02-20 Wei-Min Zhang

We develop a Markovian master equation in the Lindblad form that enables the efficient study of a wide range of open quantum many-body systems that would be inaccessible with existing methods. The validity of the master equation is based…

介观与纳米尺度物理 · 物理学 2020-09-08 Frederik Nathan , Mark S. Rudner

We consider generic interacting chain of qubits, which are coupled at the edges to baths of fixed polarizations. We can determine the nonequilibrium steady states, described by the fixed point of the Lindblad Master Equation. Under rather…

量子物理 · 物理学 2015-06-12 Vladislav Popkov , Roberto Livi

In this article we revisit the theory of open quantum systems from the perspective of fermionic baths. Specifically, we concentrate on the dynamics of a central spin half particle interacting with a spin bath. We have calculated the exact…

量子物理 · 物理学 2021-09-14 Samyadeb Bhattacharya , Subhashish Banerjee

We propose a scheme to characterize the non-Markovian dynamics and quantify the non-Markovianity via the non-classicality measured by the negativity of quantumness. By considering a qubit in contact with a critical Ising spin bath and…

量子物理 · 物理学 2015-06-23 Zheng-Da Hu , Yixin Zhang , Ye-Qi Zhang

An exact reduced dynamical map along with its operator sum representation is derived for a central spin interacting with a thermal spin environment. The dynamics of the central spin shows high sustainability of quantum traits such as…

量子物理 · 物理学 2017-11-23 Chiranjib Mukhopadhyay , Samyadeb Bhattacharya , Avijit Misra , Arun Kumar Pati

We study the analytically solvable Ising model of a single qubit system coupled to a spin bath. The purpose of this study is to analyze and elucidate the performance of Markovian and non-Markovian master equations describing the dynamics of…

量子物理 · 物理学 2007-12-04 Hari Krovi , Ognyan Oreshkov , Mikhail Ryazanov , Daniel A. Lidar

The dynamics of a central spin-1/2 in presence of a local magnetic field and a bath of N spin-1/2 particles is studied in the thermodynamic limit. The interaction between the spins is Heisenberg XY type and the bath is considered to be a…

量子物理 · 物理学 2008-11-26 J. Rodríguez Garzón , R. M. Gutiérrez

We discuss fundamental features of the local expression for the entropy production rate of the nonequilibrium quantum dynamics of open systems and its relations to memory effects and the spectrum of the generator of the dynamics. Defining…

量子物理 · 物理学 2026-03-03 Irene Ada Picatoste , Alessandra Colla , Heinz-Peter Breuer

A central problem in the theory of the dynamics of open quantum systems is the derivation of a rigorous and computationally tractable master equation for the reduced system density matrix. Most generally, the evolution of an open quantum…

凝聚态物理 · 物理学 2016-08-31 Daniel A. Lidar , Zsolt Bihary , K. Birgitta Whaley

We explore the nonunital non-Markovian dynamics of a qubit immersed in a spin bath. The nonunital environmental effects on the precisions of quantum parameter estimation are investigated. The time-dependent transfer matrix and inhomogeneity…

量子物理 · 物理学 2013-11-26 Xiang Hao , Wenjiong Wu , Shiqun Zhu

It is shown that by fitting a Markovian quantum master equation to the numerical solution of the time-dependent Schr\"odinger equation of a system of two spin-1/2 particles interacting with a bath of up to 34 spin-1/2 particles, the former…

计算物理 · 物理学 2017-12-06 Hans De Raedt , Fengping Jin , Mikhail I. Katsnelson , Kristel Michielsen

A well-known situation in which a non-Markovian dynamics of an open quantum system $S$ arises is when this is coherently coupled to an auxiliary system $M$ in contact with a Markovian bath. In such cases, while the joint dynamics of $S$-$M$…

量子物理 · 物理学 2016-05-25 Salvatore Lorenzo , Francesco Ciccarello , G. Massimo Palma

We study the relationship between (non-)Markovian evolutions, established correlations, and the entropy production rate. We consider a system qubit in contact with a thermal bath and in addition the system is strongly coupled to an…

量子物理 · 物理学 2018-07-24 Maria Popovic , Bassano Vacchini , Steve Campbell
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