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The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where…

Identifying which master equation is preferable for the description of a multipartite open quantum system is not trivial and has led in the recent years to the local vs. global debate in the context of Markovian dissipation. We treat here a…

This work makes progress on the issue of global vs. local master equations. Global master equations like the Redfield master equation (following from standard Born and Markov approximation) require a full diagonalization of the system…

量子物理 · 物理学 2025-07-30 Alexander Schnell

Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach…

量子物理 · 物理学 2023-01-13 Si-Ying Wang , Qinghong Yang , Fu-Lin Zhang

We present an exact expansion of the master equation for an open quantum system. The resulting equation is time local and enables us to calculate clearly defined higher order corrections to the Born-Markov approximation. In particular, we…

量子物理 · 物理学 2014-09-22 Christian Karlewski , Michael Marthaler

Finding efficient descriptions of how an environment affects a collection of discrete quantum systems would lead to new insights into many areas of modern physics. Markovian, or time-local, methods work well for individual systems, but for…

量子物理 · 物理学 2016-07-22 P. R. Eastham , P. Kirton , H. M. Cammack , B. W. Lovett , J. Keeling

The Markovian dynamics of open quantum systems is typically described through Lindblad equations, which are derived from the Redfield equation via the full secular approximation. The latter neglects the rotating terms in the master equation…

量子物理 · 物理学 2025-12-01 Antti Vaaranta , Marco Cattaneo

When deriving a master equation for a multipartite weakly-interacting open quantum systems, dissipation is often addressed \textit{locally} on each component, i.e. ignoring the coherent couplings, which are later added `by hand'. Although…

In various fields from quantum physics to biology, the open quantum dynamics of a system consisting of interacting subsystems emphasizes its fundamental functionality. The local approach, deriving a dissipator in a master equation by…

量子物理 · 物理学 2023-09-15 Chikako Uchiyama

Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

量子物理 · 物理学 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

We analyse the dynamics of a qubit coupled to a dissipative impurity by comparing local and global derivation schemes of a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation within the Born-Markov and full secular (FS)…

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of…

量子物理 · 物理学 2021-12-09 Patrick P. Potts , Alex Arash Sand Kalaee , Andreas Wacker

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

量子物理 · 物理学 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

Master equations are a vital tool to model heat flow through nanoscale thermodynamic systems. Most practical devices are made up of interacting sub-system, and are often modelled using either local master equations (LMEs) or global master…

量子物理 · 物理学 2021-05-05 Stefano Scali , Janet Anders , Luis A. Correa

We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master…

量子物理 · 物理学 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

Local quantum master equations provide a simple description of interacting subsystems coupled to different reservoirs. They have been widely used to study nonequilibrium critical phenomena in open quantum systems. We here investigate the…

量子物理 · 物理学 2022-03-24 Michael Konopik , Eric Lutz

There is a current interest in quantum thermodynamics in the context of open quantum systems. An important issue is the consistency of quantum thermodynamics, in particular the second law of thermodynamics, i.e., the flow of heat from a hot…

量子物理 · 物理学 2024-07-30 Hans C. Fogedby

An open quantum system in contact with an infinite bath approaches equilibrium, while the state of the bath remains unchanged. If the bath is finite, the open system still relaxes to equilibrium, but it induces a dynamical evolution of the…

量子物理 · 物理学 2022-05-20 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

For adiabatically and periodically manipulated dissipative quantum systems we derive, using Floquet theory, a simple Markovian master equation. Contrary to some previous works we explicitly take into account the time dependence of the…

超导电性 · 物理学 2015-03-19 I. Kamleitner , A. Shnirman

We obtain a Gorini-Kossakowski-Sudarshan-Lindblad -like master equation for two or more quantum systems connected locally to a combination of Markovian and non-Markovian heat baths. The master equation was originally formulated for…

量子物理 · 物理学 2024-07-24 Ahana Ghoshal , Ujjwal Sen
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