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We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for…

Quantum Physics · Physics 2014-12-17 Chaitanya Joshi , Patrik Ohberg , James D. Cresser , Erika Andersson

The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency.…

Quantum Physics · Physics 2022-02-15 Wallace S. Teixeira , Fernando L. Semião , Jani Tuorila , Mikko Möttönen

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 propose that nonequilibrium quantum criticality in open systems at both zero and finite temperatures can be described by a master equation of the Lindblad form. We derive this equation from a system coupling microscopic to a heat bath.…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Peizhi Mai , Fan Zhong

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…

Mesoscale and Nanoscale Physics · Physics 2020-09-08 Frederik Nathan , Mark S. Rudner

Starting from the Liouville-von Neumann equation, under a weak coupling limit we derive the Lindblad master equation for the one-dimensional quantum Ising model in a Markov approximation and a rotating wave approximation. We also prove that…

Statistical Mechanics · Physics 2013-03-15 Peizhi Mai , Shuai Yin

We investigate the dynamics of a qubit chain locally coupled to a thermal reservoir, modeled through repeated collisions with particles drawn from a heat bath. Under suitable conditions, the resulting Lindblad equation is thermodynamically…

Quantum Physics · Physics 2026-05-26 Jorge Tabanera-Bravo , Massimiliano Esposito , Felipe Barra , Juan M. R. Parrondo

Providing entanglement for the design of quantum technologies in the presence of noise constitutes today's main challenge in quantum information science. A framework is required that assesses the build-up of entanglement in realistic…

Quantum Physics · Physics 2026-01-26 Julien Pinske , Laura Ares , Benjamin Hinrichs , Martin Kolb , Jan Sperling

The interplay between non-Markovian dynamics and driving fields in the survival of entanglement between two non-degenerate oscillators is considered here. Based on exact analytical results for the non-Markovian dynamics of two…

Quantum Physics · Physics 2015-04-09 Andres F. Estrada , Leonardo A. Pachon

We investigate the long-time behavior of quantum N-level systems that are coupled to a Markovian environment and subject to periodic driving. As our main result, we obtain a general algebraic condition ensuring that all solutions of a…

Quantum Physics · Physics 2020-01-08 Paul Menczel , Kay Brandner

Quantum systems strongly coupled to many-body systems equilibrate to the reduced state of a global thermal state, deviating from the local thermal state of the system as it occurs in the weak-coupling limit. Taking this insight as a…

Quantum Physics · Physics 2018-03-28 M. Perarnau-Llobet , H. Wilming , A. Riera , R. Gallego , J. Eisert

We derive a Born-Markov master equation describing the dissipation induced by a bath of lossy but coherently driven two-level systems (TLS) coupled to a bosonic system via Jaynes-Cummings interaction. We analytically derive all the master…

Quantum Physics · Physics 2021-06-02 Katja Kustura , Oriol Romero-Isart , Carlos Gonzalez-Ballestero

It is a central problem in various fields of physics to elucidate the behavior of quantum many-body systems subjected to bulk dissipation. In this context, several microscopic derivations of the Lindblad quantum master equation for…

Statistical Mechanics · Physics 2025-09-30 Teruhiro Ikeuchi , Takashi Mori

In this paper we demonstrate that Lindblad equations characterized by a random rate variable arise after tracing out a complex structured reservoir. Our results follows from a generalization of the Born-Markov approximation, which relies in…

Quantum Physics · Physics 2009-11-11 Adrian A. Budini

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…

Quantum Physics · Physics 2016-07-22 P. R. Eastham , P. Kirton , H. M. Cammack , B. W. Lovett , J. Keeling

It is very common in the literature to write down a Markovian quantum master equation in Lindblad form to describe a system with multiple degrees of freedom and weakly connected to multiple thermal baths which can, in general, be at…

Quantum Physics · Physics 2022-04-06 Devashish Tupkary , Abhishek Dhar , Manas Kulkarni , Archak Purkayastha

We present a derivation of the Lindblad equation - an important tool for the treatment of non-unitary evolutions - that is accessible to undergraduate students in physics or mathematics with a basic background on quantum mechanics. We…

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

Quantum Physics · Physics 2022-01-05 Marco Merkli

The focus is on understanding the quantum thermodynamics of strongly coupled non-Markovian quantum systems. To this end, a non-trivial, non-Markovian model of a central spin surrounded by a spin bath is taken up, and its exact evolution is…

Quantum Physics · Physics 2025-08-28 Devvrat Tiwari , Baibhab Bose , Subhashish Banerjee

We consider the reduced dynamics in a bipartite quantum system (consisting of a central system and an intermediate environment) coupled to a heat bath at finite temperature. To describe this situation, in the simplest possible -- yet…

Quantum Physics · Physics 2018-08-08 Alexander Ramírez Bolaños , Héctor J. G. Moreno Carrión , Thomas Gorin
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