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Markovian reservoir engineering, in which time evolution of a quantum system is governed by a Lindblad master equation, is a powerful technique in studies of quantum phases of matter and quantum information. It can be used to drive a…

Quantum Physics · Physics 2016-11-18 Victor V. Albert , Barry Bradlyn , Martin Fraas , Liang Jiang

In this paper we demonstrate how to generate the strong-coupling master equations for open quantum systems of continuous variables. These are the dissipative master equations of quantum Brownian particles for which the environmental noise…

Quantum Physics · Physics 2010-12-08 C. H. Fleming

We study a periodically driven macrospin system with anisotropic long-range interactions and collective dissipation, described by a Lindblad master equation. In the thermodynamic limit ($N\to\infty$), a mean-field treatment yields classical…

Quantum Physics · Physics 2026-01-05 Haowei Fan , Vladimir Fal'ko , Xiao Li

Many current problems of interest in quantum non-equilibrium are described by time-local master equations (TLMEs) for the density matrix that are not of the Lindblad form, that is, that are not strictly probability conserving and/or…

Quantum Physics · Physics 2015-03-25 Michael R. Hush , Igor Lesanovsky , Juan P. Garrahan

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called quantum Markovian semi-group evolution,…

Quantum Physics · Physics 2014-10-07 Enej Ilievski

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the…

Quantum Physics · Physics 2018-01-17 Yu Cao , Jianfeng Lu

A system of $N$ spin-1/2 particles interacting with a thermal reservoir is used as a pedagogical example for advanced undergraduate and graduate students. We introduce and illustrate some methods, approximations, and phenomena related to…

Quantum Physics · Physics 2014-10-09 G. A. Prataviera , S. S. Mizrahi

We present a general approach to derive Lindblad master equations for a subsystem whose dynamics is coupled to dissipative bosonic modes. The derivation relies on a Schrieffer-Wolff transformation which allows to eliminate the bosonic…

Quantum Physics · Physics 2022-08-17 Simon B. Jäger , Tom Schmit , Giovanna Morigi , Murray J. Holland , Ralf Betzholz

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many…

Quantum Physics · Physics 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

We provide model reduction formulas for open quantum systems consisting of a target component which weakly interacts with a strongly dissipative environment. The time-scale separation between the uncoupled dynamics and the interaction…

Lindbladian quantum master equations (LEs) are the most popular descriptions for quantum systems weakly coupled to baths. But, recent works have established that in many situations such Markovian descriptions are fundamentally limited: they…

Quantum Physics · Physics 2026-02-03 Soumyadeep Sarma , Manas Kulkarni , Archak Purkayastha , Devashish Tupkary

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

A quantum system that interacts with an environment generally undergoes nonunitary evolution described by a non-Markovian or Markovian master equation. In this paper, we construct the non-Markovian Redfield master equation for a quantum…

High Energy Physics - Theory · Physics 2026-01-13 Brenden Bowen , Nishant Agarwal , Archana Kamal

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink

We provide an in-depth and thorough treatment of the validity of the rotating-wave approximation (RWA) in an open quantum system. We find that when it is introduced after tracing out the environment, all timescales of the open system are…

Quantum Physics · Physics 2010-10-04 Chris Fleming , N. I. Cummings , Charis Anastopoulos , B. L. Hu

In this paper, we propose a novel quantum classifier utilizing dissipative engineering. Unlike standard quantum circuit models, the classifier consists of a central spin-qubit model. By subjecting the auxiliary qubits to carefully tailored…

Quantum Physics · Physics 2024-09-06 He Wang , Chuanbo Liu , Jin Wang

We develop an extension of the Monte Carlo wave function approach that unambiguously identifies dynamical entanglement in general composite, open systems. Our algorithm performs tangential projections onto the set of separable states,…

Quantum Physics · Physics 2026-01-21 Laura Ares , Julien Pinske , Benjamin Hinrichs , Martin Kolb , Jan Sperling

As a key index for applications of a device, the device's reliability is its ability to survive (function normally over time) under the influence of some environment. In this paper we present a quantum energy-storing device model with a…

Quantum Physics · Physics 2026-03-13 Bowen Sun , D. L. Zhou

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum…

Quantum Physics · Physics 2018-02-05 Victor V. Albert

We investigate the non-stationary phenomenon in a tripartite spin-1/2 system in the collision model (CM) framework. After introducing the dissipation through the system-environment collision for both Markovian and non-Markovian cases, we…

Quantum Physics · Physics 2023-04-11 Yan Li , Xingli Li , Jiasen Jin