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We study the open system dynamics of a heavy quark in the quark-gluon plasma using a Lindblad master equation. Applying the quantum state diffusion approach by Gisin and Percival, we derive and numerically solve a nonlinear stochastic…

Nuclear Theory · Physics 2018-08-01 Yukinao Akamatsu , Masayuki Asakawa , Shiori Kajimoto , Alexander Rothkopf

The theory of quantum Brownian motion describes the properties of a large class of open quantum systems. Nonetheless, its description in terms of a Born-Markov master equation, widely used in the literature, is known to violate the…

Quantum Physics · Physics 2016-12-16 Aniello Lampo , Soon Hoe Lim , Jan Wehr , Pietro Massignan , Maciej Lewenstein

A method for the systematic construction of few-body damped harmonic oscillator networks accurately reproducing the effect of general bosonic environments in open quantum systems is presented. Under the sole assumptions of a Gaussian…

A generalization of the stochastic wave function method to quantum master equations which are not in Lindblad form is developed. The proposed stochastic unravelling is based on a description of the reduced system in a doubled Hilbert space…

Quantum Physics · Physics 2009-10-31 H. P. Breuer , B. Kappler , F. Petruccione

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

Statistical Mechanics · Physics 2014-06-03 Phil Attard

In this article, we explore the dissipation dynamics of a strongly coupled multidimensional system in contact with a Markovian bath following a system-bath approach. We use in this endeavour the recently developed stochastic…

We propose a systematic and explicit method for the inverse engineering of the dynamics of an open quantum systems with no auxiliary Hamiltonian nor the prerequisite of adiabatic passage. In particular, we exploit the Lindblad dissipators…

Quantum Physics · Physics 2016-12-08 Jun Jing , Mark S. Byrd , Lian-Ao Wu

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

Simulating open quantum systems is an essential technique for understanding complex physical phenomena and advancing quantum technologies. Some quantum algorithms simulate Lindblad dynamics exponentially accurately, i.e., they achieve…

Quantum Physics · Physics 2026-02-24 Jumpei Kato , Kaito Wada , Kosuke Ito , Naoki Yamamoto

The Lindblad equation for open quantum systems is central to our understanding of coherence and entanglement in the presence of Markovian dissipation. In closed quantum systems Hilbert-space fragmentation is an effective mechanism for…

Quantum Physics · Physics 2025-06-23 Dawid Paszko , Christopher J. Turner , Dominic C. Rose , Arijeet Pal

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

Non-equilibrium steady states are a focal point of research in the study of open quantum systems. Previous variational algorithms for searching these steady states have suffered from resource-intensive implementations due to vectorization…

Quantum Physics · Physics 2023-09-14 Hongyi Zhou , Rui Mao , Xiaoming Sun

We study a XY model which consists of a spin chain coupled to heat baths. We give a repeated quantum interaction Hamiltonian describing this model. We compute the explicit form of the associated Lindblad generator in the case of the spin…

Probability · Mathematics 2009-11-13 Ameur Dhahri

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

Quantum Physics · Physics 2014-02-24 Victor V. Albert , Liang Jiang

High fidelity models, which support accurate device characterization and correctly account for environmental effects, are crucial to the engineering of scalable quantum technologies. As it ensures positivity of the density matrix, one…

Quantum Physics · Physics 2017-11-01 S. N. A. Duffus , V. M. Dwyer , M. J. Everitt

We consider the Lindblad equation for a collection of multilevel systems coupled to independent environments. The equation is symmetric under the exchange of the labels associated with each system and thus the open-system dynamics takes…

Quantum Physics · Physics 2015-11-30 Marduk Bolaños , Pablo Barberis-Blostein

Open quantum systems provide an essential theoretical basis for the development of novel quantum technologies, since any real quantum system inevitably interacts with its environment. Lindblad master equations capture the effect of…

Quantum Physics · Physics 2022-12-14 Gary Schmiedinghoff , Götz S. Uhrig

The Bloch equation that set the foundation for open quantum systems, was conceived by pure physical reasoning. Since then, the Lindblad (GKLS) form of a quantum master equation, its most general mathematical representation, became an…

Quantum Physics · Physics 2025-05-20 Eugenia Pyurbeeva , Ronnie Kosloff

Quantum master equations are an invaluable tool to model the dynamics of a plethora of microscopic systems, ranging from quantum optics and quantum information processing, to energy and charge transport, electronic and nuclear spin…

Quantum Physics · Physics 2024-12-10 Francesco Campaioli , Jared H. Cole , Harini Hapuarachchi

The coherent quantum dynamics of a single bosonic spin variable, subject to a constraint derived from the quantum spherical model of a ferromagnet, and coupled to an external heat bath, is studied through the Lindblad equation for the…

Statistical Mechanics · Physics 2016-02-12 Sascha Wald , Malte Henkel