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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…

量子物理 · 物理学 2022-08-17 Simon B. Jäger , Tom Schmit , Giovanna Morigi , Murray J. Holland , Ralf Betzholz

We show that the effect of a Gaussian Bosonic environment linearly coupled to a quantum system can be simulated by a stochastic Lindblad master equation characterized by a set of ancillary Bosonic modes initially at zero temperature and…

量子物理 · 物理学 2023-10-31 Si Luo , Neill Lambert , Pengfei Liang , Mauro Cirio

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…

量子物理 · 物理学 2026-04-02 Fabrizio Minganti , Alberto Biella

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…

统计力学 · 物理学 2013-03-15 Peizhi Mai , Shuai Yin

We study the long-time dynamics of a dissipative Ising chain with varying quantum correlation. Invoking an ensemble-average formalism, and assuming spatial translation symmetry, we show that the dynamics can be described by a Lindblad…

量子物理 · 物理学 2025-09-11 Zhenming Zhang , Haowei Li , Wei Yi

Despite significant theoretical efforts devoted to studying the interaction between quantized light modes and matter, the so-called ultra-strong coupling regime still presents significant challenges for theoretical treatments and prevents…

量子物理 · 物理学 2024-03-22 Maksim Lednev , Francisco J. García-Vidal , Johannes Feist

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…

统计力学 · 物理学 2016-02-12 Sascha Wald , Malte Henkel

Realistic models of quantum systems must include dissipative interactions with an environment. For weakly-damped systems the Lindblad-form Markovian master equation is invaluable for this task due to its tractability and efficiency. This…

量子物理 · 物理学 2020-09-01 Gavin McCauley , Benjamin Cruikshank , Denys I. Bondar , Kurt Jacobs

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

量子物理 · 物理学 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

The methodology of stochastic description for dissipation, a generic scheme to decouple the interaction between two subsystems, is applied to the study of dissipative dynamics in quantum optics. It is shown that the influence of the coupled…

量子物理 · 物理学 2012-05-22 Haifeng Li , Jiushu Shao

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…

量子物理 · 物理学 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic…

量子物理 · 物理学 2025-04-04 Sayak Adhikari , Roi Baer

A model master equation suitable for quantum computing dynamics is presented. In an ideal quantum computer (QC), a system of qubits evolves in time unitarily and, by virtue of their entanglement, interfere quantum mechanically to solve…

量子物理 · 物理学 2017-05-31 Frank Tabakin

We compare two approaches to open quantum systems, namely, the non-Hermitian dynamics and the Lindblad master equation. In order to deal with more general dissipative phenomena, we propose the unified master equation that combines the…

量子物理 · 物理学 2014-09-10 Konstantin G. Zloshchastiev , Alessandro Sergi

We show how the effective equation of motion for a distinguished quantum particle in an ideal gas environment can be obtained by means of the monitoring approach introduced in [EPL 77, 50007 (2007)]. The resulting Lindblad master equation…

量子物理 · 物理学 2009-06-09 Klaus Hornberger , Bassano Vacchini

Quantum master equations form an important tool in the description of transport problems in open quantum systems. However, they suffer from the difficulty that the shape of the Lindblad dissipator depends sensibly on the system Hamiltonian.…

统计力学 · 物理学 2017-02-01 Jader P. Santos , Gabriel T. Landi

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

量子物理 · 物理学 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

We consider an open quantum system described by a Lindblad-type master equation with two times-scales. The fast time-scale is strongly dissipative and drives the system towards a low-dimensional decoherence-free space. To perform the…

量子物理 · 物理学 2016-03-16 Remi Azouit , Alain Sarlette , Pierre Rouchon

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 general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

介观与纳米尺度物理 · 物理学 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker
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