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相关论文: A Lindblad Model of Quantum Brownian Motion

200 篇论文

The Brownian motion of a harmonically bound quantum particle and coupled to a harmonic quantum bath is exactly solvable. At low enough temperatures the stationary state is non-Gibbsian due to an entanglement with the bath. This happens when…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

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…

介观与纳米尺度物理 · 物理学 2020-09-08 Frederik Nathan , Mark S. Rudner

The Brownian motion of a quantum particle in a harmonic confining potential and coupled to a harmonic quantum thermal bath is exactly solvable. It is shown that at low enough temperatures the stationary state is non-Gibbsian due to an…

统计力学 · 物理学 2007-05-23 Th. M. Nieuwenhuizen , A. E. Allahverdyan

The evolution of the reduced density operator $\rho$ of Brownian particle is discussed in single collision approach valid typically in low density gas environments. This is the first succesful derivation of quantum friction caused by {\it…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Lajos Diosi

The Lindblad quantum master equation is one of the central approaches to the physics of open quantum systems. In particular, boundary driving enables the study of transport, where a steady state emerges in the long-time limit, which…

统计力学 · 物理学 2025-02-20 Markus Kraft , Mariel Kempa , Jiaozi Wang , Robin Steinigeweg

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

Starting from the Caldeira-Leggett (CL) model, we derive the equation describing the Quantum Brownian motion, which has been originally proposed by Dekker purely from phenomenological basis containing extra anomalous diffusion terms.…

量子物理 · 物理学 2015-05-13 Subhasis Sinha , P. A. Sreeram

We analyze quantal Brownian motion in $d$ dimensions using the unified model for diffusion localization and dissipation, and Feynman-Vernon formalism. At high temperatures the propagator possess a Markovian property and we can write down an…

凝聚态物理 · 物理学 2009-10-31 Doron Cohen

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties of steady states in the limit of long times, the actual…

统计力学 · 物理学 2023-08-07 Tjark Heitmann , Jonas Richter , Jacek Herbrych , Jochen Gemmer , Robin Steinigeweg

For the purpose of understanding the quantum behavior such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set…

量子物理 · 物理学 2007-12-09 Chung-Hsien Chou , B. L. Hu , Ting Yu

A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation…

量子物理 · 物理学 2009-11-06 B. Vacchini

The majority of quantum open system models in the literature are simplistic in the sense that they only explicitly account for that part of the environment that directly interacts with the system of interest. A quantum open system with an…

量子物理 · 物理学 2007-05-23 Michael R. Gallis

We investigate a mean-field approach to a quantum brownian particle interacting with a quantum thermal bath at temperature $T$, and subjected to a non-linear potential. An exact, partially classical description of quantum brownian motion is…

统计力学 · 物理学 2009-11-07 A. E. Allahverdyan , R. Balian , Th. M. Nieuwenhuizen

This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms…

量子物理 · 物理学 2025-11-05 Shovan Dutta

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

量子物理 · 物理学 2018-09-26 Zhu Ruan , Roi Baer

In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the…

量子物理 · 物理学 2009-11-13 A. Isar , A. Sandulescu , W. Scheid

We revisit the Caldeira-Leggett model of quantum Brownian motion with Ohmic spectral density, and derive an additional contribution to the decoherence kernel in a new high-temperature limit at arbitrarily large cut-off frequency. This…

量子物理 · 物理学 2025-08-21 Graeme Pleasance , Erik Aurell , Francesco Petruccione

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

In the frames of classical mechanics the generalized Langevin equation is derived for an arbitrary mechanical subsystem coupled to the harmonic bath of a solid. A time-acting temperature operator is introduced for the quantum Klein-Kramers…

量子物理 · 物理学 2021-05-17 Roumen Tsekov

Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

软凝聚态物质 · 物理学 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez