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Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

统计力学 · 物理学 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

A particle subjected to a fluctuating force originated from its interaction with an external quantum system undergoes quantum Brownian motion. This phenomenon is investigated in detail for the case of a particle confined by a harmonic…

量子物理 · 物理学 2025-01-29 Ygor de Oliveira Souza , Caio C. Holanda Ribeiro , Vitorio A. De Lorenci

An equation for the reduced density matrix which describes a free particle, that is interacting with a linearly dissipative medium, is derived using the total Hamiltonian, and without resorting to any artificial model. A Master equation is…

统计力学 · 物理学 2007-05-23 W. H. Richardson

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue problem and obtain the temporal evolution of the dynamical…

量子物理 · 物理学 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Javier Guevara

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

We use a simple model of particle shape to investigate how particle asymmetry affects particle-surface interaction, orientation, and stochastic dynamics over a planar surface. With this geometric model, we construct potential energy curves…

软凝聚态物质 · 物理学 2017-10-10 Guilherme H. Oliveira , A. Honorato , Rene A. Nome

We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear…

量子气体 · 物理学 2015-04-17 Pietro Massignan , Aniello Lampo , Jan Wehr , Maciej Lewenstein

For the standard Quantum Brownian Motion (QBM) model, we point out the occurrence of simultaneous (parallel), mutually irreducible and autonomous decoherence processes. Besides the standard, one Brownian particle, we show there is at least…

量子物理 · 物理学 2012-09-05 M. Dugic , J. Jeknic-Dugic

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

统计力学 · 物理学 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

We analyze the evolution of a quantum Brownian particle starting from an initial state that contains correlations between this system and its environment. Using a path integral approach, we obtain a master equation for the reduced density…

量子物理 · 物理学 2009-10-30 Luciana Dávila Romero , Juan Pablo Paz

The conventional Brownian motion in harmonic systems has provided a deep understanding of a great diversity of dissipative phenomena. We address a rather fundamental microscopic description for the (linear) dissipative dynamics of…

量子物理 · 物理学 2019-01-07 Antonio A. Valido

Using a minimal-coupling-scheme we investigate the quantum Brownian motion of a particle in an anisotropic-dissipative-medium under the influence of an arbitrary potential in both relativistic and non-relativistic regimes. A general quantum…

量子物理 · 物理学 2015-06-17 Ehsan Amooghorban , Fardin Kheirandish

We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure of the system-environment coupling. Using a compact…

量子物理 · 物理学 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu

It is demonstrated that, making minimal changes in ordinary quantum mechanics, a reasonable irreversible quantum mechanics can be obtained. This theory has a more general spectral decompositions, with eigenvectors corresponding to unstable…

量子物理 · 物理学 2007-05-23 Mario Castagnino , Roberto Laura

The quantum Brownian motion paradigm provides a unified framework where one can see the interconnection of some basic quantum statistical processes like decoherence, dissipation, particle creation, noise and fluctuation. We treat the case…

广义相对论与量子宇宙学 · 物理学 2008-11-26 B. L. Hu , Andrew Matacz

We apply the restricted-path-integral (RPI) theory of non-minimally disturbing continuous measurements for correct description of frictional Brownian motion. The resulting master equation is automatically of the Lindblad form, so that the…

量子物理 · 物理学 2009-11-07 Michael B. Mensky , Stig Stenholm

Brownian motions in the infinite-dimensional group of all unitary operators are studied under strong continuity assumption rather than norm continuity. Every such motion can be described in terms of a countable collection of independent…

概率论 · 数学 2007-05-23 Boris Tsirelson

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

统计力学 · 物理学 2009-06-05 Peter Hanggi , Fabio Marchesoni

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

Using the independent oscillator model with an arbitrary system potential, we derive a quantum Brownian equation assuming a correlated total initial state. Although not of Lindblad form, the equation preserves positivity of the density…

量子物理 · 物理学 2015-06-05 Allan Tameshtit , J. E. Sipe
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