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This review provides a brief and quick introduction to the quantum Langevin equation for an oscillator, while focusing on the steady-state thermodynamic aspects. A derivation of the quantum Langevin equation is carefully outlined based on…

统计力学 · 物理学 2024-07-19 Aritra Ghosh , Malay Bandyopadhyay , Sushanta Dattagupta , Shamik Gupta

We use the Quantum Langevin equation as a starting point to study the response function, the position-velocity correlation function and the velocity autocorrelation function of a charged Quantum Brownian particle in the presence of a…

统计力学 · 物理学 2022-03-10 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

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

This article discusses the numerical result predicted by the quantum Langevin equation of the generalized diffusion function of a Brownian particle immersed in an Ohmic quantum bath of harmonic oscillators. The time dependence of the…

量子物理 · 物理学 2019-12-03 Pedro J. Colmenares

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

高能物理 - 理论 · 物理学 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

A wide variety of dissipative and fluctuation problems involving a quantum system in a heat bath can be described by the independent-oscillator (IO) model Hamiltonian. Using Heisenberg equations of motion, this leads to a generalized…

量子物理 · 物理学 2009-11-11 R. F. O'Connell

With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipation theorem we discuss some important consequences that must…

量子物理 · 物理学 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

The motion of a quantum particle hopping on a simple cubic lattice under the influence of thermal noise and of a static random potential is expected to be diffusive, i.e., the particle is expected to exhibit `quantum Brownian motion', no…

数学物理 · 物理学 2017-09-22 Jürg Fröhlich , Jeffrey Schenker

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the…

统计力学 · 物理学 2022-08-31 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with…

量子物理 · 物理学 2009-11-13 ILki Kim , Guenter Mahler

We consider a microscopic model of an inhomogeneous environment where an arbitrary quantum system is locally coupled to a harmonic bath via a finite-range interaction. We show that in the overdamped regime the position distribution obeys a…

统计力学 · 物理学 2025-02-28 Arthur M. Faria , Marcus V. S. Bonanca , Eric Lutz

The Brownian motion of a particle immersed in a medium of charged particles is considered when the system is placed in magnetic or electric fields. Coming from the Zwanzig-Caldeira-Legget particle-bath model, we modify it so that not only…

统计力学 · 物理学 2020-09-24 Vladimir Lisy , Jana Tothova

We derive a quantum Langevin equation for a quantum spin in the presence of a magnetic field and study its dynamics in the Markovian limit using the Ohmic bath model. We extend our analysis to the Drude bath with a finite memory. We study…

量子物理 · 物理学 2022-08-30 Suraka Bhattacharjee , Koushik Mandal , Supurna Sinha

In this paper we study the nonequilibrium evolution of a quantum Brownian oscillator, modeling the internal degree of freedom of a harmonic atom or an Unruh-DeWitt detector, coupled to a nonequilibrium, nonstationary quantum field and…

量子物理 · 物理学 2022-01-11 Jen-Tsung Hsiang , Bei-Lok Hu

Within a microscopic theory, we study the quantum Brownian motion of a skyrmion in a magnetic insulator coupled to a bath of magnon-like quantum excitations. The intrinsic skyrmion-bath coupling gives rise to damping terms for the skyrmion…

介观与纳米尺度物理 · 物理学 2019-10-09 Christina Psaroudaki , Pavel Aseev , Daniel Loss

We derive a general quantum formula giving the mean-square displacement of a diffusing particle as a function of time. Near {\bf 0 K} we find a universal logarithmic behavior (valid for times longer than the relaxation time), and deviations…

统计力学 · 物理学 2009-11-11 Supurna Sinha , Rafael D. Sorkin

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 propose a Langevin equation to describe the quantum Brownian motion of bounded particles based on a distinctive formulation concerning both the fluctuation and dissipation forces. The fluctuation force is similar to that employed in the…

统计力学 · 物理学 2020-04-22 Mário J. de Oliveira

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

The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that…

量子物理 · 物理学 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold
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