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We theoretically study the decoherence of a two-level quantum system coupled to noisy environments exhibiting linear and quadratic fluctuations within the framework of a stochastic Liouville equation. It is shown that the intrinsic energy…

Quantum Physics · Physics 2024-07-26 Xiangji Cai , Yanyan Feng , Jing Ren , Yonggang Peng , Yujun Zheng

Quantum fluctuations are inherent in open quantum systems and they affect not only the statistical properties of the initial state but also the time evolution of the system. Using a generic minimal model, we show that quantum noise…

Quantum Gases · Physics 2024-12-17 Richelle Jade L. Tuquero , Jayson G. Cosme

Building upon the work of Hu, Paz, and Zhang [1,2] on open quantum systems we consider the quantum Brownian motion (QBM) model with one oscillator (position variable $x$) as the system, {\it nonlinearly} coupled to an environment of $N$…

Quantum Physics · Physics 2026-02-23 Hing-Tong Cho , Bei-Lok Hu

We employ a quantum Langevin equation approach to establish non-Markovian dynamical equations, on a fully microscopic basis, to investigate the measurement of the state of a coupled quantum dot qubit by a nearby quantum point contact. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Bing Dong , Norman J. M. Horing , X. L. Lei

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

Statistical Mechanics · Physics 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi

The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predictions for a variety of reasons. We present a model…

Mathematical Physics · Physics 2019-08-28 Martin Fraas , Gian Michele Graf , Lisa Hänggli

The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a…

Quantum Physics · Physics 2009-10-31 L. Accardi , S. V. Kozyrev

The presence of geometric phases is known to affect the dynamics of the systems involved. Here we consider a quantum degree of freedom, moving in a dissipative environment, whose dynamics is described by a Langevin equation with quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-06 Alexander Shnirman , Yuval Gefen , Arijit Saha , Igor S. Burmistrov , Mikhail N. Kiselev , Alexander Altland

We derive a generalized quantum Langevin equation and its fluctuation-dissipation relation describing the quantum dynamics of a tagged particle interacting with a medium (environment), where both the particle and the environment are driven…

Quantum Physics · Physics 2025-07-11 Daniele Gamba , Bingyu Cui , Alessio Zaccone

We consider an open (Brownian) classical harmonic oscillator in contact with a non-Markovian thermal bath and described by the generalized Langevin equation. When the bath's spectrum has a finite upper cutoff frequency, the oscillator may…

Statistical Mechanics · Physics 2022-02-02 Alex V. Plyukhin

The non-Markovian dynamics of a charged particle linearly coupled to a neutral bosonic heat bath is investigated in an external uniform magnetic field. The analytical expressions for the time-dependent and asymptotic friction and diffusion…

Quantum Physics · Physics 2019-01-16 I. B. Abdurakhmanov , Z. Kanokov , G. G. Adamian , N. V. Antonenko

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

One of the most fundamental problems in optomechanical cooling is how small the thermal phonon number of a mechanical oscillator can be achieved under the radiation pressure of a proper cavity field. Different from previous theoretical…

Quantum Physics · Physics 2017-06-12 Bing He , Liu Yang , Qing Lin , Min Xiao

Optomechanical systems subjected to environmental noise give rise to rich physical phenomena. We investigate entanglement between a mechanical oscillator and the reflected coherent optical field in a general, not necessarily Markovian…

Quantum Physics · Physics 2025-09-11 Su Direkci , Klemens Winkler , Corentin Gut , Markus Aspelmeyer , Yanbei Chen

System of the quantum Langevin equations for two quantum coupling oscillators within independent heat baths of quantum oscillators are obtained using a model Hamiltonian and corresponding Heisenberg equations of motion. Expressions for mean…

Quantum Physics · Physics 2017-08-02 Illarion Dorofeyev

We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Kjetil Borkje

The equation of state (EOS) of the solar interior is accurately and smoothly determined from \textit{ab initio} simulations named quantum Langevin molecular dynamics (QLMD) in the pressure range of $58 \leq P \leq 4.6\times10^5$ Mbar at the…

Solar and Stellar Astrophysics · Physics 2013-03-26 Jiayu Dai , Yong Hou , Jianmin Yuan

We study the dynamics of a dissipative two-level, system driven by a monochromatic ac field, starting from the usual spin-boson Hamiltonian. The quantum Langevin equations for the spin variables are obtained. The amplitude of the coherent…

Statistical Mechanics · Physics 2009-10-30 T. P. Pareek , Mangal C. Mahato , A. M. Jayannavar

The motion of a free quantum particle in a thermal environment is usually described by the quantum Langevin equation, where the effect of the bath is encoded through a dissipative and a noise term, related to each other via the fluctuation…

Statistical Mechanics · Physics 2020-12-16 Avijit Das , Abhishek Dhar , Ion Santra , Urbashi Satpathi , Supurna Sinha

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…

Quantum Physics · Physics 2011-06-29 C. H. Fleming , Albert Roura , B. L. Hu