Fundamental aspects of quantum Brownian motion

P Hänggi, GL Ingold - Chaos: An Interdisciplinary Journal of Nonlinear …, 2005 - pubs.aip.org
With this work we elaborate on the physics of quantum noise in thermal equilibrium and in
stationary nonequilibrium. Starting out from the celebrated quantum fluctuation-dissipation …

The Schrödinger–Langevin equation with and without thermal fluctuations

R Katz, PB Gossiaux - Annals of Physics, 2016 - Elsevier
Abstract The Schrödinger–Langevin equation (SLE) is considered as an effective open
quantum system formalism suitable for phenomenological applications involving a quantum …

Lyapunov equation in open quantum systems and non-Hermitian physics

A Purkayastha - Physical Review A, 2022 - APS
The continuous-time differential Lyapunov equation is widely used in linear optimal control
theory, a branch of mathematics and engineering. In quantum physics, it is known to appear …

Effects of temperature and electric field induced phase transitions on the dynamics of polarons and bipolarons

LA Ribeiro, WF da Cunha, PH de Oliveria Neto… - New Journal of …, 2013 - pubs.rsc.org
The stability of charge carriers in conjugated polymers is investigated in terms of a
nonadiabatic evolution method by using an extended version of the Su–Schrieffer–Heeger …

Langevin dynamics for rigid bodies of arbitrary shape

X Sun, T Lin, JD Gezelter - The Journal of chemical physics, 2008 - pubs.aip.org
We present an algorithm for carrying out Langevin dynamics simulations on complex rigid
bodies by incorporating the hydrodynamic resistance tensors for arbitrary shapes into an …

Langevin dynamics with dichotomous noise; direct simulation and applications

D Barik, PK Ghosh, DS Ray - Journal of Statistical Mechanics …, 2006 - iopscience.iop.org
We consider the motion of a Brownian particle moving in a potential field and driven by
dichotomous noise with exponential correlation. Traditionally, the analytic as well as the …

Nonequilibrium phase transition in an open quantum spin system with long-range interaction

M Jo, J Um, B Kahng - Physical Review E, 2019 - APS
We investigate a nonequilibrium phase transition in a dissipative and coherent quantum
spin system using the quantum Langevin equation and mean-field theory. Recently, the …

Quantum state-dependent diffusion and multiplicative noise: a microscopic approach

D Barik, DS Ray - Journal of Statistical Physics, 2005 - Springer
The state-dependent diffusion, which concerns the Brownian motion of a particle in
inhomogeneous media has been described phenomenologically in a number of ways …

Parametrizing linear generalized Langevin dynamics from explicit molecular dynamics simulations

F Gottwald, S Karsten, SD Ivanov… - The Journal of chemical …, 2015 - pubs.aip.org
Fundamental understanding of complex dynamics in many-particle systems on the atomistic
level is of utmost importance. Often the systems of interest are of macroscopic size but can …

In biased and soft-walled channels: Insights into transport phenomena and damped modulation

W Fan, M Hu, L Feng, X Luo, Y Lu, J Bao - The Journal of Chemical …, 2024 - pubs.aip.org
The motion of a particle along a channel of finite width is known to be affected by either the
presence of energy barriers or changes in the bias forces along the channel direction. By …