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We consider a spin-boson Hamiltonian which is generalized such that the Hamiltonians for the system ($\hat{H}_{\cal S}$) and the interaction with the environment ($\hat{H}_{\rm int}$) do not commute with each other. Considering a…

Quantum Physics · Physics 2015-03-19 Hoofar Daneshvar , G. W. F. Drake

Understanding nonsecular dynamics in open quantum systems is addressed here, with emphasis on systems with large numbers of Bohr frequencies, zero temperature, and fast driving. We employ the master equation, which replaces arithmetic…

Quantum Physics · Physics 2022-11-15 Dragomir Davidovic

Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular…

Quantum Physics · Physics 2017-10-09 O. de los Santos-Sánchez , J. Récamier , R. Jáuregui

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

We use a configuration-interaction approach and Fermi golden rule to investigate electron-phonon interaction in realistic multi-electron quantum dots. Lifetimes are computed in the low-density, highly correlated regime. We report numerical…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Bertoni , M. Rontani , G. Goldoni , E. Molinari

We address the time decay of the Loschmidt echo, measuring sensitivity of quantum dynamics to small Hamiltonian perturbations, in one-dimensional integrable systems. Using semiclassical analysis, we show that the Loschmidt echo may exhibit…

Exactly Solvable and Integrable Systems · Physics 2014-02-19 Remy Dubertrand , Arseni Goussev

A master equation for the deformed quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived in the microscopic model by using perturbation theory. The coefficients of the master…

Quantum Physics · Physics 2009-11-13 A. Isar , W. Scheid

The quantum dynamics of a low-dimensional system in contact with a large but finite harmonic bath is theoretically investigated by coarse-graining the bath into a reduced set of effective energy states. In this model, the couplings between…

Chemical Physics · Physics 2024-01-29 Loïse Attal , Cyril Falvo , Florent Calvo , Pascal Parneix

We study the stability and the modes of non -- isothermal coronal loop models with different intensity values of the equilibrium twisted magnetic field.We use an energy principle obtained via non -- equilibrium thermodynamic arguments. The…

Astrophysics · Physics 2009-11-13 A. Costa , R. Gonzalez

Based on the momentum-resolved Boltzmann equation, we provide self-consistent numerical calculations of the dynamics of conduction electrons in thin noble metal films after linear and non-linear optical excitations with infrared and…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Jonas Grumm , Malte Selig , Holger Lange , Andreas Knorr

The out-of-equilibrium excess conductance of electron-glasses typically relaxes with a logarithmic time-dependence. Here it is shown that the log(t) relaxation of a weakly-disordered amorphous indium-oxide films crosses-over asymptotically…

Disordered Systems and Neural Networks · Physics 2018-06-04 Z. Ovadyahu

We examine energy relaxation of non-equilibrium quasiparticles in different vortex configurations in ``dirty'' $s$-wave superconductors. The heat flow from the electronic subsystem to phonons in a mesoscopic superconducting disk with a…

We propose a hydrodynamic model to study the thermotransport properties of semiconductor electrons. From the semiclassical Boltzmann equation a set of balance equations is built for the relevant fields. The electron density, the electron…

Statistical Mechanics · Physics 2009-07-13 A. Rangel-Huerta , M. A. Rodriguez-Meza

Consider a linear autonomous Hamiltonian system with a time periodic bound state solution. In this paper we study the structural instability of this bound state ^M relative to time almost periodic perturbations which are small, localized…

Pattern Formation and Solitons · Physics 2009-09-25 Eduard Kirr , Michael I. Weinstein

A fully quantum multiphonon up-pumping model is proposed to characterize coherent energy transfer in energetic materials (EMs) subjected to external shock. After eliminating the degrees of freedom of the phonon bath within a mean-field…

Quantum Physics · Physics 2026-05-20 Jiong Cheng , Yanqiang Yang , Wenlin Li , Xun Li

We present two quantum-classical hybrid methods for simulating the time-dependence of electron-phonon systems that treat electronic correlations numerically exactly and optical-phonon degrees of freedom classically. These are a…

Strongly Correlated Electrons · Physics 2026-04-14 Heiko Georg Menzler , Suman Mondal , Fabian Heidrich-Meisner

We derive the steady-state electron distribution function for a semiconductor driven far from equilibrium by the inter-band photoexcitation assumed homogeneous over the nanoscale sample. Our analytical treatment is based on the…

Statistical Mechanics · Physics 2007-05-23 Navinder Singh , N. Kumar

A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

Chemical Physics · Physics 2011-06-30 Navinder Singh , Paul Brumer

We continue the study of the operator of generalized Maxwell equations and completely discover the behavior of the solutions of the time-harmonic equations as the frequency tends to zero. Thereby, we identify degenerate operators in terms…

Analysis of PDEs · Mathematics 2011-05-23 Dirk Pauly

We present a general master equation, correct to second order in the system-environment coupling strength, that takes into account the initial system-environment correlations. We assume that the system and its environment are in a joint…

Quantum Physics · Physics 2021-10-13 Ali Raza Mirza , Muhammad Zia , Adam Zaman Chaudhry
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