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We derive a new perturbative quantum master equation for the reduced density matrix of a system interacting with an environment (with a dense spectrum of energy levels). The total system energy (system plus environment) is constant and…

统计力学 · 物理学 2007-05-23 Massimiliano Esposito , Pierre Gaspard

The explicit semiclassical treatment of logarithmic perturbation theory for the bound-state problem within the framework of the Dirac equation is developed. Avoiding disadvantages of the standard approach in the description of exited…

量子物理 · 物理学 2009-10-31 I. V. Dobrovolska , R. S. Tutik

A quasiparticle description of various condensed media is a very popular tool in study of their transport and thermodynamic properties. I present here a microscopic theory for the description of diffusion processes in two-component gas of…

统计力学 · 物理学 2009-11-07 Alexander V. Zhukov

A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a formally exact solution which we subject to a…

光学 · 物理学 2009-10-31 Petr A. Braun , Daniel Braun , Fritz Haake , Joachim Weber

Semi-classical theories are approximations to quantum theory that treat some degrees of freedom classically and others quantum mechanically. In the usual approach, the quantum degrees of freedom are described by a wave function which…

量子物理 · 物理学 2020-06-03 Ward Struyve

The behavior of spin-1/2 particle in a weak static gravitational field is considered. The Dirac Hamiltonian is diagonalized by the Foldy-Wouthuysen transformation providing also the simple form for the momentum and spin polarization…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A. J. Silenko , O. V. Teryaev

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, for the case when the…

量子物理 · 物理学 2009-11-13 A. Isar , W. Scheid

The non-equilibrium dynamics of electrons is of a great experimental and theoretical value providing important microscopic parameters of the Coulomb and electron-phonon interactions in metals and other cold plasmas. Because of the…

超导电性 · 物理学 2008-11-19 V. V. Kabanov , A. S. Alexandrov

We develop a perturbation theory of quantum (and classical) master equations with slowly varying parameters, applicable to systems which are externally controlled on a time scale much longer than their characteristic relaxation time. We…

量子物理 · 物理学 2017-08-09 Vasco Cavina , Andrea Mari , Vittorio Giovannetti

We study decoherence, diffusion, friction, and how they thermalize a planar rotor in the presence of an external potential. Representing the quantum master equation in terms of auxiliary Wigner functions in periodic phase space not only…

量子物理 · 物理学 2025-04-30 Birthe Schrinski , Yoon Jun Chan , Björn Schrinski

We investigate the occurrence of vibrational resonance in both classical and quantum mechanical Morse oscillators driven by a biharmonic force. The biharmonic force consists of two forces of widely different frequencies \omega and \Omega…

混沌动力学 · 物理学 2015-06-15 K. Abirami , S. Rajasekar , M. A. F. Sanjuan

We propose a new representation for several quantum master equations in so-called quasithermodynamic form. This representation (when it exists) let one to write down dynamical equations both for diagonal and non-diagonal elements of density…

量子物理 · 物理学 2014-08-21 E. D. Vol

We study the Dirac equation with slowly varying external potentials. Using matrix-valued Wigner functions we prove that the electron follows with high precision the classical orbit and that the spin precesses according to the BMT equation…

量子物理 · 物理学 2009-10-31 Herbert Spohn

Solutions of semi-classical Schrodinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus…

偏微分方程分析 · 数学 2016-08-14 Rémi Carles

We investigate the classical limit of quantum master equations featuring double-bracket dissipators. Specifically, we consider dissipators defined by double commutators, which describe dephasing dynamics, as well as dissipators involving…

量子物理 · 物理学 2026-01-30 Ankit W. Shrestha , Budhaditya Bhattacharjee , Adolfo del Campo

We employ the method of the theory of open quantum systems to analyze spin relaxation and decoherence in semiconductors in the presence of a magnetic field. We derive a set of Bloch equations for electron spin with a fully microscopic…

凝聚态物理 · 物理学 2007-05-23 Vadim I. Puller , Lev G. Mourokh , Norman J. M. Horing , Anatoly Yu. Smirnov

Quantum effects in statistical mechanics are important when the thermal wavelength is of the order of, or greater than, the mean interatomic spacing. This is examined at depth taking the example of a hard-sphere Boltzmann gas. Using the…

统计力学 · 物理学 2009-11-11 R. K. Bhaduri , W. van Dijk , M. K. Srivastava

We derive semiclassical laser equations valid in all orders of nonlinearity. With the help of a diagrammatic representation, the perturbation series in powers of electric field can be resummed in terms of a certain class of diagrams. The…

光学 · 物理学 2010-02-23 Oleg Zaitsev , Lev Deych

We present a semiclassical analysis for a dissipative quantum map with an area-nonpreserving classical limit. We show that in the limit of Planck's constant to 0 the trace of an arbitrary natural power of the propagator is dominated by…

chao-dyn · 物理学 2009-10-31 Daniel Braun , Petr A. Braun , Fritz Haake

We introduce a technique for testing the semiclassical limit of a quantum gravity vertex amplitude. The technique is based on the propagation of a semiclassical wave packet. We apply this technique to the newly introduced "flipped" vertex…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Elena Magliaro , Claudio Perini , Carlo Rovelli