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An estimate on the number of distinct relative periodic orbits around a stable relative equilibrium in a Hamiltonian system with continuous symmetry is given. This result constitutes a generalization to the Hamiltonian symmetric framework…

微分几何 · 数学 2007-05-23 Juan-Pablo Ortega

We present a method for the calculation of asymptotic operators for nonequilibrium steady-state quantum systems. The asymptotic steady-state operator is obtained by averaging the corresponding operator in Heisenberg representation over…

统计力学 · 物理学 2009-08-14 M. F. Gelin , D. S. Kosov

In this article a non-perturbative time-dependent technique is used to treat the initial value problem, in Quantum Mechanics context, for a non-equilibrium self-interacting fermionic system in the presence of an external magnetic field.…

数学物理 · 物理学 2010-08-25 Antonio Carlos Mastine , Paulo Laerte Natti , Erica Regina Takano Natti

We introduce an alternative way to understand the decomposition of a quantum system into interacting parts and show that it is natural in several physical models. This enables us to define a reduced density operator for a working system…

量子物理 · 物理学 2022-09-08 Adam Stokes

We investigate the quantum transport of anyons in one space dimension. After establishing some universal features of non-equilibrium systems in contact with two heat reservoirs in a generalised Gibbs state, we focus on the abelian anyon…

统计力学 · 物理学 2022-04-19 Mihail Mintchev , Paul Sorba

We assess two different non-equilibrium quantum Landauer bounds: the traditional approach based on the change in entropy, referred to as the `entropic bound', and one based on the details of the dynamical map, referred to as the…

量子物理 · 物理学 2017-10-16 Steve Campbell , Giacomo Guarnieri , Mauro Paternostro , Bassano Vacchini

We derive the nonequilibrium real-time evolution of an O(N) - invariant scalar quantum field theory in the presence of a nonvanishing expectation value of the quantum field. Using a systematic 1/N expansion of the 2PI effective action to…

高能物理 - 唯象学 · 物理学 2010-02-04 G. Aarts , D. Ahrensmeier , R. Baier , J. Berges , J. Serreau

We consider a chain of anharmonic oscillators immersed in a heat bath with a temperature gradient and a time varying tension applied to one end of the chain while the other side is fixed to a point. We prove that under diffusive space-time…

概率论 · 数学 2016-05-16 Viviana Letizia , Stefano Olla

We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the initial conditions of the heat baths are…

chao-dyn · 物理学 2016-08-31 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

We consider the nonequilibrium evolution of an O(N)-symmetric scalar quantum field theory using a systematic two-particle irreducible 1/N-expansion to next-to-leading order, which includes scattering and memory effects. The corresponding…

高能物理 - 唯象学 · 物理学 2017-08-23 J. Berges , M. M. Muller

We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to…

数学物理 · 物理学 2024-03-18 Jan van Neerven , Pierre Portal

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of…

chao-dyn · 物理学 2009-10-31 Jean-Pierre Eckmann , Martin Hairer

We look at the equilibrium of a Brownian particle in an inhomogeneous space following the alternative approach proposed in ref.[1]. We consider a coordinate dependent damping that makes the stochastic dynamics the one with multiplicative…

统计力学 · 物理学 2014-10-07 Avik Biswas , A. Bhattacharyay

We introduce a dynamical evolution operator for dealing with unstable physical process, such as scattering resonances, photon emission, decoherence and particle decay. With that aim, we use the formalism of rigged Hilbert space and…

量子物理 · 物理学 2018-07-16 Marcelo Losada , Sebastian Fortin , Manuel Gadella , Federico Holik

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

量子物理 · 物理学 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We consider a quantum linear oscillator coupled to a bath in equilibrium at an arbitrary temperature and then exposed to an external field arbitrary in form and strength. We then derive the reduced density operator in closed form of the…

统计力学 · 物理学 2015-05-18 Ilki Kim

Harmonic oscillator, in 2-dimensional noncommutative phase space with non-vanishing momentum-momentum commutators, is studied using an algebraic approach. The corresponding eigenvalue problem is solved and discussed.

数学物理 · 物理学 2011-08-09 Mahouton Norbert Hounkonnou , Dine Ousmane Samary

Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by…

高能物理 - 理论 · 物理学 2007-05-23 M. Yoshimura

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

高能物理 - 唯象学 · 物理学 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

统计力学 · 物理学 2007-05-23 V. G. Morozov , Gerd Ropke