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We study transient thermal processes in infinite harmonic crystals with complex (polyatomic) lattice. Initially particles have zero displacements and random velocities such that distribution of temperature is spatially uniform. Initial…

Statistical Mechanics · Physics 2019-06-24 Vitaly A. Kuzkin

We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a $d$-dimensional array of fixed soft scatterers that each possess an internal…

Statistical Mechanics · Physics 2015-05-20 S. De Bievre , P. E. Parris

This Chapter introduces QCD at finite temperature and density. We first present the formulation of the thermal theory in the Euclidean path integral formalism. We then describe how the strong dynamics at high temperature can be inspected…

High Energy Physics - Phenomenology · Physics 2026-02-24 Matteo Bresciani

On the basis of the f-deformed oscillator formalism, we propose to construct nonlinear coherent states for Hamiltonian systems having linear and quadratic terms in the the number operator by means of the two following definitions: i) as…

Quantum Physics · Physics 2015-12-03 R. Román-Ancheyta , J. Récamier

The question of whether sunlight induces coherent dynamics in biological systems is under debate. Here we show, on the basis of an exact fully quantum mechanical treatment, that thermal light induces excited-state coherences in matter…

Quantum Physics · Physics 2015-05-04 David Avisar , Asaf Eilam , A. D. Wilson-Gordon

We investigate the connection between thermal light and coherent pulses, constructing mixtures of single pulses that yield the same first-order, equal-space-point correlation function as thermal light. We present mixtures involving (i)…

Quantum Physics · Physics 2015-10-28 Aurélia Chenu , Agata M. Brańczyk , J. E. Sipe

Stuart-Landau limit-cycle oscillators are a paradigm in the study of coherent and incoherent limit cycles. In this work, we generalize the standard Stuart-Landau dimer model to include effects due to an inertia-like term and noise and study…

Statistical Mechanics · Physics 2021-11-05 Jung-Wan Ryu , Alexandre Lazarescu , Rahul Marathe , Juzar Thingna

The general transformation of the product of coherent states $\prod_{i=1}^N|\alpha_i>$ to the output state $\prod_{i=1}^M|\beta_i>$ ($N=M$ or $N\neq M$), which is realizable with linear optical circuit, is characterized with a linear map…

Quantum Physics · Physics 2008-05-21 Bing He , János A. Bergou

The temperature of an oscillator coupled to the vacuum state of a heat bath via ohmic coupling is non-zero, as measured by the reduced density matrix of the oscillator. This paper shows that the actual temperature, as measured by a…

Quantum Physics · Physics 2015-05-30 William G. Unruh

We provide an explicit analytical calculation that shows the asymptotic approach of the one dimensional Caldeira-Leggett model to thermal equilibrium in the high temperature and weak coupling limit. We investigate a free particle and a…

Quantum Physics · Physics 2015-05-13 Fethi M Ramazanoglu

Coherent states for general systems with discrete spectrum, such as the bound states of the hydrogen atom, are discussed. The states in question satisfy: (1) continuity of labeling, (2) resolution of unity, (3) temporal stability, and (4)…

Quantum Physics · Physics 2007-05-23 John R. Klauder

On the example of a free massless and conformally coupled scalar field, it is argued that in quantum field theory in curved spacetimes with time-like Killing field, the corresponding KMS states (generalized Gibbs ensembles) at parameter…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Christoph Solveen

Optical pump-probe signals can be viewed as work done by the matter while transferring the energy between two coherent baths (from pump to probe). In thermodynamics a heat engine, such as laser, is a device which performs similar work but…

Quantum Physics · Physics 2021-04-14 Md Qutubuddin , Konstantin E. Dorfman

We study the problem of a potential interaction of a finite-dimensional Lagrangian system (an oscillator) with a linear infinite-dimensional one (a thermostat). In spite of the energy preservation and the Lagrangian (Hamiltonian) nature of…

Dynamical Systems · Mathematics 2009-12-08 Dmitry Treschev

A low density binary mixture of granular gases is considered within the Boltzmann kinetic theory. One component, the intruders, is taken to be dilute with respect to the other, and thermal segregation of the two species is described for a…

Statistical Mechanics · Physics 2013-05-06 J. Javier Brey , Nagi Khalil , James W. Dufty

A mesoscopic system of cylindrical geometry made of a metal or a semiconductor is shown to exhibit features of a quantum coherent state. It is shown that magnetostatic interaction can play an important role in mesoscopic systems leading to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Zipper , M. Lisowski

We construct a system of coherent states for the hydrogen atom that is expressed in terms of elementary functions. Unlike to the previous attempts in this direction, this system possesses the properties equivalent to the most of those for…

Quantum Physics · Physics 2009-11-06 Semyon Pol'shin

Bohr and Heisenberg suggested that the thermodynamical quantities of temperature and energy are complementary in the same way as position and momentum in quantum mechanics. Roughly speaking, their idea was that a definite temperature can be…

Statistical Mechanics · Physics 2007-05-23 J. Uffink , J. H. van Lith-van Dis

We present a mechanism for thermalizing a moving particle by microscopic deterministic scattering. As an example, we consider the periodic Lorentz gas. We modify the collision rules by including energy transfer between particle and…

chao-dyn · Physics 2009-10-31 R. Klages , K. Rateitschak , G. Nicolis

The emergence of the chimera state as counterintuitive spatial coexistence of synchronous and asynchronous regimes is addressed here in a continuum chemical oscillator system by implementing a relevant complex Ginzburg-Landau equation with…

Adaptation and Self-Organizing Systems · Physics 2024-12-11 Premashis Kumar , Gautam Gangopadhyay