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We show how to adapt the approach introduced for viscous damping in [1] to derive the approximate amplitude decay in the case of damping by a force of constant magnitude (sliding friction) and in the case of damping by a force proportional…

Classical Physics · Physics 2025-09-05 Karlo Lelas , Robert Pezer

We showed that in Lamb-Dicke regime and under rotating wave approximation, the dynamical behavior of two trapped ions interacting with a laser beam resonant to the first red side-band of center-of-mass mode can be described by…

Quantum Physics · Physics 2007-05-23 Hao-Sheng Zeng , Le-Man Kuang , Ke-Lin Gao

Dissipation, the irreversible loss of energy and coherence, from a microsystem, is the result of coupling to a much larger macrosystem (or reservoir) which is so large that one has no chance of keeping track of all of its degrees of…

Quantum Physics · Physics 2008-11-26 M. B. Plenio , P. L. Knight

For a relativistic particle under a constant force and a linear velocity dissipation force, a constant of motion is found. Problems are shown for getting the Hamiltoninan of this system. Thus, the quantization of this system is carried out…

Quantum Physics · Physics 2011-08-19 Gustavo López , Xaman-Ek López , Hector Hernández

Motivated by a recent work by Terashima (Phys. Rev. D60 084001), we revisit the fluctuation-dissipation (FD) relation between the dissipative coefficient of a detector and the vacuum noise of fields in curved spacetime. In an explicit…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Tsukasa Murata , Keiji Tsunoda , Kazuhiro Yamamoto

We construct generally applicable small-loss rate expansions for the density operator of an open system. Successive terms of those expansions yield characteristic loss rates for dissipation processes. Three applications are presented in…

Quantum Physics · Physics 2009-11-06 X. X. Yi , C. Li , J. C. Su

In this work, we present a multiple-scale perturbation technique suitable for the study of open quantum systems, which is easy to implement and in few iterative steps allows us to find excellent approximate solutions. For any time-local…

Quantum Physics · Physics 2019-04-30 D. N. Bernal-García , B. A. Rodríguez , H. Vinck-Posada

We describe the physical hypotheses underlying the derivation of an approximate model of water waves. For unidirectional surface shallow water waves moving over an irrotational flow as well as over a non-zero vorticity flow, we derive the…

Mathematical Physics · Physics 2007-11-30 Delia Ionescu-Kruse

We study the dynamics of an one dimensional array of Jaynes-Cummings-Hubbard system of arbitrary number of coupled cavities, each containing a two level atom that interacts with a field mode. In particular, we consider propagation of a…

Quantum Physics · Physics 2011-03-04 R. Chakrabarti , G. Sreekumari

We consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive equations. The unperturbed dynamical system has a bound state, a spatially localized and time periodic solution. We…

chao-dyn · Physics 2009-10-31 A. Soffer , M. I. Weinstein

The study points out that the traditional solutions to wave equation of dissipative wave and motion equation of block for a multi-degree-of-freedom mass spring damper system are the possible solutions, which are not necessarily objective…

Classical Physics · Physics 2022-01-21 Peng Shi

Based on the time-convolutionless master-equation approach, we investigate squeezing of light field in a dissipative Jaynes-Cummings model. The results show that squeezing light can be generated when the atom transits to a ground state from…

Quantum Physics · Physics 2019-01-17 Hong-Mei Zou , Mao-Fa Fang

We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov-Arnol'd-Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart from dissipation at just one end. We derive…

Dynamical Systems · Mathematics 2017-10-20 Noé Cuneo , Jean-Pierre Eckmann , C. Eugene Wayne

We modify the Glauber dynamics of the Curie-Weiss model with dissipation in Dai Pra, Fischer, Regoli[2013] by considering arbitrary transition rates and we analyze the phase-portrait as well as the dynamics of moderate fluctuations for…

Probability · Mathematics 2020-05-27 Francesca Collet , Richard C. Kraaij

In this paper, a fractional generalization of the wave equation that describes propagation of damped waves is considered. In contrast to the fractional diffusion-wave equation, the fractional wave equation contains fractional derivatives of…

Mathematical Physics · Physics 2021-03-12 Yuri Luchko

We prove a quantum version of the Sabine law from acoustics describing the location of resonances in transmission problems. This work extends the author's previous work to a broader class of systems. Our main applications are to scattering…

Analysis of PDEs · Mathematics 2018-11-28 Jeffrey Galkowski

Very recently, a new decay framework has been given by [51] for linearized dissipative hyperbolic systems satisfying the Kawashima-Shizuta condition on the framework of Besov spaces, which allows to pay less attention on the traditional…

Analysis of PDEs · Mathematics 2014-10-21 Jiang Xu , Shuichi Kawashima

A class of shape-invariant bound-state problems which represent two-level systems are introduced. It is shown that the coupled-channel Hamiltonians obtained correspond to the generalization of the Jaynes-Cummings Hamiltonian.

Quantum Physics · Physics 2008-11-26 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

We consider the resonant van der Waals interaction between two correlated identical two-level atoms (at least one of which being excited) within the framework of macroscopic cavity quantum electrodynamics in linear, dispersing and absorbing…

Quantum Physics · Physics 2018-05-09 Saeideh Esfandiarpour , Robert Bennett , Hassan Safari , Stefan Yoshi Buhmann

In the viewpoint of quasi normal modes, we describe a novel decoherence mechanism of charge qubit of Josephson Junctions (JJ) in a lossy micro-cavity, which can appear in the realistic experiment for quantum computation based on JJ qubit.…

Quantum Physics · Physics 2009-11-10 Y. B. Gao , Y. D. Wang , C. P. Sun
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