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A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the configurations of locked solutions (equilibria) and how the…

Chaotic Dynamics · Physics 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

The dynamics of a particle interacting with random classical field in a two-well potential is studied by the functional integration method. The probability of particle localization in either of the wells is studied in detail. Certain…

Quantum Physics · Physics 2008-05-08 G. B. Lesovik , A. V. Lebedev , A. O. Imambekov

The physics of many closed, conservative systems can be described by both classical and quantum theories. The dynamics according to classical theory is symplectic and admits linear instabilities which would initially seem at odds with a…

Quantum Physics · Physics 2024-01-08 Michael Q. May , Hong Qin

We investigate the quantization of a free particle coupled linearly to a harmonic oscillator. This system, whose classical counterpart has clearly separated regular and chaotic regions, provides an ideal framework for studying the…

Chaotic Dynamics · Physics 2009-11-13 Thomas Mainiero , Mason A. Porter

We address the effects of dissipative defects giving rise to a localized particle loss, in one-dimensional non-interacting lattice fermionic gases confined within a region of size $\ell$. We consider homogeneous systems within hard walls…

Quantum Gases · Physics 2022-05-10 Francesco Tarantelli , Ettore Vicari

On the basis of extensive numerical studies it is argued that there are strong analogies between the probabilistic behavior of quantum systems defined by Hermitian Hamiltonians and the deterministic behavior of classical mechanical systems…

High Energy Physics - Theory · Physics 2010-05-28 Carl M. Bender , Dorje C. Brody , Daniel W. Hook

Treating the ideal coherent state as a reference state, the effects due to departure from coherence of an initial wave packet propagating through a nonlinear medium, were examined, specifically in the context of non-classical effects such…

Quantum Physics · Physics 2007-07-09 C. Sudheesh

There is currently intensive research into creating a large-scale quantum computer with trapped ions. It is well known that for a linear ion crystal in a harmonic potential, the ions near the center are more closely spaced compared to the…

Quantum Physics · Physics 2017-01-13 S. R. Bastin , Tony E. Lee

Weak value is increasingly acknowledged as an important research tool for probing quantum pre- and post-selected ensembles, where some extraordinary phenomena occur. We generalize this concept to the broader notion of "weak potential" which…

Quantum Physics · Physics 2013-01-14 Yakir Aharonov , Eliahu Cohen , Shay Ben-Moshe

We study quantum particle dynamics in a box and driven by PT-symmetric, delta-kicking complex potential. Such dynamical characteristics as the average kinetic energy as function of time and quasi-energy at different values of the kicking…

Quantum Physics · Physics 2019-01-15 J. Yusupov , S. Rakhmanov , D. U. Matrasulov , H. Susanto

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions.…

Quantum Physics · Physics 2024-05-30 E. Aldo Arroyo

We consider scenarios where the dynamics of a quantum system are partially determined by prior local measurements of some interacting environmental degrees of freedom. The resulting effective system dynamics are described by a disordered…

Quantum Physics · Physics 2024-05-06 Šárka Blahnik , Sarah Shandera

We study the nonequilibrium dynamics of two particles confined in two spatially separated harmonic potentials and linearly coupled to the same thermally fluctuating scalar field, a cartoon for optically trapped colloids in contact with a…

Statistical Mechanics · Physics 2022-10-12 Davide Venturelli , Andrea Gambassi

We analyze the quantum dynamics of a non-relativistic particle moving in a bounded domain of physical space, when the boundary conditions are rapidly changed. In general, this yields new boundary conditions, via a dynamical composition law…

Quantum Physics · Physics 2013-05-16 Manuel Asorey , Paolo Facchi , Giuseppe Marmo , Saverio Pascazio

We study classical and quantum dynamics of a kicked relativistic particle confined in a one dimensional box. It is found that in classical case for chaotic motion the average kinetic energy grows in time, while for mixed regime the growth…

Quantum Physics · Physics 2018-09-05 J. R. Yusupov , D. M. Otajanov , V. E. Eshniyazov , D. U. Matrasulov

A growing number of dynamical situations involve the coupling of particles or singularities with physical waves. In principle these situations are very far from the wave-particle duality at quantum scale where the wave is probabilistic by…

Quantum Physics · Physics 2014-02-07 Stéphane Perrard , Matthieu Labousse , Marc Miskin , Emmanuel Fort , Yves Couder

In quantum mechanics, a classical particle is raised to a wave-function, thereby acquiring many more degrees of freedom. For instance, in the semi-classical regime, while the position and momentum expectation values follow the classical…

Quantum Physics · Physics 2023-11-10 Etera R. Livine

In this paper we consider the dynamics of harmonically-confined atomic gases. We present various general results which are independent of particle statistics, interatomic interactions and dimensionality. Of particular interest is the…

Quantum Gases · Physics 2014-03-13 Z. Wu , E. Zaremba

In this article we review properties of Gaussian states and describe operations on them. The interaction of the electromagnetic field with an absorbing dielectric as a special type of environmental interaction will serve as the basis for…

Quantum Physics · Physics 2007-05-23 Stefan Scheel , Dirk-Gunnar Welsch

The modification of the effect of interactions of a particle as a function of its pre- and postselected states is analyzed theoretically and experimentally. The universality property of this modification in the case of local interactions of…