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Physics Letters A

Oscillatory motion in confined potential systems with dissipation in the context of the Schrödinger–Langevin–Kostin equation

Andrey L. Sanin, A. A. Smirnovsky

Published Jul 17, 2007• 19 citations
Publisher
DOI
10.1016/j.physleta.2007.07.019

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COMPUTER SIMULATION OF QUANTUM SYSTEMS WITH FRICTION AND FEEDBACK

A. Sanin, A. A. Smirnovsky

Dynamics of wave packets in quantum systems subjected to a friction force and impulse feedback is investigated in context of Schrodinger-Langevin-Kostin (SchLK) equation. The quantum systems with a quadratic potential bounded by impenetrable walls of a well are presented as examples. Numerical simulations are carried out for initial Gaussian packet at varied values of a friction coefficient and amplitudes of the impulse feedback. Informative and structural properties of the wave packets are analyzed by using Fourier transform of dynamical variables and their means, of autocorrelation Nauenberg's function. Coherent oscillations of the wave packets and transition to chaotic dynamics are found. Influence of friction on oscillatory dynamics is discussed.

•Jan 1, 2014•0 citations
Quantum dynamics of wave packet in one-dimensional system with distributed potential and dissipation is investigated in context of Schrodinger-Langevin-Kostin equation. Quadratic potential and double well potential bounded by external impenetrable walls are represented as examples. Numerical simulations are carried out for initial Gaussian packet at different values of dissipation parameters. For the quantum oscillator with dissipation the asymptotic dynamical limit in time is established. The mean values of coordinate and velocity tend to zero but uncertainty relation tends to minimal value 0.5 (in atomic units). Oscillations and resonances at external time-dependent action were studied. Dynamical properties of system with double well potential are investigated at different frequencies of external action. Fourier spectra of mean coordinate are characterized by sharply expressed singular components.
Dynamics of wave packets in quantum systems subjected to a friction force and impulse feedback is investigated in context of Schrodinger-Langevin-Kostin (SchLK) equation. The quantum systems with a quadratic potential bounded by impenetrable walls of a well are presented as examples. Numerical simulations are carried out for initial Gaussian packet at varied values of a friction coefficient and amplitudes of the impulse feedback. Informative and structural properties of the wave packets are analyzed by using Fourier transform of dynamical variables and their means, of autocorrelation Nauenberg's function. Coherent oscillations of the wave packets and transition to chaotic dynamics are found. Influence of friction on oscillatory dynamics is discussed.