Computer simulation of quantum systems with friction and feedback

Dynamics of wave packets in quantum systems subjected to a friction force and impulse feedback is investigated in context of Schrödinger-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 theirmeans, 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.