Quantum interference and sub-Poissonian statistics for time-modulated driven dissipative nonlinear oscillator
Abstract
We show that quantum-interference phenomena can be realized for the dissipative nonlinear systems exhibiting hysteresis-cycle behavior and quantum chaos. Such results are obtained for a driven dissipative nonlinear oscillator with time-dependent parameters and take place for the regimes of long time intervals exceeding dissipation time and for macroscopic levels of oscillatory excitation numbers. Two schemas of time modulation: (i) periodic variation of the strength of the {\chi}(3) nonlinearity; (ii) periodic modulation of the amplitude of the driving force, are considered. These effects are obtained within the framework of phase-space quantum distributions. It is demonstrated that the Wigner functions of oscillatory mode in both bistable and chaotic regimes acquire negative values and interference patterns in parts of phase-space due to appropriately time-modulation of the oscillatory nonlinear dynamics. It is also shown that the time-modulation of the oscillatory parameters essentially improves the degree of sub-Poissonian statistics of excitation numbers.
Cite
@article{arxiv.1005.2763,
title = {Quantum interference and sub-Poissonian statistics for time-modulated driven dissipative nonlinear oscillator},
author = {T. V. Gevorgyan and A. R. Shahinyan and G. Yu. Kryuchkyan},
journal= {arXiv preprint arXiv:1005.2763},
year = {2015}
}