Instability Zones in the Dynamics of a Quantum Mechanical Quasiperiodic Parametric Oscillator
Quantum Physics
2020-10-15 v1 Mathematical Physics
math.MP
Abstract
Quasi-periodically driven quantum parametric oscillators have been the subject of several recent investigations. Here we show that for such oscillators, the instability zones of the mean position and variance (alternatively the mean energy) for a time developing wave packet are identical for the strongest resonance in the three-dimensional parameter space of the quasi-periodic modulation as it is for the two-dimensional parameter space of the periodic modulations.
Keywords
Cite
@article{arxiv.1909.09668,
title = {Instability Zones in the Dynamics of a Quantum Mechanical Quasiperiodic Parametric Oscillator},
author = {Subhadip Biswas and Pratyusha Chowdhury and Jayanta K Bhattacharjee},
journal= {arXiv preprint arXiv:1909.09668},
year = {2020}
}