Rogue Quantum Harmonic Oscillations
Quantum Physics
2020-04-22 v1 Pattern Formation and Solitons
Abstract
We show the existence and investigate the dynamics and statistics of rogue oscillations (standing waves) generated in the frame of the nonlinear quantum harmonic oscillator (NQHO). With this motivation, in this paper, we develop a split-step Fourier scheme for the computational analysis of NQHO. We show that modulation instability excites the generation of rogue oscillations in the frame of the NQHO. We also discuss the effects of various parameters such as the strength of trapping well potential, nonlinearity, dissipation, fundamental wave number and perturbation amplitude on rogue oscillation formation probabilities.
Keywords
Cite
@article{arxiv.1902.08823,
title = {Rogue Quantum Harmonic Oscillations},
author = {Cihan A. Bayindir},
journal= {arXiv preprint arXiv:1902.08823},
year = {2020}
}