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Rogue quantum harmonic oscillations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2020Embargo end date: 01 Feb 2019 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 547, page 124,462 (issn: 0378-4371, Copyright policy )
Authors: Bayındır, Cihan;

doi: 10.1016/j.physa.2020.124462 , 10.13140/rg.2.2.21457.58725 , 10.48550/arxiv.1902.08823

arXiv: 1902.08823

Rogue quantum harmonic oscillations

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.

Related Organizations
Keywords

Quantum Physics, modulation instability, rogue waves, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Quantum Physics (quant-ph), Nonlinear Sciences - Pattern Formation and Solitons, Statistical mechanics, structure of matter, nonlinear quantum harmonic oscillator, Gross-Pitaevskii equation

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    		 4
    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green
bronze