Rogue quantum harmonic oscillations

Cihan Bayındır

doi:10.1016/j.physa.2020.124462

Rogue quantum harmonic oscillations

Cihan Bayındır^*

^*Corresponding author for this work

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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), also known as the Gross–Pitaevskii equation (GPE). 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.

Original language	English
Article number	124462
Journal	Physica A: Statistical Mechanics and its Applications
Volume	547
DOIs	https://doi.org/10.1016/j.physa.2020.124462
Publication status	Published - 1 Jun 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Gross–Pitaevskii equation
Modulation instability
Nonlinear quantum harmonic oscillator
Rogue waves

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10.1016/j.physa.2020.124462

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title = "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), also known as the Gross–Pitaevskii equation (GPE). 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 = "Gross–Pitaevskii equation, Modulation instability, Nonlinear quantum harmonic oscillator, Rogue waves",

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AU - Bayındır, Cihan

PY - 2020/6/1

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AB - 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), also known as the Gross–Pitaevskii equation (GPE). 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.

KW - Gross–Pitaevskii equation

KW - Modulation instability

KW - Nonlinear quantum harmonic oscillator

KW - Rogue waves

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SN - 0378-4371

VL - 547

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

M1 - 124462

ER -

Rogue quantum harmonic oscillations

Abstract

Bibliographical note

Keywords

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