Rogue quantum harmonic oscillations

Cihan Bayındır

doi:10.1016/j.physa.2020.124462

Rogue quantum harmonic oscillations

Cihan Bayındır^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Bogazici University
CERN

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

6 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	124462
Dergi	Physica A: Statistical Mechanics and its Applications
Hacim	547
DOI'lar	https://doi.org/10.1016/j.physa.2020.124462
Yayın durumu	Yayınlandı - 1 Haz 2020

Bibliyografik not

Publisher Copyright:
© 2020 Elsevier B.V.

Belgeye Erişim

10.1016/j.physa.2020.124462

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

author = "Cihan Bayındır",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = jun,

day = "1",

doi = "10.1016/j.physa.2020.124462",

language = "English",

volume = "547",

journal = "Physica A: Statistical Mechanics and its Applications",

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TY - JOUR

T1 - Rogue quantum harmonic oscillations

AU - Bayındır, Cihan

PY - 2020/6/1

Y1 - 2020/6/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85081646559

U2 - 10.1016/j.physa.2020.124462

DO - 10.1016/j.physa.2020.124462

M3 - Article

AN - SCOPUS:85081646559

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap