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Rogue quantum harmonic oscillations
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...
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| Lenguaje: | eng |
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2019
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| Acceso en línea: | https://dx.doi.org/10.1016/j.physa.2020.124462 http://cds.cern.ch/record/2723988 |
| _version_ | 1780965961865625600 |
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| author | Bayindir, Cihan A. |
| author_facet | Bayindir, Cihan A. |
| author_sort | Bayindir, Cihan A. |
| collection | CERN |
| description | 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. |
| id | cern-2723988 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2019 |
| record_format | invenio |
| spelling | cern-27239882023-10-04T06:29:42Zdoi:10.1016/j.physa.2020.124462http://cds.cern.ch/record/2723988engBayindir, Cihan A.Rogue quantum harmonic oscillationsnlin.PSNonlinear Systemsquant-phGeneral Theoretical PhysicsWe 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.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.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.arXiv:1902.08823oai:cds.cern.ch:27239882019-02-23 |
| spellingShingle | nlin.PS Nonlinear Systems quant-ph General Theoretical Physics Bayindir, Cihan A. Rogue quantum harmonic oscillations |
| title | Rogue quantum harmonic oscillations |
| title_full | Rogue quantum harmonic oscillations |
| title_fullStr | Rogue quantum harmonic oscillations |
| title_full_unstemmed | Rogue quantum harmonic oscillations |
| title_short | Rogue quantum harmonic oscillations |
| title_sort | rogue quantum harmonic oscillations |
| topic | nlin.PS Nonlinear Systems quant-ph General Theoretical Physics |
| url | https://dx.doi.org/10.1016/j.physa.2020.124462 http://cds.cern.ch/record/2723988 |
| work_keys_str_mv | AT bayindircihana roguequantumharmonicoscillations |