Elements of Dynamics of a One-Dimensional Trapped Bose–Einstein Condensate Excited by a Time-Dependent Dimple: A Lagrangian Variational Approach
| Autor: | Roger R. Sakhel, Asaad R. Sakhel |
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| Rok vydání: | 2017 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Quantum fluid Resonance Equations of motion Condensed Matter Physics 01 natural sciences Atomic and Molecular Physics and Optics 010305 fluids & plasmas law.invention Classical mechanics Variational method law Dimple Excited state Quantum mechanics Quasiperiodic function 0103 physical sciences General Materials Science 010306 general physics Bose–Einstein condensate |
| Zdroj: | Journal of Low Temperature Physics. 190:120-140 |
| ISSN: | 1573-7357 0022-2291 |
| Popis: | We examine the dynamics of a one-dimensional harmonically trapped Bose–Einstein condensate (BEC), induced by the addition of a dimple trap whose depth oscillates with time. For this purpose, the Lagrangian variational method (LVM) is applied to provide the required analytical equations. The goal is to provide an analytical explanation for the quasiperiodic oscillations of the BEC size at resonance, that is additional to the one given by Adhikari (J Phys B At Mol Opt Phys 36:1109, 2003). It is shown that LVM is able to reproduce instabilities in the dynamics along the same lines outlined by Lellouch et al. (Phys Rev X 7:021015, 2017). Moreover, it is found that at resonance the energy dynamics display ordered oscillations, whereas at off-resonance they tend to be chaotic. Further, by using the Poincare–Lindstedt method to solve the LVM equation of motion, the resulting solution is able to reproduce the quasiperiodic oscillations of the BEC. |
| Databáze: | OpenAIRE |
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