Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates

Vidanovic I, Al-Jibbouri H, Balaz A, Pelster A (2012)
Physica Scripta T149: 14003.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Vidanovic, Ivana; Al-Jibbouri, Hamid; Balaz, Antun; Pelster, AxelUniBi
Abstract / Bemerkung
We analytically and numerically study nonlinear dynamics in Bose-Einstein condensates (BECs) induced either by a harmonic modulation of the interaction or by the geometry of the trapping potential. To analytically describe BEC dynamics, we use a perturbative expansion based on the Poincare-Lindstedt analysis of a Gaussian variational ansatz, whereas in the numerical approach we use numerical solutions of both a variational system of equations and the full time-dependent Gross-Pitaevskii equation. The harmonic modulation of the atomic s-wave scattering length of a BEC of Li-7 was achieved recently via Feshbach resonance, and such a modulation leads to a number of nonlinear effects, which we describe within our approach: mode coupling, higher harmonics generation and significant shifts in the frequencies of collective modes. In addition to the strength of atomic interactions, the geometry of the trapping potential is another key factor for the dynamics of the condensate, as well as for its collective modes. The asymmetry of the confining potential leads to important nonlinear effects, including resonances in the frequencies of collective modes of the condensate. We study in detail such geometric resonances and derive explicit analytic results for frequency shifts for the case of an axially symmetric condensate with two- and three-body interactions. Analytically obtained results are verified by extensive numerical simulations.
Erscheinungsjahr
2012
Zeitschriftentitel
Physica Scripta
Band
T149
Art.-Nr.
14003
ISSN
0031-8949
eISSN
1402-4896
Page URI
https://pub.uni-bielefeld.de/record/2501838

Zitieren

Vidanovic I, Al-Jibbouri H, Balaz A, Pelster A. Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates. Physica Scripta. 2012;T149: 14003.
Vidanovic, I., Al-Jibbouri, H., Balaz, A., & Pelster, A. (2012). Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates. Physica Scripta, T149, 14003. doi:10.1088/0031-8949/2012/T149/014003
Vidanovic, I., Al-Jibbouri, H., Balaz, A., and Pelster, A. (2012). Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates. Physica Scripta T149:14003.
Vidanovic, I., et al., 2012. Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates. Physica Scripta, T149: 14003.
I. Vidanovic, et al., “Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates”, Physica Scripta, vol. T149, 2012, : 14003.
Vidanovic, I., Al-Jibbouri, H., Balaz, A., Pelster, A.: Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates. Physica Scripta. T149, : 14003 (2012).
Vidanovic, Ivana, Al-Jibbouri, Hamid, Balaz, Antun, and Pelster, Axel. “Parametric and geometric resonances of collective oscillation modes in Bose-Einstein condensates”. Physica Scripta T149 (2012): 14003.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Suchen in

Google Scholar