Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates.

Robertson, Scott and Michel, Florent and Parentani, Renaud (2018) 'Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates.', Physical review D., 98 (5). 056003.

Abstract

We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we observe an exponential growth of the number of resonant longitudinal phonons, in agreement with the predictions of the Bogoliubov–de Gennes treatment. We then observe an ordered sequence of phenomena induced by the nonlinearities of the system. The first is a loss of the nonseparability of the resonant phonon pairs. This is followed by the saturation of the exponential growth and a strong depletion of condensed atoms. Notably, these effects are well described by effective one-dimensional dynamics, and are hardly affected by the damping of the radial oscillations. Finally, the atomic spectrum becomes broad, featureless and almost incoherent, in agreement with experimental results. The link between this sequence of events and the preheating scenario in inflationary cosmology is striking, as is the similarity of techniques used to study them.

Item Type:Article
Full text:(VoR) Version of Record
First Live Deposit - 21 September 2018
Download PDF
(948Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1103/PhysRevD.98.056003
Publisher statement:Reprinted with permission from the American Physical Society: Robertson, Scott, Michel, Florent & Parentani, Renaud (2018). Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates. Physical Review D 98(5): 056003. © (2018) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Record Created:21 Sep 2018 13:58
Last Modified:21 Sep 2018 14:47

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Look up in GoogleScholar | Find in a UK Library