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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.


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.

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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

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