Chaotic resonances of a Bose-Einstein condensate in a cavity pumped by a modulated optical field

M. Diver, G. R. M. Robb, and G.-L. Oppo
Phys. Rev. A 91, 033622 – Published 19 March 2015

Abstract

We present a theoretical analysis of a Bose-Einstein condensate (BEC) enclosed in an optical cavity driven by a modulated external laser beam where the cavity field variable is adiabatically eliminated. The modulation of the amplitude of the pump laser induces nonlinear resonances and the widespread presence of chaotic oscillations even when repulsive atom-atom interactions are negligible. Close to resonance, varying the modulation amplitude by just a few percent causes abrupt and erratic changes to the output laser intensity with peak power increasing by almost an order of magnitude. We also use a simplified model of the BEC-cavity system that considers only a small number of spatial modes of the BEC to show that, despite the disruptive presence of a modulation in the pump beam, the system can still be considered to be low-dimensional.

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  • Received 6 October 2014
  • Revised 28 January 2015

DOI:https://doi.org/10.1103/PhysRevA.91.033622

©2015 American Physical Society

Authors & Affiliations

M. Diver*, G. R. M. Robb, and G.-L. Oppo

  • Institute of Complex Systems, SUPA and Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland

  • *Corresponding author: martin.diver@strath.ac.uk

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Vol. 91, Iss. 3 — March 2015

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