Probing the Linear and Nonlinear Excitations of Bose-condensed Neutral Atoms in a Trap

Document Type

Article

Publication Date

11-1996

Publication Title

Physical Review A

DOI

10.1103/PhysRevA.54.4178

ISSN

2469-9926

Abstract

We investigate the response of a Bose-Einstein condensate of trapped, neutral atoms to weak and strong sinusoidal perturbation of the trapping potential both by solving the Bogoliubov equations and by direct integration of the time-dependent, driven Ginzburg-Pitaevskii-Gross equation. We find that the distortion of the condensate is maximal when the frequency of the perturbation equals one of the mode positions of the condensate’s excitation spectrum. On resonance, the condensate exhibits a strong nonlinear response that can be used as a clear signature of the mode frequency in an experiment where the trap potential is weakly perturbed. For strong driving, we find evidence for an array of nonlinear effects such as harmonic generation and frequency mixing. These phenomena are the matter-wave analogs of conventional nonlinear optics and should be straightforward to study in evaporatively cooled samples of alkali-metal atoms.

Comments

Authors have the right to use all or part of the Article, including the APS-prepared version without revision or modification, on the author(s)’ web home page or employer’s website. (source: http://journals.aps.org/authors/transfer-of-copyright-agreement) Article obtained from Physical Review A.

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