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Quantum-Atom Optics Downunder (QAO)

Fano Resonance and Quantum Localization of a Bose-Einstein condensate in an Optical Lattice

Joachim Brand

Published Jan 1, 2007• 0 citations
Publisher

Abstract

We consider the localization of matter waves in an optical lattice due to nonlinear interactions. We show that even below classical thresholds, localization is still possible due to quantum fluctuations or 'entanglement' between constituent bosons. Furthermore, we point out that interesting Fano resonances in the scattering of single atoms on such localized states may occur due to coherent interactions with the matter-wave field.

DOI
10.1364/qao.2007.qthd3

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We consider the localization of matter waves in an optical lattice due to nonlinear interactions. We show that even below classical thresholds, localization is still possible due to quantum fluctuations or 'entanglement' between constituent bosons. Furthermore, we point out that interesting Fano resonances in the scattering of single atoms on such localized states may occur due to coherent interactions with the matter-wave field.
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In this study, a standing wave in an optical nano cavity with Bose-Einstein Condensate (BEC) constitutes one dimensional optical lattice potential in the presence of finite two bodies atomic interaction. We report that interaction of a BEC with standing field in an optical cavity coherently evolve to exhibit Fano resonances in the output field at probe frequency. The behavior of the reported resonance shows an excellent compatibility with the original formulation of asymmetric resonance as discovered by Ugo Fano. Based on our analytical and numerical results, we find that the Fano resonances and subsequently electromagnetically induced transparency of the probe pulse can be controlled through the intensity of the cavity standing wave field and the strength of the atom-atom interaction in the BEC. In addition, enhancement of the slow light effect by the strength of the atom-atom interaction and its robustness against the condensate fluctuations are realizable using presently available technology.
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