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Oscillations in a parametrically excited Bose-Einstein condensate in combined harmonic and optical lattice trap

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Verma P., Bhattacherjee A., Mohan M.

Open Physics

2012

vol. 10

issue 2

335-341

In this work, we study parametric excitations in an elongated cigar-shaped BEC in a combined harmonic trap and a time dependent optical lattice by using numerical techniques. We show that there exists a relative competition between the harmonic trap which tries to spatially localize the BEC and the time varying optical lattice which tries to delocalize the BEC. This competition gives rise to parametric excitations (oscillations of the BEC width). Regular oscillations disappear when one of the competing factors, i.e. the strength of harmonic trap or the strength of optical lattice, dominates. Parametric instabilities (chaotic dynamics) arise for large variations in the strength of the optical lattice.

Probing superfluidity of periodically trapped ultracold atoms in a cavity by transmission spectroscopy

100%

Bhattacherjee A., Kumar T., Mohan M.

Open Physics

2010

vol. 8

issue 5

850-853

We study a system of periodic Bose-condensed atoms coupled to cavity photons using the input-output formalism of [14]. We show for the first time that the cavity will either act as a through-pass Lorentzian filter when the superfluid fraction of the condensate is minimum, or completely reflect the input field when the superfluid fraction is maximum. We show that by monitoring the ratio between the transmitted field and the reflected field, one can estimate the superfluid fraction.

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2 Open Physics

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2 Bhattacherjee A.

2 Mohan M.

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Oscillations in a parametrically excited Bose-Einstein condensate in combined harmonic and optical lattice trap

Probing superfluidity of periodically trapped ultracold atoms in a cavity by transmission spectroscopy