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arXiv · 1004.0683

Sub-Fourier characteristics of a $δ$-kicked rotor resonance

I. Talukdar·R. Shrestha·G. S. Summy
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Abstract

We experimentally investigate the sub-Fourier behavior of a $δ$-kicked rotor resonance by performing a measurement of the fidelity or overlap of a Bose-Einstein condensate (BEC) exposed to a periodically pulsed standing wave. The temporal width of the fidelity resonance peak centered at the Talbot time and zero initial momentum exhibits an inverse cube pulse number ($1/N^{3}$) dependent scaling compared to a $1/N^{2}$ dependence for the mean energy width at the same resonance. A theoretical analysis shows that for an accelerating potential the width of the resonance in acceleration space depends on $1/N^{3}$, a property which we also verify experimentally. Such a sub-Fourier effect could be useful for high precision gravity measurements.

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I. Talukdar, R. Shrestha, G. S. Summy. 2010-05-03. Sub-Fourier characteristics of a $δ$-kicked rotor resonance. https://doi.org/10.1103/physrevlett.105.054103

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