Sub-Fourier characteristics of a $\delta$-kicked rotor resonance
| Autor: | Rajendra Shrestha, Ishan Talukdar, Gil Summy |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Physics
Condensed matter physics General Physics and Astronomy Inverse 01 natural sciences Resonance (particle physics) Quantum chaos 010305 fluids & plasmas law.invention Physics - Atomic Physics Standing wave symbols.namesake Fourier transform law 0103 physical sciences symbols Atomic physics 010306 general physics Scaling Bose–Einstein condensate Energy (signal processing) |
| Popis: | We experimentally investigate the sub-Fourier behavior of a $\delta$-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. Comment: 4 pages, 5 figures |
| Databáze: | OpenAIRE |
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