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29 March 2024
 
  » arxiv » 1105.3100

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Chern numbers hiding in time-of-flight images
Erhai Zhao ; Noah Bray-Ali ; Carl J. Williams ; I. B. Spielman ; Indubala I. Satija ;
Date 16 May 2011
AbstractWe present a novel technique for detecting topological invariants -- Chern numbers -- from time-of-flight images of ultra-cold neutral atoms. The Chern number of fermions in a lattice potential depends on magnetic field (for neutral atoms, generated by an artificial magnetic field) and the chemical potential; we find that the Chern numbers leave their fingerprints as oscillations in the atoms’ momentum distribution. The signature is strikingly enhanced for anisotropic hopping, where we show the momentum distribution assumes a sinusoidal form with period determined by the Chern number.
Source arXiv, 1105.3100
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