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SUMMARY:Detecting fractional chern insulators of few-bosons - Cécile Repe
 llin (CNRS Grenoble)
DTSTART:20210617T130000Z
DTEND:20210617T140000Z
UID:TALK156313@talks.cam.ac.uk
CONTACT:Jan Behrends
DESCRIPTION:Realizing strongly correlated topological phases of ultracold 
 gases is a central goal for ongoing experiments. While fractional quantum 
 Hall states could soon be implemented in small atomic ensembles\, detectin
 g their signatures in few-particle settings remains a fundamental challeng
 e. In this work\, we numerically analyze the center-of-mass Hall drift of 
 a small ensemble of hardcore bosons\, initially prepared in the ground sta
 te of the Harper-Hofstadter-Hubbard model in a box potential. By monitorin
 g the Hall drift upon release\, for a wide range of magnetic flux values\,
  we identify an emergent Hall plateau compatible with a fractional Chern i
 nsulator state: The extracted Hall conductivity approaches a fractional va
 lue determined by the many-body Chern number\, while the width of the plat
 eau agrees with the spectral and topological properties of the prepared gr
 ound state. Besides\, a direct application of Streda's formula indicates t
 hat such Hall plateaus can also be directly obtained from static density-p
 rofile measurements. Our calculations suggest that fractional Chern insula
 tors can be detected in cold-atom experiments\, using available detection 
 methods.
LOCATION:Details of video conferencing will be distributed nearer the time
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