From rotating atomic rings to quantum Hall states.

Scientific Reports
M RoncagliaJean Dalibard

Abstract

Considerable efforts are currently devoted to the preparation of ultracold neutral atoms in the strongly correlated quantum Hall regime. However, the necessary angular momentum is very large and in experiments with rotating traps this means spinning frequencies extremely near to the deconfinement limit; consequently, the required control on parameters turns out to be too stringent. Here we propose instead to follow a dynamic path starting from the gas initially confined in a rotating ring. The large moment of inertia of the ring-shaped fluid facilitates the access to large angular momenta, corresponding to giant vortex states. The trapping potential is then adiabatically transformed into a harmonic confinement, which brings the interacting atomic gas in the desired quantum-Hall regime. We provide numerical evidence that for a broad range of initial angular frequencies, the giant-vortex state is adiabatically connected to the bosonic ν = 1/2 Laughlin state.

References

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Jul 5, 2002·Physical Review Letters·P RosenbuschJ Dalibard
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Apr 7, 2010·Physical Review Letters·M RoncagliaJ I Cirac
Aug 20, 2010·Nature·Jacob F ShersonStefan Kuhr

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Citations

Jan 31, 2014·Nature·Lindsay J LeBlanc
Jan 1, 2018·Journal of Statistical Physics·Elliott H LiebJakob Yngvason
Jun 7, 2019·Nature·Saurabh PandeyWolf von Klitzing
May 14, 2016·Physical Review Letters·Douglas Lundholm, Nicolas Rougerie
Nov 26, 2014·Reports on Progress in Physics·N GoldmanI B Spielman

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