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SUMMARY:Fractional diffusion of cold atoms in optical lattices - Eli Barka
 i (Bar-Ilan University)
DTSTART:20220207T180000Z
DTEND:20220207T190000Z
UID:TALK169604@talks.cam.ac.uk
DESCRIPTION:Fractional calculus is an old branch of mathematics which deal
 s with fractionalorder derivatives\, e.g.\, d1=2=dt1=2. Davidson&rsquo\;s 
 group (Weizmann) has recorded the spatialdiffusion of cold atoms in optica
 l lattices\, fitting the results to the solution of a fractionaldiffusion 
 equation@&beta\;P(x\; t)@t&beta\; = K&micro\;r&micro\;P(x\; t):Within the 
 semi classical theory of Sisyphus cooling we derive this fractional equati
 onand discuss its meaning and its limitations [1\,2]. An asymptotically we
 ak friction force\,induced by the laser field\, is responsible for the lar
 ge deviations from normal transporttheory (and from Boltzmann-Gibbs equili
 brium concepts [3]) at least below a critical valueof the depth of the opt
 ical lattice.1. D. A. Kessler\, and E. Barkai Theory of fractional-L&acute
 \;evy kinetics for cold atoms diffusing in optical lattices Phys. Rev. Let
 t. 108\, 230602 (2012).2. E. Barkai\, E. Aghion\, and D. Kessler From the 
 area under the Bessel excursion toanomalous diffusion of cold atoms Physic
 al Review X 4\, 021036 (2014)3. A. Dechant\, D. A. Kessler and E. Barkai D
 eviations from Boltzmann-Gibbs equilibrium in confined optical lattices Ph
 ys. Rev. Lett. 115\, 173006 (2015).
LOCATION:Seminar Room 2\, Newton Institute
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