University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Fractional diffusion of cold atoms in optical lattices

Fractional diffusion of cold atoms in optical lattices

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

FDE2 - Fractional differential equations

Fractional calculus is an old branch of mathematics which deals with fractionalorder derivatives, e.g., d1=2=dt1=2. Davidson’s group (Weizmann) has recorded the spatialdiffusion of cold atoms in optical lattices, fitting the results to the solution of a fractionaldiffusion equation@βP(x; t)@tβ = KµrµP(x; t):Within the semi classical theory of Sisyphus cooling we derive this fractional equationand discuss its meaning and its limitations [1,2]. An asymptotically weak friction force,induced by the laser field, is responsible for the large deviations from normal transporttheory (and from Boltzmann-Gibbs equilibrium concepts [3]) at least below a critical valueof the depth of the optical lattice.1. D. A. Kessler, and E. Barkai Theory of fractional-L´evy kinetics for cold atoms diffusing in optical lattices Phys. Rev. Lett. 108, 230602 (2012).2. E. Barkai, E. Aghion, and D. Kessler From the area under the Bessel excursion toanomalous diffusion of cold atoms Physical Review X 4 , 021036 (2014)3. A. Dechant, D. A. Kessler and E. Barkai Deviations from Boltzmann-Gibbs equilibrium in confined optical lattices Phys. Rev. Lett. 115, 173006 (2015).

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity