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Shock waves in cold Fermi atoms Alexander G. Abanov , Stony Brook University, DMR 0906866. We considered the collision of two clouds of ultracold Fermi atoms of 6 Li in elongated magnetic trap. Interactions between Li atoms were magnetically tuned to extremely strong ones.
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Shock waves in cold Fermi atomsAlexander G. Abanov, Stony Brook University, DMR 0906866 We considered the collision of two clouds of ultracold Fermi atoms of 6Li in elongated magnetic trap. Interactions between Li atoms were magnetically tuned to extremely strong ones. It was shown that in the limit of extreme interactions the Fermi gas behaves as a fluid. Simulating the behavior of the gas by one-dimensional hydrodynamic equations we identified the sharp boundaries between regions with high and low densities of atoms as shock waves. The agreement between numeric solutions and the actual data obtained in J. Thomas’ lab is very good. This allows to make conclusion on the nature of shock waves (conventional) and obtain estimates of an effective viscosity of the quantum Li gas used in the experiment. Time dynamics of the density of two colliding clouds obtained experimentally. Red color labels regions with high densities. A snapshot of the density profile at t=6ms. Sharp boundaries are identified as conventional shock waves. Corresponding 1d density profiles. Red dots are the data for 1d integrated density obtained experimentally. The black curve is the result of solution of 1d hydro equations. Good agreement shows the applicability of hydro description.
Shock waves in cold Fermi atomsAlexander G. Abanov, Stony Brook University, DMR 0906866 a) b) Final projects for the courses given by A. Abanov. Posters prepared by high school students of Krasnoyarsk Summer School are on a) sailing knots, b) relation between knots and braids and on c) the analysis of Escher’s pictures from the point of view of hyperbolic plane. • A. G. Abanov has continued to actively engage in outreach and education. In July-August 2012 he taught mathematics and physics in Krasnoyarsk Summer School for gifted high school students (Russia, Siberia). He gave lectures to students introducing noneuclidian geometry and gave a course “Knots and Braids” involving lectures and hand-on sessions on mathematics and practical applications of knots. c)