Supersonic and subsonic shock waves in the unitary Fermi gas

Author: Salasnich L.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|96|4|40007-40007

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.96, Iss.4, 2011-11, pp. : 40007-40007

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Abstract

We investigate shock waves in the unitary Fermi gas by using the zero-temperature equations of superfluid hydrodynamics. We obtain analytical solutions for the dynamics of a localized perturbation of the uniform gas. These supersonic bright and subsonic dark solutions produce, after a transient time, an extremely large (divergent) density gradient: the shock. We calculate the time of formation of the shock and also simulate the space-time behavior of the waves by solving generalized hydrodynamic equations, which include a reliable dispersive regularization of the shock. We find that the shock spreads into wave ripples whose properties crucially depend on the chosen initial configuration.