Supersonic and subsonic shock waves in the unitary Fermi gas

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.

5 pages, 3 figures, accepted for publication in EPL

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• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
• Fermionic shock waves - dissipative or dispersive?
• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• Anisotropic sound and shock waves in dipolar Bose-Einstein condensate
• Universal shock-wave propagation in one-dimensional Bose fluids
• Phase-induced transport in atomic gases: from superfluid to Mott insulator
• Emulation of lossless exciton-polariton condensates by dual-core optical waveguides: Stability, collective modes, and dark solitons
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
• Shock waves in a quasi one-dimensional Bose-Einstein condensate
• Dynamics of shock waves in a superfluid unitary Fermi gas
• Crow instability in unitary Fermi gas
• Transition from supersonic to subsonic waves in superfluid Fermi gases
• Dispersive effects in the unitary Fermi gas
• Shock waves in colliding Fermi gases at finite temperature
• Study of a degenerate dipolar Fermi gas of 161Dy atoms
• Generation of vortex dipoles in superfluid Fermi gas in BCS limit
• Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach