Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation

Abstract

We discuss the zero-temperature hydrodynamics equations of bosonic and fermionic superfluids and their connection with generalized Gross-Pitaevskii and Ginzburg-Landau equations through a single superfluid nonlinear Schrodinger equation.

4 pages, no figures, prepared for the Special Issue of Laser Physics: Physics of Cold Trapped Atoms; in the second version corrected some typos; in the third version added some useful comments. To be published in Laser Physics (April 2009)

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Cited by in corpus (28)

• DC Josephson Effect with Fermi gases in the Bose-Einstein regime
• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Transition to quantum turbulence in a finite size superfluid
• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Turbulent superfluid as continuous vortex mixture
• Supersonic and subsonic shock waves in the unitary Fermi gas
• Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
• Rotating quantum turbulence in the unitary Fermi gas
• Validating Simple Dynamical Simulations of the Unitary Fermi Gas
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Surface Effects in the Unitary Fermi Gas
• Viscosity-entropy ratio of the unitary Fermi gas from zero-temperature elementary excitations
• Gradient corrections to the local density approximation for trapped superfluid Fermi gases
• Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Quantum wave representation of dissipative fluids
• Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
• Stability and collapse of fermions in a binary dipolar boson-fermion 164Dy-161Dy mixture
• Shock waves in a quasi one-dimensional Bose-Einstein condensate
• Crow instability in unitary Fermi gas
• Dispersive effects in the unitary Fermi gas
• Critical velocity, vortex shedding and drag in a unitary Fermi superfluid
• Electrodynamics of superconductors: from Lorentz to Galilei at zero temperature
• Dark solitons in the unitary Bose gas
• Negative electrohydrostatic pressure between superconducting bodies
• Generation of vortex dipoles in superfluid Fermi gas in BCS limit
• Schrödinger-Navier-Stokes equation for capillary fluids
• Superfluid hydrodynamics of polytropic gases:dimensional reduction and sound velocity