Universal scaling in a trapped Fermi super-fluid in the BCS-unitarity crossover

Abstract

Using numerical simulation based on a density-functional equation for a trapped Fermi super-fluid valid along the BCS-unitarity crossover, we establish robust scaling over many orders of magnitude in the observables of the system as a function of fermion number. This scaling allows to predict the static properties of the system, such as energy, chemical potential, etc., for a large number of fermions, over the crossover, from the knowledge of those for a small number ($\sim 4-10$) of fermions.

4 pages, 4 figures, Contribution to the 18th International Laser Physics Workshop, Barcelona, Spain, July 13 - 17, 2009

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Cited by in corpus (15)

• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover
• Supersonic and subsonic shock waves in the unitary Fermi gas
• Formation and structure of vortex lattices in a rotating double-well Bose-Einstein condensate
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Localization of a Bose-Fermi mixture in a bichromatic optical lattice
• Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice
• BCS-BEC crossover in a trapped Fermi super-fluid using a density-functional equation
• 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
• Dynamical Universal Behavior in Quantum Chaotic Systems
• Effective equations for repulsive quasi-1D BECs trapped with anharmonic transverse potentials
• Collective modes in the anisotropic unitary Fermi gas and the inclusion of a backflow term
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Dispersive effects in the unitary Fermi gas