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

Using numerical simulation based on a densityfunctional 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 sta...

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Bibliographic Details
Published in:Laser physics letters 2009-12, Vol.6 (12), p.901-905
Main Author: Adhikari, S.K.
Format: Article
Language:English
Subjects:
BCS-unitarity crossover
Classical and quantum physics: mechanics and fields
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Fermi super-fluid
Fermion systems and electron gas
Matter waves
Physics
Quantum statistical mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Theories and models of many electron systems
universal scaling
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Summary:Using numerical simulation based on a densityfunctional 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 (∼4 – 10) of fermions. (© 2009 by Astro Ltd., Published exclusively by WILEY‐VCH Verlag GmbH & Co. KGaA)
ISSN:1612-2011
1612-202X
DOI:10.1002/lapl.200910090