Virtues and flaws of the Pauli potential

doi:10.1088/1751-8113/41/3/035308

Virtues and flaws of the Pauli potential

J Taruna et al 2008 J. Phys. A: Math. Theor. 41 035308 (14pp) doi: 10.1088/1751-8113/41/3/035308

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J Taruna¹, J Piekarewicz¹ and M A Pérez-García²
¹ Department of Physics, Florida State University, Tallahassee, FL 32306, USA
² Departamento de Física Fundamental and Instituto Universitario de Física Fundamental y Matemáticas, Plaza de la Merced s/n, Universidad de Salamanca E-37008 Salamanca, Spain
E-mail: yutri@fermi.physics.fsu.edu, jorgep@csit.fsu.edu and mperezga@usal.es

Abstract. Quantum simulations of complex fermionic systems suffer from a variety of challenging problems. In an effort to circumvent these challenges, simpler 'semi-classical' approaches have been used to mimic fermionic correlations through a fictitious 'Pauli potential'. In this contribution we examine two issues. First, we address some of the inherent difficulties in a widely used version of the Pauli potential. Second, we refine such a potential in a manner consistent with the most basic properties of a cold Fermi gas, such as its momentum distribution and its two-body correlation function.

PACS numbers: 26.60.-c, 24.10.Lx

Print publication: Issue 3 (25 January 2008)
Received 25 July 2007, in final form 29 November 2007
Published 4 January 2008

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