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When are two fermions a simple boson? New Gross-Pitaevskii actions for cold Fermi condensates

arXiv
Authors: Ray J. Rivers, D. A. Steer, Chi-Yong Lin, Da-Shin Lee, David J. Weir

Year

2016

Paper ID

43518

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

The BEC regime of a cold fermi gas is characterised by coupled atoms (dimers) which, superficially, look like elementary bosons. We examine how simply-bosonic they really are; firstly, in the Bogoliubov approximation and further, through new actions for the BEC regime in which dimers are represented by coupled Gross-Pitaevskii fields. We find identity at the level of the Bogoliubov approximation in the deep BEC regime, permitting a simple Gross-Pitaevskii description. This fails rapidly as we move towards the BCS regime. However, even in the deep BEC regime there is an intrinsic difference if we go beyond the Bogoliubov approximation. To exemplify this we construct vortex solutions.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • The BEC regime of a cold fermi gas is characterised by coupled atoms (dimers) which, superficially, look like elementary bosons.

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