A Fermion-like description of condensed Bosons in a trap

Details A Fermion-like description of condensed Bosons in a trap A Fermion-like description of condensed Bosons in a trap

1996-06-18

arxiv.org/abs/cond-mat/9606131v1

Physics

Condensed Matter

11 pages, REVTEX

Scientific paper

A Bose-Einstein condensate of atoms, trapped in an axially symmetric harmonic potential, is considered. By averaging the spatial density along the symmetry direction over a length that preserves the aspect ratio, the system may be mapped on to a zero temperature noninteracting Fermi-like gas. The ``mock fermions'' have a state occupancy factor $(>>1)$ proportional to the ratio of the coherance length to the ``hard-core'' radius of the atom. The mapping reproduces the ground state properties of the condensate, and is used to estimate the vortex excitation energy analytically. The ``mock-fermion'' description predicts some novel collective excitation in the condensed phase.

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