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Zeitschrift für Physik A Hadrons and Nuclei

Excitations in the quantum condensated fermion gas

Gerhart Lüders

Published Oct 1, 1972• 1 citation
Publisher
DOI
10.1007/bf01379679

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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)(>>1)(>>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.
We investigate the possibilities for the generation of solitons and vortices in a degenerate gas of neutral fermionic atoms. In analogy with the already experimentally demonstrated technique applied to a gaseous Bose-Einstein condensate we propose the phase engineering of a Fermi gas as a practical route to excited states with solitons and vortices. We stress that solitons and vortices appear even in a non-interacting fermionic gas. For solitons, in a system with a sufficiently large number of fermions and appropriate trap configuration, the Pauli blocking acts as the interaction between particles.