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Exact scaling transform for a unitary quantum gas in a time dependent harmonic potential

Yvan Castin
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Abstract

A unitary quantum gas is a gas of quantum particles with a binary interaction of infinite scattering length and negligible range. It has been produced in recent experiments with gases of fermionic atoms by means of a Feshbach resonance. Using the Fermi pseudo-potential model for the atomic interaction, we show that the time evolution of such a gas in an isotropic three-dimensional time dependent harmonic trap is exactly given by a gauge and scaling transform.

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Yvan Castin. 2004-06-01. Exact scaling transform for a unitary quantum gas in a time dependent harmonic potential. https://arxiv.org/abs/cond-mat/0406020

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