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

Other Condensed Matter 2015-06-24 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/0406020,
  title  = {Exact scaling transform for a unitary quantum gas in a time dependent harmonic potential},
  author = {Yvan Castin},
  journal= {arXiv preprint arXiv:cond-mat/0406020},
  year   = {2015}
}

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submitted 23 March 2004