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Pré-Publication, Document De Travail Année : 2015

The interaction-sensitive states of a trapped two-component ideal Fermi gas

Yvan Castin

Résumé

We consider a two-component ideal Fermi gas in an isotropic harmonic potential. Some eigenstates have a wavefunction that vanishes when two distinguishable fermions are at the same location, and would be unaffected by s-wave contact interactions between the two components. We determine the other, interaction-sensitive eigenstates, using a Faddeev ansatz. This problem is non trivial, due to degeneracies and to the existence of unphysical Faddeev solutions. We present some applications to the fourth-order cluster or virial coefficient of the unitary Fermi gas.
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Dates et versions

hal-01246611 , version 1 (18-12-2015)
hal-01246611 , version 2 (08-04-2016)
hal-01246611 , version 3 (24-05-2016)
hal-01246611 , version 4 (14-02-2017)
hal-01246611 , version 5 (08-01-2021)

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Shimpei Endo, Yvan Castin. The interaction-sensitive states of a trapped two-component ideal Fermi gas. 2015. ⟨hal-01246611v1⟩
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