Virial theorems for trapped cold atoms

Felix Werner (1)

1 LKB (Lhomond) - Laboratoire Kastler Brossel

We present a general virial theorem for quantum particles with arbitrary zero-range or finite-range interactions in an arbitrary external potential. We deduce virial theorems for several situations relevant to trapped cold atoms: zero-range interactions with and without Efimov effect, hard spheres, narrow Feshbach resonances, and finite-range interactions. If the scattering length $a$ is varied adiabatically in the BEC-BCS crossover, we find that the trapping potential energy as a function of $1/a$ has an inflexion point at unitarity.

Mots clés: Zero-range interactions; trapped quantum gases

Domaines: Autre [cond-mat.other]

Felix Werner. Virial theorems for trapped cold atoms. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2008, 78, pp.025601. ⟨hal-00266437v3⟩