One-dimensional ultracold atomic gases: impact of the effective range on integrability

Tom Kristensen (1) , Ludovic Pricoupenko (1)

1 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

The one-dimensional one-component Bose and Fermi gases are considered in a regime of large effective range. We focus our study on the three-body problem, which is at the heart of the integra-bility issue. For fermions, the vicinity of the integrability is characterized by large deviations with respect to the predictions of the Bethe ansatz. For the consistency of the contact model, it appears essential to take into account the contact of three particles.

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Physique Quantique [quant-ph]

Tom Kristensen, Ludovic Pricoupenko. One-dimensional ultracold atomic gases: impact of the effective range on integrability. 2015. ⟨hal-01162510v1⟩