5. Theoretical Physics (CSN4)

Unitary gases

by Dr Yvan CASTIN (Laboratoire Kastler Brossel)

Europe/Rome
Aula Bruno Touschek (LNF)

Aula Bruno Touschek

LNF

Via Enrico Fermi, 40 00044 Frascati (Roma)
Description
In cold atom experiments one can adjust at will the atomic interaction strength: with a simple application of a magnetic field, one can in principle tune the s-wave scattering length from minus infinity to plus infinity. For spin 1/2 fermions this has in particular led to the first observation of the crossover between a BCS state of Cooper pairs and a Bose-Einstein Condensate of dimers [1,2]. In this theoretical talk, we shall focus on the particularly fascinating case of an infinite scattering length. For spin 1/2 fermions, this leads to the so-called unitary gas, which was recently the subject of precise equation-of-state measurements/numerical calculations [3,4]. We shall review the intriguing physical consequences of scaling invariance of this maximally interacting gas, and make the link with Efimov physics: - mathematical representation by the Wigner-Bethe-Peierls (or zero-range) model [5] - dynamical consequences of the scaling invariant, and SO(2,1) hidden symmetry in a trap [6] - does the unitary gas really exist ? The threat of a generalized Efimov effect [7] - effect of mass imbalance between the two components: the single impurity problem, three-body [8] and four-body [9] Efimov effects - what about the mysterious ”unitary Bose gas” ?