Normal state of highly polarized Fermi gases: Simple many-body approaches

Year: 2007

Authors: Combescot R., Recati A., Lobo C., Chevy F.

Autors Affiliation: Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France;
Dipartimento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy;
Laboratoire Kastler Brossel, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France.

Abstract: We consider the problem of a single down arrow atom in the presence of a Fermi sea of up arrow atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the down arrow atom using two simple approaches: a many-body variational wave function and a T-matrix approximation. These two methods lead to the same results and are in good agreement with existing quantum Monte Carlo calculations performed at unitarity and, in one dimension, with the known exact solution. Surprisingly, our results suggest that, even at unitarity, the effect of interactions is fairly weak and can be accurately described using single particle-hole excitations. We also consider the case of unequal masses.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 98 (18)      Pages from: 180402-1  to: 180402-4

KeyWords: polaron physics; fermi-fermi mixtures;
DOI: 10.1103/PhysRevLett.98.180402

Citations: 230
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