Normal State of Highly Polarized Fermi Gases: Simple Many-Body Approaches

R. Combescot, A. Recati, C. Lobo, and F. Chevy
Phys. Rev. Lett. 98, 180402 – Published 1 May 2007

Abstract

We consider the problem of a single atom in the presence of a Fermi sea of atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the 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.

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  • Received 16 February 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.180402

©2007 American Physical Society

Authors & Affiliations

R. Combescot

  • Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

A. Recati and C. Lobo

  • Dipartimento di Fisica, Università di Trento and CNR-INFM BEC Center, I-38050 Povo, Trento, Italy

F. Chevy

  • Laboratoire Kastler Brossel, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France

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Issue

Vol. 98, Iss. 18 — 4 May 2007

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