Scientific Results

Fermi polaron in two dimensions: Importance of the two-body bound state

Year: 2011

Authors: Klawunn M., Recati A.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica,Università di Trento, I-38123 Povo, Italy

Abstract: We investigate a single impurity interacting with a free two-dimensional atomic Fermi gas. The interaction between the impurity and the gas is characterized by an arbitrary attractive short-range potential, which, in two dimensions, always admits a two-particle bound state. We provide analytical expressions for the energy and the effective mass of the dressed impurity by including the two-body bound state, which is crucial for strong interactions, in the integral equation for the effective interaction. Using the same method, we also give the results for the polaron parameters in one and three dimensions and find good agreement with previous results. Thus, our relations can be used as a simple way to estimate the polaron parameters once the two-body bound state of the interaction potential is known.

Journal/Review: PHYSICAL REVIEW A

Volume: 84 (3)      Pages from: 033607  to: 033607

More Information: Useful discussions with Georg Bruun and Alexander Pikovski are acknowledged. We also thank G. Bertaina and S. Giorgini for the opportunity to compare our calculations with the unpublished results of a Monte Carlo calculation. This work has been supported by the ERC through a QGBE grant.
DOI: 10.1103/PhysRevA.84.033607

Citations: 25
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