A smooth polaron-molecule crossover in a Fermi system

Abstract

The problem of a single down spin particle interacting with a Fermi sea of up spin particles is of current interest in the field of cold atoms. The Hubbard model, appropriate to atoms in an optical lattice potential, is considered in parallel with a gas model. As the strength of an attractive short-range interaction is increased there is a crossover from "polaron" behaviour, in which the Fermi sea is weakly perturbed, to "molecule" behaviour in which the down spin particle is bound to a single up spin particle. It is shown that this is a smooth crossover, not a sharp transition as claimed by many authors.

References in corpus (7)

• Ultra-cold Polarized Fermi Gases
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Highly polarized Fermi gases in two dimensions
• Polarons and Molecules in a Two-Dimensional Fermi Gas
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• An impurity in a Fermi sea on a narrow Feshbach resonance: A variational study of the polaronic and dimeronic branches

Cited by in corpus (8)

• Universal many-body response of heavy impurities coupled to a Fermi sea
• Observation of a smooth polaron-molecule transition in a degenerate Fermi gas
• Fermi polaron revisited: polaron-molecule transition and coexistence
• Thermodynamic signatures of the polaron-molecule transition in a Fermi gas
• Nature of polaron-molecule transition in Fermi polarons
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• An impurity immersed in a double Fermi Sea
• Spectra of heavy polarons and molecules coupled to a Fermi sea