Efimov three-body states on top of a Fermi sea

The stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the quantum-mechanical three-body problem the famous Efimov effect yields un...

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Main Authors: Nicolai Gayle Nygaard, Nikolaj Thomas Zinner
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/2/023026
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author Nicolai Gayle Nygaard
Nikolaj Thomas Zinner
author_facet Nicolai Gayle Nygaard
Nikolaj Thomas Zinner
author_sort Nicolai Gayle Nygaard
collection DOAJ
description The stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the quantum-mechanical three-body problem the famous Efimov effect yields unexpected scaling relations among a tower of universal states. These seemingly unrelated problems can now be studied in the same setup thanks to the success of ultracold atomic gas experiments. In light of the tremendous effect of a background Fermi sea on two-body properties, a natural question is whether a background can modify or even destroy the Efimov effect. Here we demonstrate how the generic problem of three interacting particles changes when one particle is embedded in a background Fermi sea, and show that Efimov scaling persists. It is found in a scaling that relates the three-body physics to the background density of fermionic particles.
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spelling doaj.art-bd40c21d69fa4f389e67b9952a719e602023-08-08T11:21:33ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116202302610.1088/1367-2630/16/2/023026Efimov three-body states on top of a Fermi seaNicolai Gayle Nygaard0Nikolaj Thomas Zinner1Lundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University , DK-8000 Aarhus C, DenmarkLundbeck Foundation Theoretical Center for Quantum System Research, Department of Physics and Astronomy, Aarhus University , DK-8000 Aarhus C, DenmarkThe stabilization of Cooper pairs of bound electrons in the background of a Fermi sea is the origin of superconductivity and the paradigmatic example of the striking influence of many-body physics on few-body properties. In the quantum-mechanical three-body problem the famous Efimov effect yields unexpected scaling relations among a tower of universal states. These seemingly unrelated problems can now be studied in the same setup thanks to the success of ultracold atomic gas experiments. In light of the tremendous effect of a background Fermi sea on two-body properties, a natural question is whether a background can modify or even destroy the Efimov effect. Here we demonstrate how the generic problem of three interacting particles changes when one particle is embedded in a background Fermi sea, and show that Efimov scaling persists. It is found in a scaling that relates the three-body physics to the background density of fermionic particles.https://doi.org/10.1088/1367-2630/16/2/023026few-body physicsEfimov effectFermi seamany-body effectscold atoms03.65.Ge
spellingShingle Nicolai Gayle Nygaard
Nikolaj Thomas Zinner
Efimov three-body states on top of a Fermi sea
New Journal of Physics
few-body physics
Efimov effect
Fermi sea
many-body effects
cold atoms
03.65.Ge
title Efimov three-body states on top of a Fermi sea
title_full Efimov three-body states on top of a Fermi sea
title_fullStr Efimov three-body states on top of a Fermi sea
title_full_unstemmed Efimov three-body states on top of a Fermi sea
title_short Efimov three-body states on top of a Fermi sea
title_sort efimov three body states on top of a fermi sea
topic few-body physics
Efimov effect
Fermi sea
many-body effects
cold atoms
03.65.Ge
url https://doi.org/10.1088/1367-2630/16/2/023026
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