Impurity coupled to an artificial magnetic field in a Fermi gas in a ring trap

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dc.citation.epage053625-11en_US
dc.citation.issueNumber5en_US
dc.citation.spage053625-1en_US
dc.citation.volumeNumber91en_US
dc.contributor.authorÜnal, F. N.en_US
dc.contributor.authorHetényi, B.en_US
dc.contributor.authorOktel, M. Ö.en_US
dc.date.accessioned2016-02-08T09:53:00Z
dc.date.available2016-02-08T09:53:00Z
dc.date.issued2015en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractThe dynamics of a single impurity interacting with a many-particle background is one of the central problems of condensed-matter physics. Recent progress in ultracold-atom experiments makes it possible to control this dynamics by coupling an artificial gauge field specifically to the impurity. In this paper, we consider a narrow toroidal trap in which a Fermi gas is interacting with a single atom. We show that an external magnetic field coupled to the impurity is a versatile tool to probe the impurity dynamics. Using a Bethe ansatz, we calculate the eigenstates and corresponding energies exactly as a function of the flux through the trap. Adiabatic change of flux connects the ground state to excited states due to flux quantization. For repulsive interactions, the impurity disturbs the Fermi sea by dragging the fermions whose momentum matches the flux. This drag transfers momentum from the impurity to the background and increases the effective mass. The effective mass saturates to the total mass of the system for infinitely repulsive interactions. For attractive interactions, the drag again increases the effective mass which quickly saturates to twice the mass of a single particle as a dimer of the impurity and one fermion is formed. For excited states with momentum comparable to number of particles, effective mass shows a resonant behavior. We argue that standard tools in cold-atom experiments can be used to test these predictions.en_US
dc.identifier.doi10.1103/PhysRevA.91.053625en_US
dc.identifier.eissn2469-9934
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/11693/21914
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevA.91.053625en_US
dc.source.titlePhysical Review Aen_US
dc.subjectAtomsen_US
dc.subjectCondensed matter physicsen_US
dc.subjectDragen_US
dc.subjectDynamicsen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectElectron gasen_US
dc.subjectExcited statesen_US
dc.subjectGround stateen_US
dc.subjectMagnetic fieldsen_US
dc.subjectMomentumen_US
dc.subjectAdiabatic changesen_US
dc.subjectAttractive interactionsen_US
dc.subjectCentral problemsen_US
dc.subjectExternal magnetic fielden_US
dc.subjectRecent progressen_US
dc.subjectRepulsive interactionsen_US
dc.subjectResonant behavioren_US
dc.subjectUltracold atomsen_US
dc.subjectFermionsen_US
dc.titleImpurity coupled to an artificial magnetic field in a Fermi gas in a ring trapen_US
dc.typeArticleen_US

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