Emergence of N-Body Tunable Interactions in Universal Few-Atom Systems

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dc.contributor.authorYamashita, M. T. [UNESP]
dc.contributor.authorFrederico, T.
dc.contributor.authorTomio, Lauro [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Tecnológico de Aeronáutica
dc.date.accessioned2021-06-25T10:37:41Z
dc.date.available2021-06-25T10:37:41Z
dc.date.issued2021-04-01
dc.description.abstractA three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two channels, where, in this case, AA has open and closed channels separated by an energy gap. The induced three-body interaction appearing in the single channel description is derived using the Feshbach projection operators for the open and closed channels. An effective three-body interaction is revealed in the limit where the trap setup is tuned to vanishing scattering lengths. The corresponding homogeneous coupled Faddeev integral equations are derived in the unitarity limit. The s-wave transition matrix for the AA subsystem is obtained with a zero-range potential by a subtractive renormalization scheme with the introduction of two finite parameters, besides the energy gap. The effect of the coupling between the channels in the coupled equations is identified with the energy gap, which essentially provides an ultraviolet scale that competes with the van der Waals radius—this sets the short-range physics of the system in the open channel. The competition occurring at short distances exemplifies the violation of the “van der Waals universality” for narrow Feshbach resonances in cold atomic setups. In this sense, the active role of the energy gap drives the short-range three-body physics.en
dc.description.affiliationInstituto de Física Teórica UNESP
dc.description.affiliationInstituto Tecnológico de Aeronáutica
dc.description.affiliationUnespInstituto de Física Teórica UNESP
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 2017/05660-0
dc.description.sponsorshipIdFAPESP: 2019/00153-8
dc.description.sponsorshipIdCNPq: 303579/2019-6
dc.description.sponsorshipIdCNPq: 304469-2019-0
dc.description.sponsorshipIdCNPq: 308486/2015-3
dc.format.extent277-286
dc.identifierhttp://dx.doi.org/10.1007/s13538-020-00810-6
dc.identifier.citationBrazilian Journal of Physics, v. 51, n. 2, p. 277-286, 2021.
dc.identifier.doi10.1007/s13538-020-00810-6
dc.identifier.issn1678-4448
dc.identifier.issn0103-9733
dc.identifier.scopus2-s2.0-85094639561
dc.identifier.urihttp://hdl.handle.net/11449/206759
dc.language.isoeng
dc.relation.ispartofBrazilian Journal of Physics
dc.sourceScopus
dc.subjectFeshbach resonances
dc.subjectFew-atom systems
dc.subjectUniversality
dc.titleEmergence of N-Body Tunable Interactions in Universal Few-Atom Systemsen
dc.typeArtigo
unesp.author.orcid0000-0002-2559-092X[1]

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