Finite-size effects in the dynamics of few bosons in a ring potential

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dc.contributor.authorEriksson, G.
dc.contributor.authorBengtsson, J.
dc.contributor.authorKarabulut, E. O.
dc.contributor.authorKavoulakis, G. M.
dc.contributor.authorReimann, S. M.
dc.date.accessioned2020-03-26T19:54:00Z
dc.date.available2020-03-26T19:54:00Z
dc.date.issued2018
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractWe study the temporal evolution of a small number N of ultra-cold bosonic atoms confined in a ring potential. Assuming that initially the system is in a solitary-wave solution of the corresponding mean-field problem, we identify significant differences in the time evolution of the density distribution of the atoms when it instead is evaluated with the many-body Schrodinger equation. Three characteristic timescales are derived: the first is the period of rotation of the wave around the ring, the second is associated with a 'decay' of the density variation, and the third is associated with periodic 'collapses' and 'revivals' of the density variations, with a factor of root N separating each of them. The last two timescales tend to infinity in the appropriate limit of large N, in agreement with the mean-field approximation. These findings are based on the assumption of the initial state being a mean-field state. We confirm this behavior by comparison to the exact solutions for a few-body system stirred by an external potential. We find that the exact solutions of the driven system exhibit similar dynamical features.en_US
dc.description.sponsorshipSwedish Research CouncilSwedish Research Council; NanoLund at Lund Universityen_US
dc.description.sponsorshipWe thank M Magiropoulos, A Roussou, J Smyrnakis and J C Cremon for useful discussions and input. This work was supported by the Swedish Research Council and NanoLund at Lund University.en_US
dc.identifier.doi10.1088/1361-6455/aaa05cen_US
dc.identifier.issn0953-4075en_US
dc.identifier.issn1361-6455en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1088/1361-6455/aaa05c
dc.identifier.urihttps://hdl.handle.net/20.500.12395/36640
dc.identifier.volume51en_US
dc.identifier.wosWOS:000422876400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIOP PUBLISHING LTDen_US
dc.relation.ispartofJOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectfew-body systemsen_US
dc.subjectexact diagonalizationen_US
dc.subjectquantum ringsen_US
dc.subjecttime evolutionen_US
dc.titleFinite-size effects in the dynamics of few bosons in a ring potentialen_US
dc.typeArticleen_US

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