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Self-similar nonequilibrium dynamics of a many-body system with power-law interactions

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorGutiérrez Díez, Ricardo
dc.contributor.authorGarrahan, Juan P.
dc.contributor.authorLesanovsky, Igor
dc.contributor.funderEuropean Commissionen
dc.date.accessioned2021-02-01T11:05:18Z
dc.date.available2021-02-01T11:05:18Z
dc.date.issued2015-12-28
dc.description.abstractThe influence of power-law interactions on the dynamics of many-body systems far from equilibrium is much less explored than their effect on static and thermodynamic properties. To gain insight into this problem we introduce and analyze here an out-of-equilibrium deposition process in which the deposition rate of a given particle depends as a power law on the distance to previously deposited particles. This model draws its relevance from recent experimental progress in the domain of cold atomic gases, which are studied in a setting where atoms that are excited to high-lying Rydberg states interact through power-law potentials that translate into power-law excitation rates. The out-of-equilibrium dynamics of this system turns out to be surprisingly rich. It features a self-similar evolution which leads to a characteristic power-law time dependence of observables such as the particle concentration, and results in a scale invariance of the structure factor. Our findings show that in dissipative Rydberg gases out of equilibrium the characteristic distance among excitations—often referred to as the blockade radius—is not a static but rather a dynamic quantity.en
dc.description.sponsorshipThe research leading to these results has received funding from the European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) and ERC Grant Agreement No. 335266 (ESCQUMA), the EU-FET grant HAIRS, 612862 and from the University of Nottingham. Further funding was received through the H2020-FETPROACT-2014 Grant No. 640378 (RYSQ). We also acknowledge financial support from EPSRC Grant No. EP/J009776/1. Our work has benefited from the computational resources and assistance provided by the University of Nottingham High Performance Computing service.en
dc.identifier.bibliographicCitationRicardo Gutiérrez, Juan P. Garrahan, and Igor Lesanovsky. "Self-similar nonequilibrium dynamics of a many-body system with power-law interactions". Phys. Rev. E, Vol. 92, Iss. 6, dec. 2015
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.92.062144
dc.identifier.issn1539-3755
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue062144
dc.identifier.publicationlastpage8
dc.identifier.publicationtitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.identifier.publicationvolume92
dc.identifier.urihttps://hdl.handle.net/10016/31826
dc.identifier.uxxiAR/0000025282
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/335266
dc.rights©2015 American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.titleSelf-similar nonequilibrium dynamics of a many-body system with power-law interactionsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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