Interplay of soundcone and supersonic propagation in lattice models with power law interactions

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dc.contributor.authorStorch, David-Maximilianen_ZA
dc.contributor.authorVan den Worm, Mauritzen_ZA
dc.contributor.authorKastner, Michaelen_ZA
dc.date.accessioned2016-11-14T12:47:06Z
dc.date.available2016-11-14T12:47:06Z
dc.date.issued2015-06-16
dc.descriptionCITATION: Storch, D-M., Van den Worm, M. & Kastner, M. 2015. Interplay of soundcone and supersonic propagation in lattice models with power law interactions. New Journal of Physics, 17:063021, doi:10.1088/1367-2630/17/6/063021.en_ZA
dc.descriptionThe original publication is available at http://iopscience.iop.org/journal/1367-2630en_ZA
dc.description.abstractWestudy the spreading of correlations and other physical quantities in quantum lattice models with interactions or hopping decaying like r−α with the distance r.Our focus is on exponents α between 0 and 6, where the interplay of long- and short-range features gives rise to a complex phenomenology and interesting physical effects, and which is also the relevant range for experimental realizations with cold atoms, ions, or molecules.Wepresent analytical and numerical results, providing a comprehensive picture of spatio-temporal propagation. Lieb–Robinson-type bounds are extended to strongly long-range interactions where α is smaller than the lattice dimension, and we report particularly sharp bounds that are capable of reproducing regimes with soundcone as well as supersonic dynamics. Complementary lower bounds prove that faster-than-soundcone propagation occurs for α < 2 in any spatial dimension, although cone-like features are shown to also occur in that regime. Our results provide guidance for optimizing experimental efforts to harness long-range interactions in a variety of quantum information and signaling tasks.en_ZA
dc.description.urihttp://iopscience.iop.org/article/10.1088/1367-2630/17/6/063021?fromSearchPage=true
dc.description.versionPublisher's versionen_ZA
dc.format.extent15 pages : colour illustrationsen_ZA
dc.identifier.citationStorch, D-M., Van den Worm, M. & Kastner, M. 2015. Interplay of soundcone and supersonic propagation in lattice models with power law interactions. New Journal of Physics, 17:063021, doi:10.1088/1367-2630/17/6/063021.en_ZA
dc.identifier.otherdoi:10.1088/1367-2630/17/6/063021
dc.identifier.urihttp://hdl.handle.net/10019.1/99849
dc.language.isoen_ZAen_ZA
dc.publisherBristol : IOP Publishingen_ZA
dc.rights.holderIOP Publishingen_ZA
dc.subjectLong-range interactionsen_ZA
dc.subjectPropagation of correlationsen_ZA
dc.subjectNonequilibrium dynamicsen_ZA
dc.subjectQuantum lattice modelsen_ZA
dc.titleInterplay of soundcone and supersonic propagation in lattice models with power law interactionsen_ZA
dc.typeArticleen_ZA
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