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Relaxation timescales and decay of correlations in a long-range interacting quantum simulator

dc.contributor.authorVan den Worm, Mauritzen_ZA
dc.contributor.authorSawyer, Brian C.en_ZA
dc.contributor.authorBollinger, John J.en_ZA
dc.contributor.authorKastner, Michaelen_ZA
dc.date.accessioned2014-07-07T12:27:47Z
dc.date.available2014-07-07T12:27:47Z
dc.date.issued2013
dc.identifier.citationVan den Worm, M. et al. 2013. Relaxation timescales and decay of correlations in a long-range interacting quantum simulator. New Journal of Physics, 15:083007, doi:10.1088/1367-2630/15/8/083007.
dc.identifier.issn1367-2630 (online)
dc.identifier.otherdoi:10.1088/1367-2630/15/8/083007
dc.identifier.urihttp://hdl.handle.net/10019.1/93844
dc.descriptionCITATION: Van den Worm, M. et al. 2013. Relaxation timescales and decay of correlations in a long-range interacting quantum simulator. New Journal of Physics, 15:083007, doi:10.1088/1367-2630/15/8/083007.
dc.descriptionThe original publication is available at http://iopscience.iop.org
dc.description.abstractWe study the time evolution of correlation functions in long-range interacting quantum Ising models. For a large class of initial conditions, exact analytic results are obtained in arbitrary lattice dimension, both for ferromagnetic and antiferromagnetic coupling, and hence also in the presence of geometric frustration. In contrast to the nearest-neighbour case, we find that correlations decay like stretched or compressed exponentials in time. Provided the long-range character of the interactions is sufficiently strong, pronounced prethermalization plateaus are observed and relaxation timescales are widely separated. Specializing to a triangular lattice in two spatial dimensions, we propose to utilize these results for benchmarking a recently developed ion-trap-based quantum simulator.
dc.description.urihttp://iopscience.iop.org/article/10.1088/1367-2630/15/8/083007
dc.format.extent20 pages
dc.language.isoen
dc.publisherIOP
dc.subjectIsing modelen_ZA
dc.titleRelaxation timescales and decay of correlations in a long-range interacting quantum simulatoren_ZA
dc.typeArticle
dc.description.versionPublisher's version
dc.rights.holderAuthors retain copyright


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