Geometric representation of spin correlations and applications to ultracold systems

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dc.citation.articleNumber043606
dc.citation.issueNumber4
dc.citation.journalTitlePhysical Review A
dc.citation.volumeNumber97
dc.contributor.authorMukherjee, Rick
dc.contributor.authorMirasola, Anthony E.
dc.contributor.authorHollingsworth, Jacob
dc.contributor.authorWhite, Ian G.
dc.contributor.authorHazzard, Kaden R.A.
dc.contributor.orgRice Center for Quantum Materials
dc.date.accessioned2018-08-17T13:36:21Z
dc.date.available2018-08-17T13:36:21Z
dc.date.issued2018
dc.description.abstractWe provide a one-to-one map between the spin correlations and certain three-dimensional shapes, analogous to the map between single spins and Bloch vectors, and demonstrate its utility. Much as one can reason geometrically about dynamics using a Bloch vector—e.g., a magnetic field causes it to precess and dissipation causes it to shrink—one can reason similarly about the shapes we use to visualize correlations. This visualization demonstrates its usefulness by unveiling the hidden structure in the correlations. For example, seemingly complex correlation dynamics can be described as simple motions of the shapes. We demonstrate the simplicity of the dynamics, which is obscured in conventional analyses, by analyzing several physical systems of relevance to cold atoms.
dc.identifier.citationMukherjee, Rick, Mirasola, Anthony E., Hollingsworth, Jacob, et al.. "Geometric representation of spin correlations and applications to ultracold systems." <i>Physical Review A,</i> 97, no. 4 (2018) American Physical Society: https://doi.org/10.1103/PhysRevA.97.043606.
dc.identifier.digitalPhysRevA.97.043606
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.97.043606
dc.identifier.urihttps://hdl.handle.net/1911/102462
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleGeometric representation of spin correlations and applications to ultracold systems
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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