7,394 research outputs found

    Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension

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    We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale-invariant and depends directly on the boson radius. We interpret the results in terms of correlation functions of branch-point twist fields. The present study provides a new way to determine the boson radius, and furthermore demonstrates the power of the mutual information to extract more refined information of conformal field theory than the central charge.Comment: 4.1 pages, 5 figure

    When The Moon Is Shinin\u27 Down In Alabam

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    https://digitalcommons.library.umaine.edu/mmb-vp/4878/thumbnail.jp

    Deedle Deedle Dum

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    https://digitalcommons.library.umaine.edu/mmb-vp/1294/thumbnail.jp

    Energy compensation and adiposity in humans

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    Understanding the impacts of activity on energy balance is crucial. Increasing levels of activity may bring diminishing returns in energy expenditure because of compensatory responses in non-activity energy expenditures

    An Efficient Method for Quantifying the Aggregate Flexibility of Plug-in Electric Vehicle Populations

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    Plug-in electric vehicles (EVs) are widely recognized as being highly flexible electric loads that can be pooled and controlled via aggregators to provide low-cost energy and ancillary services to wholesale electricity markets. To participate in these markets, an EV aggregator must encode the aggregate flexibility of the population of EVs under their command as a single polytope that is compliant with existing market rules. To this end, we investigate the problem of characterizing the aggregate flexibility set of a heterogeneous population of EVs whose individual flexibility sets are given as convex polytopes in half-space representation. As the exact computation of the aggregate flexibility set -- the Minkowski sum of the individual flexibility sets -- is known to be intractable, we study the problems of computing maximum-volume inner approximations and minimum-volume outer approximations to the aggregate flexibility set by optimizing over affine transformations of a given convex polytope in half-space representation. We show how to conservatively approximate the pair of maximum-volume and minimum-volume set containment problems as linear programs that scale polynomially with the number and dimension of the individual flexibility sets. The class of approximations methods provided in this paper generalizes existing methods from the literature. We illustrate the improvement in approximation accuracy achievable by our methods with numerical experiments.Comment: 10 pages, 4 figure

    High Transverse Momentum Physics at the Large Hadron Collider

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    This note summarizes many detailed physics studies done by the ATLAS and CMS Collaborations for the LHC, concentrating on processes involving the production of high mass states. These studies show that the LHC should be able to elucidate the mechanism of electroweak symmetry breaking and to study a variety of other topics related to physics at the TeV scale. In particular, a Higgs boson with couplings given by the Standard Model is observable in several channels over the full range of allowed masses. Its mass and some of its couplings will be determined. If supersymmetry is relevant to electroweak interactions, it will be discovered and the properties of many supersymmetric particles elucidated. Other new physics, such as the existence of massive gauge bosons and extra dimensions can be searched for extending existing limits by an order of magnitude or more.Comment: Authors listed are the editor
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