3,340 research outputs found

    Covariant Helicity-Coupling Amplitudes: A New Formulation

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    We have worked out covariant amplitudes for any two-body decay of a resonance with an arbitrary non-zero mass, which involves arbitrary integer spins in the initial and the final states. One key new ingredient for this work is the application of the total intrinsic spin operator S\vec S which is given directly in terms of the generators of the Poincar\'e group. Using the results of this study, we show how to explore the Lorentz factors which appear naturally, if the momentum-space wave functions are used to form the covariant decay amplitudes. We have devised a method of constructing our covariant decay amplitudes, such that they lead to the Zemach amplitudes when the Lorentz factors are set one

    Minimum detection efficiency for a loophole-free atom-photon Bell experiment

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    In Bell experiments, one problem is to achieve high enough photodetection to ensure that there is no possibility of describing the results via a local hidden-variable model. Using the Clauser-Horne inequality and a two-photon non-maximally entangled state, a photodetection efficiency higher than 0.67 is necessary. Here we discuss atom-photon Bell experiments. We show that, assuming perfect detection efficiency of the atom, it is possible to perform a loophole-free atom-photon Bell experiment whenever the photodetection efficiency exceeds 0.50.Comment: REVTeX4, 4 pages, 1 figur

    Low rank positive partial transpose states and their relation to product vectors

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    It is known that entangled mixed states that are positive under partial transposition (PPT states) must have rank at least four. In a previous paper we presented a classification of rank four entangled PPT states which we believe to be complete. In the present paper we continue our investigations of the low rank entangled PPT states. We use perturbation theory in order to construct rank five entangled PPT states close to the known rank four states, and in order to compute dimensions and study the geometry of surfaces of low rank PPT states. We exploit the close connection between low rank PPT states and product vectors. In particular, we show how to reconstruct a PPT state from a sufficient number of product vectors in its kernel. It may seem surprising that the number of product vectors needed may be smaller than the dimension of the kernel.Comment: 29 pages, 4 figure

    Purification and correlated measurements of bipartite mixed states

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    We prove that all purifications of a non-factorable state (i.e., the state which cannot be expressed in a form ρAB=ρAρB\rho_{AB}=\rho_A\otimes\rho_B) are entangled. We also show that for any bipartite state there exists a pair of measurements which are correlated on this state if and only if the state is non-factorable.Comment: 4 revtex pages, to appear in Phys. Rev.

    The Fulling-Unruh effect in general stationary accelerated frames

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    We study the generalized Unruh effect for accelerated reference frames that include rotation in addition to acceleration. We focus particularly on the case where the motion is planar, with presence of a static limit in addition to the event horizon. Possible definitions of an accelerated vacuum state are examined and the interpretation of the Minkowski vacuum state as a thermodynamic state is discussed. Such athermodynamic state is shown to depend on two parameters, the acceleration temperature and a drift velocity, which are determined by the acceleration and angular velocity of the accelerated frame. We relate the properties of Minkowski vacuum in the accelerated frame to the excitation spectrum of a detector that is stationary in this frame. The detector can be excited both by absorbing positive energy quanta in the "hot" vacuum state and by emitting negative energy quanta into the "ergosphere" between the horizon and the static limit. The effects are related to similar effects in the gravitational field of a rotating black hole.Comment: Latex, 39 pages, 5 figure

    Diffuse Gamma-Ray Emission from Starburst Galaxies and M31

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    We present a search for high energy gamma-ray emission from 9 nearby starburst galaxies and M31 with the EGRET instrument aboard CGRO. Though the diffuse gamma-ray emission from starburst galaxies was suspected to be detectable, we find no emission from NGC 253, M82 nor from the average of all 9 galaxies. The 2 sigma upper limit for the EGRET flux above 100 MeV for the averaged survey observations is 1.8 x 10-8 ph cm-2 s-1. From a model of the expected radio and gamma-ray emission, we find that the magnetic field in the nuclei of these galaxies is > 25 micro Gauss, and the ratio of proton and electron densities is < 400. The EGRET limits indicate that the rate of massive star formation in the survey galaxies is only about an order of magnitude higher than in the Milky Way. The upper limit to the gamma-ray flux above 100 MeV for M31 is 1.6 x 10-8 ph cm-2 s-1. At the distance of M31, the Milky Way flux would be over twice this value, indicating higher gamma-ray emissivities in our Galaxy. Therefore, since the supernova rate of the Milky Way is higher than in M31, our null detection of M31 supports the theory of the supernova origin of cosmic rays in galaxies.Comment: 17 pages, plus 1 Postscript figure, AAS Latex macros v4.0, accepted for publication in ApJ Main Journa

    Biology and population studies of two endemic Nematoceras (orchid) species on sub-Antarctic Macquarie Island

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    Two endemic orchid species, Nematoceras dienemum and N. sulcatum, are known from sub-Antarctic Macquarie Island. Several additional orchid populations on the island are reported and deistogamy is documented in N. dienemum for the first time. The known population sizes, habitats and locations for both orchid species are documented here, and new information on their biology and population ecology is provided

    Flat Information Geometries in Black Hole Thermodynamics

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    The Hessian of either the entropy or the energy function can be regarded as a metric on a Gibbs surface. For two parameter families of asymptotically flat black holes in arbitrary dimension one or the other of these metrics are flat, and the state space is a flat wedge. The mathematical reason for this is traced back to the scale invariance of the Einstein-Maxwell equations. The picture of state space that we obtain makes some properties such as the occurence of divergent specific heats transparent.Comment: 14 pages, one figure. Dedicated to Rafael Sorkin's birthda

    Emerging perspectives on distraction and task interruptions: metacognition, cognitive control and facilitation - part I

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    Modern technology allows for the control of learning and work environments to an unprecedented degree. Therefore, the focus of research shifts from how learning and work performance are passively affected by environmental factors to how people actively shape their own learning and work experiences. This includes task-irrelevant stimuli and task interruptions. For instance, modern headphones allow one to switch between two modes: Active noise cancelling eliminates all background sounds while acoustic transparency allows certain signals to pass through the headphones, creating a customisable audio space. Modern devices also allow us to plan certain task interruptions (for example, by email alerts) in advance. This gives users unprecedented autonomy over their learning and work environments. However, increased control does not necessarily imply that these environments are free of distraction and interruptions. In fact, quite the opposite is true: Modern-day digital learning and work environments are full of distractions and interruptions. With users’ increased control over their learning and work environments, new research questions arise that emphasise the active role of the individual in shaping their own learning and work experiences: Are people capable of distinguishing between harmful and helpful task-irrelevant stimuli and activities? Can the harmful aspects of distractions and interruptions be brought under cognitive control? Are distraction and task interruptions always harmful or are they sometimes helpful? Within this Special Issue, we primarily focus on the following emerging trends in distraction and attention
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