18,043 research outputs found

    Bell inequalities for three particles

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    We present tight Bell inequalities expressed by probabilities for three four- and five-dimensional systems. The tight structure of Bell inequalities for three dd-dimensional systems (qudits) is proposed. Some interesting Bell inequalities of three qubits reduced from those of three qudits are also studied.Comment: 8 pages, 3 figures. Accepted for publication in Phys. Rev.

    Asymptotic tails of massive scalar fields in a stationary axisymmetric EMDA black hole geometry

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    The late-time tail behavior of massive scalar fields is studied analytically in a stationary axisymmetric EMDA black hole geometry. It is shown that the asymptotic behavior of massive perturbations is dominated by the oscillatory inverse power-law decaying tail t(l+3/2)sin(μt) t^{-(l+3/2)}\sin(\mu t) at the intermediate late times, and by the asymptotic tail t5/6sin(μt) t^{-5/6}\sin(\mu t) at asymptotically late times. Our result seems to suggest that the intermediate tails t(l+3/2)sin(μt) t^{-(l+3/2)}\sin(\mu t) and the asymptotically tails t5/6sin(μt)t^{-5/6} \sin(\mu t) may be quite general features for evolution of massive scalar fields in any four dimensional asymptotically flat rotating black hole backgrounds.Comment: 6 page

    Hidden nonlinear supersymmetries in pure parabosonic systems

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    The existence of intimate relation between generalized statistics and supersymmetry is established by observation of hidden supersymmetric structure in pure parabosonic systems. This structure is characterized generally by a nonlinear superalgebra. The nonlinear supersymmetry of parabosonic systems may be realized, in turn, by modifying appropriately the usual supersymmetric quantum mechanics. The relation of nonlinear parabosonic supersymmetry to the Calogero-like models with exchange interaction and to the spin chain models with inverse-square interaction is pointed out.Comment: 20 pages, one reference corrected, to appear in Int. J. Mod. Phys.

    Photometric properties and luminosity function of nearby massive early-type galaxies

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    We perform photometric analyses for a bright early-type galaxy (ETG) sample with 2949 galaxies (Mr<22.5M_{\rm r}<-22.5 mag) in the redshift range of 0.05 to 0.15, drawn from the SDSS DR7 with morphological classification from Galaxy Zoo 1. We measure the Petrosian and isophotal magnitudes, as well as the corresponding half-light radius for each galaxy. We find that for brightest galaxies (Mr<23M_{\rm r}<-23 mag), our Petrosian magnitudes, and isophotal magnitudes to 25 mag/arcsec2{\rm mag/arcsec^2} and 1\% of the sky brightness are on average 0.16 mag, 0.20 mag, and 0.26 mag brighter than the SDSS Petrosian values, respectively. In the first case the underestimations are caused by overestimations in the sky background by the SDSS PHOTO algorithm, while the latter two are also due to deeper photometry. Similarly, the typical half-light radii (r50r_{50}) measured by the SDSS algorithm are smaller than our measurements. As a result, the bright-end of the rr-band luminosity function is found to decline more slowly than previous works. Our measured luminosity densities at the bright end are more than one order of magnitude higher than those of Blanton et al. (2003), and the stellar mass densities at M5×1011MM_{\ast}\sim 5\times10^{11} M_{\odot} and M1012MM_{\ast}\sim 10^{12} M_{\odot} are a few tenths and a factor of few higher than those of Bernardi et al. (2010). These results may significantly alleviate the tension in the assembly of massive galaxies between observations and predictions of the hierarchical structure formation model.Comment: 43 pages, 14 figures, version accepted for publication in the Astrophysical Journa

    Continuous-Variable Quantum State Transfer with Partially Disembodied Transport

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    We propose a new protocol of implementing continuous-variable quantum state transfer using partially disembodied transport. This protocol may improve the fidelity at the expense of the introduction of a semi-quantum channel between the parties, in comparison with quantum teleportation using the same strength of entanglement. Depending on the amount of information destroyed in the measurement, this protocol may be regarded as a teleportation protocol (complete destruction of input state), or as a 1M1\to M cloning protocol (partial destruction), or as a direct transmission (no destruction). This scheme can be straightforwardly implemented with the experimentally accessible setup at present.Comment: 4 pages, to appear in Phys. Rev. Let

    Dirac Quasinormal modes of Schwarzschild black hole

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    The quasinormal modes (QNMs) associated with the decay of Dirac field perturbation around a Schwarzschild black hole is investigated by using continued fraction and Hill-determinant approaches. It is shown that the fundamental quasinormal frequencies become evenly spaced for large angular quantum number and the spacing is given by ωλ+1ωλ=0.384900.00000i\omega_{\lambda+1}- \omega_{\lambda}=0.38490-0.00000i. The angular quantum number has the surprising effect of increasing real part of the quasinormal frequencies, but it almost does not affect imaginary part, especially for low overtones. In addition, the quasinormal frequencies also become evenly spaced for large overtone number and the spacing for imaginary part is Im(ωn+1)Im(ωn)i/4MIm(\omega_{n+1})-Im(\omega_n)\approx -i/4M which is same as that of the scalar, electromagnetic, and gravitational perturbations.Comment: 14 pages, 5 figure
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