4,063 research outputs found

    Unidirectional Nonlinear PT-symmetric Optical Structures

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    We show that non-linear optical structures involving a balanced gain-loss profile, can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental symmetries of parity (P) and time (T), with optical nonlinear effects. This novel unidirectional dynamics is specifically demonstrated for the case of an integrable PT-symmetric nonlinear system.Comment: 6 pages,5 figure

    Weak Value in Wave Function of Detector

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    A simple formula to read out the weak value from the wave function of the measuring device after the postselection with the initial Gaussian profile is proposed. We apply this formula for the weak value to the classical experiment of the realization of the weak measurement by the optical polarization and obtain the weak value for any pre- and post-selections. This formula automatically includes the interference effect which is necessary to yields the weak value as an outcome of the weak measurement.Comment: 3 pages, no figures, Published in Journal of the Physical Society of Japa

    Implications of Pseudospin Symmetry on Relativistic Magnetic Properties and Gamow - Teller Transitions in Nuclei

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    Recently it has been shown that pseudospin symmetry has its origins in a relativistic symmetry of the Dirac Hamiltonian. Using this symmetry we relate single - nucleon relativistic magnetic moments of states in a pseudospin doublet to the relativistic magnetic dipole transitions between the states in the doublet, and we relate single - nucleon relativistic Gamow - Teller transitions within states in the doublet. We apply these relationships to the Gamow - Teller transitions from 39Ca^{39}Ca to its mirror nucleus 39K^{39}K.Comment: 17 pages, 2 figures, to be published in PRC. Slightly revised text with one reference adde

    Violation of pseudospin symmetry in nucleon-nucleus scattering: exact relations

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    An exact determination of the size of the pseudospin symmetry violating part of the nucleon-nucleus scattering amplitude from scattering observables is presented. The approximation recently used by Ginocchio turns out to underestimate the violation of pseudospin symmetry. Nevertheless the conclusion of a modestly broken pseudospin symmetry in proton-208Pb scattering at EL=800MeV remains valid.Comment: 8 pages, 2 figure

    Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting

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    Experimental data indicate small spin-orbit splittings in hadrons. For heavy-light mesons we identify a relativistic symmetry that suppresses these splittings. We suggest an experimental test in electron-positron annihilation. Furthermore, we argue that the dynamics necessary for this symmetry are possible in QCD.Comment: 16 pages, LaTeX. Two postscript figures. Final version to be published in Physical Review Letter

    Off Mass Shell Effects in Hadron Electric Dipole Moments

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    We note that off the quark mass shell the operators (pi+pf)μγ5(p_i+p_f)_\mu\gamma_5 and iσμν(pipf)νγ5i\sigma_{\mu\nu}(p_i -p_f)^\nu\gamma_5, both of which reduce to σE-\vec{\sigma}\cdot\vec{E} in the non-relativistic limit, are no longer identical. In this paper we explore the effects of this difference in the contribution of these quark electric moments to hadronic electric moments.Comment: 21 pages, 1 figure, Revtex, uses psfi

    Two-photon diffraction and quantum lithography

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    We report a proof-of-principle experimental demonstration of quantum lithography. Utilizing the entangled nature of a two-photon state, the experimental results have bettered the classical diffraction limit by a factor of two. This is a quantum mechanical two-photon phenomenon but not a violation of the uncertainty principle.Comment: 5 pages, 5 figures Submitted to Physical Review Letter
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