4,400 research outputs found

    Statoconia Formation in Molluscan Statocysts

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    The gravity sensors of all molluscs phylogenetically below the cephalopods are spherical organs called statocysts. The wall of the sphere contains mechanosensory cells whose sensory cilia project into the lumen of the cyst. The lumen is filled with fluid and dense stones , the statoconia or statoliths, which sink under the influence of gravity to load, and stimulate, those receptor cells which are at the bottom. The statuconia of Aplysia californica are shown to be calcified about a lamellar arrangement of membranes. Similar lamellar membrane arrangements are seen within the receptor cells, and their possible role in the formation of the statoconia is discussed. SEM of unfixed statoconia reveals plate-like crystallization on their surface. Elemental analysis shows a relatively high Sr content, which is of interest, since others have recently reported that Sr is required in the culture medium of several laboratory-reared molluscs in order for the statoconia to develop

    Approximating Fractional Time Quantum Evolution

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    An algorithm is presented for approximating arbitrary powers of a black box unitary operation, Ut\mathcal{U}^t, where tt is a real number, and U\mathcal{U} is a black box implementing an unknown unitary. The complexity of this algorithm is calculated in terms of the number of calls to the black box, the errors in the approximation, and a certain `gap' parameter. For general U\mathcal{U} and large tt, one should apply U\mathcal{U} a total of ⌊t⌋\lfloor t \rfloor times followed by our procedure for approximating the fractional power Ut−⌊t⌋\mathcal{U}^{t-\lfloor t \rfloor}. An example is also given where for large integers tt this method is more efficient than direct application of tt copies of U\mathcal{U}. Further applications and related algorithms are also discussed.Comment: 13 pages, 2 figure

    A Tribute to James Moffett

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    A tribute to James Moffett, a visionary and trailblazer, who wrote about trends in education long before others even considered their possibilities

    All-Optical Broadband Excitation of the Motional State of Trapped Ions

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    We have developed a novel all-optical broadband scheme for exciting, amplifying and measuring the secular motion of ions in a radio frequency trap. Oscillation induced by optical excitation has been coherently amplified to precisely control and measure the ion's secular motion. Requiring only laser line-of-sight, we have shown that the ion's oscillation amplitude can be precisely controlled. Our excitation scheme can generate coherent motion which is robust against variations in the secular frequency. Therefore, our scheme is ideal to excite the desired level of oscillatory motion under conditions where the secular frequency is evolving in time. Measuring the oscillation amplitude through Doppler velocimetry, we have characterized the experimental parameters and compared them with a molecular dynamics simulation which provides a complete description of the system.Comment: 8 pages, 10 figure
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