81 research outputs found

    Light scattering detection of quantum phases of ultracold atoms in optical lattices

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    Ultracold atoms loaded on optical lattices can provide unprecedented experimental systems for the quantum simulations and manipulations of many quantum phases. However, so far, how to detect these quantum phases effectively remains an outstanding challenge. Here, we show that the optical Bragg scattering of cold atoms loaded on optical lattices can be used to detect many quantum phases which include not only the conventional superfluid and Mott insulating phases, but also other important phases such as various kinds of density waves (CDW), valence bond solids (VBS), CDW supersolids and VBS supersolids.Comment: 4 pages, 3 colour figures, to appear in Phys. Rev. A, Rapid Communicatio

    Measurement back-action on the quantum spin-mixing dynamics of a spin-1 Bose-Einstein condensate

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    We consider a small F=1 spinor condensate inside an optical cavity driven by an optical probe field, and subject the output of the probe to a homodyne detection, with the goal of investigating the effect of measurement back-action on the spin dynamics of the condensate. Using the stochastic master equation approach, we show that the effect of back-action is sensitive to not only the measurement strength but also the quantum fluctuation of the spinor condensate. The same method is also used to estimate the atom numbers below which the effect of back-action becomes so prominent that extracting spin dynamics from this cavity-based detection scheme is no longer practical

    Compactness of the space of causal curves

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    We prove that the space of causal curves between compact subsets of a separable globally hyperbolic poset is itself compact in the Vietoris topology. Although this result implies the usual result in general relativity, its proof does not require the use of geometry or differentiable structure.Comment: 15 page

    10232 Report -- The Semantics of Information

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    The Dagstuhl Seminar 10232, "Semantics of Information" was devoted to talks by researchers in a wide range of disciplines: mathematics, computer science, systems biology, physics, and economic gam theory, all of which explored the relationship of computer science and its theory to their area
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