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  • Can quantum systems succumb to their own (gravitational) attraction?

    Author(s)
    Colin, Samuel
    Durt, Thomas
    Willox, Ralph
    Griffith University Author(s)
    Colin, Samuel
    Year published
    2014
    Metadata
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    Abstract
    The gravitational interaction is generally considered to be too weak to be easily submitted to systematic experimental investigation in the quantum, microscopic, domain. In this paper we attempt to remedy this situation by considering the gravitational influence exerted by a crystalline nanosphere of mesoscopic size on itself, in the semi-classical, mean field, regime. We study in depth the self-localization process induced by the corresponding nonlinear potential of (gravitational) self-interaction. In particular, we characterize the stability of the associated self-collapsed ground state and estimate the magnitude of the ...
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    The gravitational interaction is generally considered to be too weak to be easily submitted to systematic experimental investigation in the quantum, microscopic, domain. In this paper we attempt to remedy this situation by considering the gravitational influence exerted by a crystalline nanosphere of mesoscopic size on itself, in the semi-classical, mean field, regime. We study in depth the self-localization process induced by the corresponding nonlinear potential of (gravitational) self-interaction. In particular, we characterize the stability of the associated self-collapsed ground state and estimate the magnitude of the corrections that are due to the internal structure of the object (this includes size-effects and corrections due to the discrete, atomic, structure of the sphere). Finally, we derive an approximated, Gaussian, dynamics which mimics several essential features of the self-gravitating dynamics and, based on numerical results derived from this model, we propose a concrete experimental setting which we believe might, in the foreseeable future, reveal the existence of gravitational self-interaction effects.
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    Journal Title
    Classical and Quantum Gravity
    Volume
    31
    Issue
    24
    DOI
    https://doi.org/10.1088/0264-9381/31/24/245003
    Subject
    Quantum Physics not elsewhere classified
    Mathematical Sciences
    Physical Sciences
    Publication URI
    http://hdl.handle.net/10072/67303
    Collection
    • Journal articles

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