River cross-sectional profiles satisfy the Friedmann equation for an Anti-de Sitter universe; the associated action extremizes friction and dissipation, and the extremum is a maximum by second variation analysis.
Superradiant scattering in fluids of light
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abstract
We theoretically investigate the scattering process of Bogoliubov excitations on a rotating photon-fluid. Using the language of Noether currents we demonstrate the occurrence of a resonant amplification phenomenon, which reduces to the standard superradiance in the hydrodynamic limit. We make use of a time-domain formulation where superradiance emerges as a transient effect encoded in the amplitudes and phases of propagating localised wavepackets. Our findings generalize previous studies in quantum fluids to the case of a non-negligible quantum pressure and can be readily applied also to other physical systems, in particular atomic Bose-Einstein condensates. Finally we discuss ongoing experiments to observe superradiance in photon fluids, and how our time domain analysis can be used to characterise superradiant scattering in non-ideal experimental conditions.
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Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.
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Laboratory rivers extremize friction and are cosmological analogues
River cross-sectional profiles satisfy the Friedmann equation for an Anti-de Sitter universe; the associated action extremizes friction and dissipation, and the extremum is a maximum by second variation analysis.