The authors derive two coupled diagrammatic equations that organize perturbative calculations of two-point correlation functions in homogeneous and inhomogeneous superfluids, recovering the acoustic-metric limit in the hydrodynamic regime.
Gravitational Waves and Black Hole perturbations in Acoustic Analogues
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abstract
Phonons in Bose-Einstein condensates propagate as massless scalar particles on top of an emergent acoustic metric. This hydrodynamics/gravity analogy can be exploited to realize acoustic black holes, featuring an event horizon that traps phonons. We show that by an appropriate external potential, gravitational wave-like perturbations of the acoustic metric can be produced. Such perturbations can be used to excite an acoustic black hole, which should then relax by phonon emission.
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A diagrammatic approach to correlation functions in superfluids
The authors derive two coupled diagrammatic equations that organize perturbative calculations of two-point correlation functions in homogeneous and inhomogeneous superfluids, recovering the acoustic-metric limit in the hydrodynamic regime.