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RESEARCH PRODUCT

Correlation patterns from massive phonons in 1+1 dimensional acoustic black holes: A toy model

Richard A. DudleyRoberto BalbinotAlessandro FabbriPaul R. Anderson

subject

High Energy Physics - TheorylongitudinalPhononOne-dimensional spacetoy modelFOS: Physical sciencesalternative theories of gravityGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyLongitudinal modeGeneral Relativity and Quantum CosmologyQuantum mechanics0103 physical sciencesexcited stateMassive phonons Hawking radiationcorrelation functionstructure010306 general physicsdimension: 2PhysicsToy model010308 nuclear & particles physicsMassless particleCorrelation function (statistical mechanics)Transverse planetransverseblack hole: acousticHigh Energy Physics - Theory (hep-th)General relativityQuantum Gases (cond-mat.quant-gas)correlation[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]phonon: massiveCondensed Matter - Quantum GasesHawking radiation

description

Transverse excitations in analogue black holes induce a mass like term in the longitudinal mode equation. With a simple toy model we show that correlation functions display a rather rich structure characterized by groups of parallel peaks. For the most part the structure is completely different from that found in the massless case.

10.1103/physrevd.98.124011https://hal.archives-ouvertes.fr/hal-01885839