Instability of the Superfluid Flow as Black-Hole Lasing Effect

S. Finazzi, F. Piazza, M. Abad, A. Smerzi, and A. Recati
Phys. Rev. Lett. 114, 245301 – Published 17 June 2015
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Abstract

We show that the critical velocity of a superfluid flow through a penetrable barrier coincides with the onset of the analog black-hole lasing effect. This dynamical instability is triggered by modes resonating in an effective cavity formed by two horizons enclosing the barrier. The location of the horizons is set by v(x)=c(x), with v(x),c(x) being the local fluid velocity and sound speed, respectively. We compute the critical velocity analytically and show that it is univocally determined by the configuration of the horizons. In the limit of broad barriers, the continuous spectrum at the origin of the Hawking-like radiation and of the Landau energetic instability is recovered.

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  • Received 15 October 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.245301

© 2015 American Physical Society

Authors & Affiliations

S. Finazzi1,*, F. Piazza2,†, M. Abad3, A. Smerzi4, and A. Recati2,3,‡

  • 1Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot-Paris 7 and CNRS, Bâtiment Condorcet, 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France
  • 2Technische Universität München, James-Franck-Straße 1, 85748 Garching, Germany
  • 3INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy
  • 4QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy

  • *Present address: Mario Negri Institute for Pharmacological Research, Villa Camozzi, 24020 Ranica, Italy. stefano.finazzi@marionegri.it
  • francesco.piazza@ph.tum.de
  • recati@science.unitn.it

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Issue

Vol. 114, Iss. 24 — 19 June 2015

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