Advertisement

Journal of Low Temperature Physics

, Volume 150, Issue 3–4, pp 624–629 | Cite as

Zel’dovich-Starobinsky Effect in Atomic Bose-Einstein Condensates: Analogy to Kerr Black Hole

  • Hiromitsu Takeuchi
  • Makoto Tsubota
  • Grigory E. Volovik
Article

Abstract

We consider circular motion of a heavy object in an atomic Bose-Einstein condensate (BEC) at T=0 K. Even if the linear velocity of the object is smaller than the Landau critical velocity, the object may radiate quasiparticles and thus experience the quantum friction. The radiation process is similar to Zel’dovich-Starobinsky (ZS) effect—the radiation by a rotating black hole. This analogy emerges when one introduces the effective acoustic metric for quasiparticles. In the rotating frame this metric has an ergosurface, which is similar to the ergosurface in the metric of a rotating black hole. In a finite size BEC, the quasiparticle creation takes place when the ergosurface is within the condensate and occurs via quantum tunneling from the object into the ergoregion. The dependence of the radiation rate on the position of the ergosurface is investigated.

Keywords

Zel’dovich-Starobinsky effect Atomic Bose-Einstein condensate Kerr black hole 

PACS

03.75.Nt 03.75.Kk 04.62.+v 04.70.Dy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. Novello, M. Visser, G. Volovik (eds.), Artificial Black Holes (World Scientific, Singapore, 2002) Google Scholar
  2. 2.
    C. Barcelo, S. Liberati, M. Visser, Living Rev. Relativ. 8, 12 (2005) ADSGoogle Scholar
  3. 3.
    G.E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003) zbMATHGoogle Scholar
  4. 4.
    Ya. B, Zel’dovich. JETP Lett. 14, 180–181 (1971) ADSGoogle Scholar
  5. 5.
    A.A. Starobinsky, J. Exp. Theor. Phys. 37, 28–32 (1973) ADSGoogle Scholar
  6. 6.
    L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields, 4th edn. Course of Theoretical Physics Series, vol. 2 (Butterworth-Heinemann, Stoneham, 1994) Google Scholar
  7. 7.
    W.G. Unruh, Phys. Rev. Lett. 46, 1351 (1981) CrossRefADSGoogle Scholar
  8. 8.
    A. Calogeracos, G.E. Volovik, J. Exp. Theor. Phys. 69, 281–287 Google Scholar
  9. 9.
    T. Isoshima, K. Machida, Phys. Rev. A 60, 3313 (1999) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Hiromitsu Takeuchi
    • 1
  • Makoto Tsubota
    • 1
  • Grigory E. Volovik
    • 2
    • 3
  1. 1.Department of PhysicsOsaka City UniversityOsakaJapan
  2. 2.Low Temperature LaboratoryHelsinki University of TechnologyHelsinkiFinland
  3. 3.L.D. Landau Institute for Theoretical PhysicsMoscowRussia

Personalised recommendations