Vacuum excitation by sudden appearance and disappearance of a Dirichlet wall in a cavity

Tomohiro Harada, Shunichiro Kinoshita, and Umpei Miyamoto
Phys. Rev. D 94, 025006 – Published 5 July 2016

Abstract

Vacuum excitation by time-varying boundary conditions is not only of fundamental importance but also has recently been confirmed in a laboratory experiment. In this paper, we study the vacuum excitation of a scalar field by the instantaneous appearance and disappearance of a two-sided Dirichlet wall in the middle of a one-dimensional cavity, as toy models of bifurcating and merging spacetimes, respectively. It is shown that the energy flux emitted positively diverges on the null lines emanating from the appearance and disappearance events, which is analogous to the result of Anderson and DeWitt. This result suggests that the semiclassical effect prevents the spacetime both from bifurcating and merging. In addition, we argue that the diverging flux in the disappearance case plays an interesting role to compensate for the low ambient energy density after the disappearance, which is lower than the zero-point level.

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  • Received 6 January 2016

DOI:https://doi.org/10.1103/PhysRevD.94.025006

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Tomohiro Harada1,*, Shunichiro Kinoshita2,†, and Umpei Miyamoto3,‡

  • 1Department of Physics, Rikkyo University, Tokyo 171-8501, Japan
  • 2Department of Physics, Faculty of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan
  • 3RECCS, Akita Prefectural University, Akita 015-0055, Japan

  • *harada@rikkyo.ac.jp
  • kinoshita@phys.chuo-u.ac.jp
  • umpei@akita-pu.ac.jp

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Issue

Vol. 94, Iss. 2 — 15 July 2016

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