2010

Some Calculable Contributions to Entanglement Entropy

Hertzberg, Mark P., Wilczek, Frank

Understand

Entanglement entropy appears as a central property of quantum systems in broad areas of physics.

  • However, its precise value is often sensitive to unknown microphysics, rendering it incalculable.
  • By considering parametric dependence on correlation length, we extract finite, calculable contributions to the entanglement entropy for a scalar field between the interior and exterior of a spatial domain of arbitrary shape.
  • The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide's cross-sectional geometry; its area, perimeter length, and integrated curvature.

Built on

  • H. P. Baltes and E. R. Hilf, (Bibliographisches Institut, Mannheim, 1976)

    1976

    Earlier work this paper cites.

  • O. Alvarez, Nucl. Phys. B 216

    1983

    Earlier work this paper cites.

  • M. Mezard, G. Parisi, and M. A. Virasoro, “Spin Glass Theory and Beyond” (World Scientific, Singapore, 1987)

    1987

    Earlier work this paper cites.

  • L. Bombelli, R. K. Koul, J. H. Lee and R. D. Sorkin, Phys. Rev. D 34, 373 (1986); M. Srednicki, Phys. Rev. Lett. 71

    1993

    Earlier work this paper cites.

  • C. G. Callan and F. Wilczek, Phys. Lett. B 333

    1994

    Earlier work this paper cites.

Similar

  • P. Calabrese and J. L. Cardy, J. Stat. Mech. 0406

    2004

    Cited alongside, same era.

  • H. Casini and M. Huerta, Phys. Lett. B 600

    2005

    Cited alongside, same era.

  • D. Gioev and I. Klich, Phys. Rev. Lett. 96, 100503 (2006)

    2006

    Cited alongside, same era.

  • D. V. Fursaev, Phys. Rev. D 73

    2006

    Cited alongside, same era.

  • S. Ryu and T. Takayanagi, JHEP 0608

    2006

    Cited alongside, same era.

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…