Strong subadditivity and emergent surface

Bin Chen and Jiang Long
Phys. Rev. D 90, 066012 – Published 23 September 2014

Abstract

In this paper, we introduce two bounds which we call the upper differential entropy and the lower differential entropy for an infinite family of intervals (strips) in quantum field theory. The two bounds are equal provided that the theory is translational invariant and the entanglement entropy varies smoothly with respect to the interval. When the theory has a holographic dual, strong subadditivity of entanglement entropy indicates that there is always an emergent surface whose gravitational entropy is exactly given by the bound.

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  • Received 10 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.066012

© 2014 American Physical Society

Authors & Affiliations

Bin Chen1,2,3,* and Jiang Long1,†

  • 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, No. 5 Yiheyuan Road, Beijing 100871, People’s Republic of China
  • 2Collaborative Innovation Center of Quantum Matter, No. 5 Yiheyuan Road, Beijing 100871, People’s Republic of China
  • 3Center for High Energy Physics, Peking University, No. 5 Yiheyuan Road, Beijing 100871, People’s Republic of China

  • *bchen01@pku.edu.cn
  • lj301@pku.edu.cn

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Vol. 90, Iss. 6 — 15 September 2014

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