4.4 Article

Fast scramblers, horizons and expander graphs

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2012)016

Keywords

AdS-CFT Correspondence; Black Holes; Black Holes in String Theory

Funding

  1. MEC
  2. FEDER [FPA2009-07908]
  3. Spanish Consolider-Ingenio Programme CPAN [CSD2007-00042]
  4. Comunidad Autonoma de Madrid [HEPHACOS S2009/ESP-1473]
  5. FPU fellowship from MICINN

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We propose that local quantum systems defined on expander graphs provide a simple microscopic model for thermalization on quantum horizons. Such systems are automatically fast scramblers and are motivated from the membrane paradigm by a conformal transformation to the so-called optical metric.

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