Fast scramblers, horizons and expander graphs

2012/04/30 by José L. F. Barbón, Jose L. F. Barbon, Javier M. Magán +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Conformal field theory #Conformal map #Expander graph #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Simple (philosophy) #Transformation (genetics) #gr-qc #hep-th #quant-ph

paper · pdf · doi:10.1007/jhep08(2012)016

22 pages, 2 figures. Added further discussion in section 3. Added references

arxiv created 2012/06/10 · openalex publication_date 2012/08/01 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Average entropy of a subsystem
• Expander graphs and their applications
• Decoherence, einselection, and the quantum origins of the classical
• The world as a hologram
• Disturbing Implications of a Cosmological Constant
• Evidence for Fast Thermalization in the Plane-Wave Matrix Model