Scrambling with Matrix Black Holes

Abstract

If black holes are not to be dreaded syncs of information but be fully described by unitary evolution, they must scramble in-falling data and eventually leak it through Hawking radiation. Sekino and Susskind have conjectured that black holes are fast scramblers: they generate entanglement at a remarkably efficient rate, with characteristic time scaling logarithmically with the entropy. In this work, we focus on Matrix theory -- M theory in the light-cone frame -- and directly probe the conjecture. We develop a concrete test bed for quantum gravity using the fermionic variables of Matrix theory and show that the problem becomes that of chains of qubits with an intricate network of interactions. We demonstrate that the black hole system evolves much like a Brownian quantum circuit, with strong indications that it is indeed a fast scrambler. We also analyze the Berenstein-Maldacena-Nastase model and reach the same tentative conclusion.

36 pages, 9 figures; v2: citations added

References in corpus (4)

• Black holes as mirrors: quantum information in random subsystems
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Addendum to Fast Scramblers
• Quantitative approaches to information recovery from black holes

Cited by in corpus (12)

• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Inhomogeneous holographic thermalization
• Holographic Space-time and Black Holes: Mirages As Alternate Reality
• Mass of a Black Hole Firewall
• Equilibration in low-dimensional quantum matrix models
• Time dependence of entanglement entropy on the fuzzy sphere
• Black hole collapse and democratic models
• Hall Scrambling on Black Hole Horizons
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• Fast Scramblers, Democratic Walks and Information Fields
• On Emergent Geometry from Entanglement Entropy in Matrix theory
• The Membrane Paradigm and Firewalls