Real-Time Quantum Dynamics on the Fuzzy Sphere: Chaos and Entanglement

arXiv:2605.06985 · hep-th, quant-ph · Submitted 2026-05-07 · Read on arXiv

hep-th, quant-ph

Submitted: 2026-05-07

Updated: 2026-09-18

Comments: 50 pages, 11 figures, updated figures, added references, expanded discussions section 2.4. Published version

Journal ref: Phys. Rev. D 114, 065014, September 2026

DOI: 10.1103/194z-9gqd

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 42× in this paper · explained in 3 episodes
• Entanglement Entropy — 25× in this paper · explained in 2 episodes
• Trace — 14× in this paper · explained in 2 episodes
• Chaotic Dynamics — 12× in this paper · explained in 2 episodes
• Consistency — 6× in this paper · explained in 3 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Initial Data — 3× in this paper · explained in 2 episodes
• Self-consistency — 3× in this paper · explained in 2 episodes
• Wigner function — 3× in this paper · explained in 2 episodes
• Cooperation — 1× in this paper · explained in 2 episodes

Sources

• Fast Scramblers
• Evidence for fast thermalization in the plane-wave matrix model
• Black holes and the butterfly effect
• Chaos in Classical D0-Brane Mechanics
• The smallest matrix black hole model in the classical limit
• A bound on chaos
• Comments on the Sachdev-Ye-Kitaev model
• Quantum Black Hole Formation in the BFSS Matrix Model
• Chaos in the BMN matrix model
• Precision lattice test of the gauge/gravity duality at large-$N$
• Chaos in Matrix Models and Black Hole Evaporation
• Entanglement entropy converges to classical entropy around periodic orbits
• Real-time dynamics of matrix quantum mechanics beyond the classical approximation
• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Chaos from Massive Deformations of Yang-Mills Matrix Models
• Chaotic Dynamics of the Mass Deformed ABJM Model
• Holographic metals and the fractionalized Fermi liquid
• M Theory As A Matrix Model: A Conjecture
• Chaos in $SU(2)$ Yang-Mills Chern-Simons Matrix Model

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