Quasi-Normal Modes from Non-Commutative Matrix Dynamics

Abstract

We explore the connection between the process of relaxation in the BMN matrix model and the physics of black holes in AdS/CFT. Focusing on Dyson-fluid solutions of the matrix model, we perform numerical simulations of the real time dynamics of the system. By quenching the equilibrium distribution we study the quasi-normal oscillations of scalar single trace observables, we isolate the lowest quasi-normal mode, and we determine its frequencies as function of the energy. Considering the BMN matrix model as a truncation of $\mathcal{N}=4$ SYM, we also compute the frequencies of the quasi-normal modes of the dual scalar fields in the AdS${}_5$-Schwarzschild background. We compare the results, and we find a surprising similarity.

19 pages, 10 figures, v2: presentation and discussion improved in various points according to the referee report, references added, to appear in JHEP

References in corpus (6)

• Precision lattice test of the gauge/gravity duality at large-$N$
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Chaos in Classical D0-Brane Mechanics
• Holographic Coulomb branch vevs
• Thermodynamics of the BMN matrix model at strong coupling
• N=4 Supersymmetry on a Space-Time Lattice

Cited by in corpus (4)

• Quantum chaos, thermalization and entanglement generation in real-time simulations of the BFSS matrix model
• Partial Deconfinement at Strong Coupling on the Lattice
• Hilbert-Space Ergodicity in Driven Quantum Systems: Obstructions and Designs
• Real Time Quantum Gravity Dynamics from Classical Statistical Yang-Mills Simulations