2011/04/30 by Curtis T. Asplund, David Berenstein, Diego Trancanelli · 5 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Diagonal #Eigenvalues and eigenvectors #Geometry #Mathematics #Physics #Plane (geometry) #Plane wave #Quantum #Quantum mechanics #Semiclassical physics #Thermalisation #Time evolution #hep-th
paper · pdf · doi:10.1103/physrevlett.107.171602
published as Phys. Rev. Lett. 107, 171602 (2011) · 5 pages, 5 figures, revtex4 format; v2: minor typos fixed; v3: 8 pages, 9 figures, minor changes, includes a supplement as appeared on PRL
openalex publication_date 2011/10/19 · arxiv created 2012/05/04 · arxiv updated 2012/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report on a numerical simulation of the classical evolution of the plane-wave matrix model with semiclassical initial conditions. Some of these initial conditions thermalize and are dual to a black hole forming from the collision of D-branes in the plane-wave geometry. In particular, we consider a large fuzzy sphere (a D2-brane) plus a single eigenvalue (a D0 particle) going exactly through the center of the fuzzy sphere and aimed to intersect it. Including quantum fluctuations of the off-diagonal modes in the initial conditions, with sufficient kinetic energy the configuration collapses to a small size. We also find evidence for fast thermalization: rapidly decaying autocorrelation functions at late times with respect to the natural time scale of the system.