We study the various head-on collisions of two bunches of DO-branes and their real-time evolution in the BFSS matrix model in classical limit. For a various matrix size N respecting the 't Hooft scaling, we find quantitative evidence for the formation of a single bound state of DO-branes at late time, which is matrix model thermalization and dual to the formation of a larger black hole.
The authors would like to thank D. Berenstein, G. Gur-Ari, G. Ishiki, D. Kabat, J. Maltz, S. Shenker, M. Shigemori, H. Shimada, S. Shimasaki, S. Susskind, and S. Yamaguchi for stimulating discussions and comments. S.A. is supported in part by the Grant-in-Aid of the Ministry of Education, Science and Technology, Sports and Culture (No. 25287046) and the Strategic program for Innovative Research (SPIRE) Field 5, and JICFuS [26]. The work of M.H. is supported in part by the Grant-in-Aid of the Japanese Ministry of Education, Sciences and Technology, Sports and Culture (MEXT) for Scientific Research (No. 25287046). The work of N.I. is supported in part by JSPS KAKENHI Grant Number 25800143. The work of M.H. and N.I. were also supported in part by the National Science Foundation under Grant No. PHYS-1066293 and the hospitality of the Aspen Center for Physics.