HET seminar: Equilibration in matrix quantum mechanics

Speaker: Yasuhiro Sekino

Title: Equilibration in matrix quantum mechanics

Abstract: We find the energy spectrum of a matrix model, and prove some theorems about equilibration in this model. Our model is quantum mechanics of two 2 by 2 matrices, interacting via a commutator-squared term, which can be regarded as a toy model for BFSS matrix theory (matrix model for M-theory). We perform a fully quantum mechanical analysis by numerically diagonalizing the Hamiltonian, and find an interesting energy-angular momentum relation closely resembling the Regge trajectories. We find a bound on the "effective dimension," and show that this model equilibrates. Based on work with Robert Hubener and Jens Eisert (JHEP 1504 (2015) 166, and work in progress).