Thermalization of many many-body interacting Sachdev-Ye-Kitaev models

We investigate the nonequilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in $q\ensuremath{\rightarrow}\ensuremath{\infty}$ limit, where $q/2$ denotes order random Dirac fermion interaction. extend previous results by Eberlein et al. [Phys. Rev. B 96, 205123 (2017)] to show that a single SYK Hamiltonian for $t\ensuremath{\ge}0$ is perfect thermalizer sense local Green's function instantaneously thermal. The only memories quantum state $t<0$ are its charge density and energy at $t=0$. Our result valid all states amenable $1/q$ expansion, which generated from an equilibrium asymptotic past acted upon arbitrary combination time-dependent Hamiltonians $t<0$. Importantly, this implies even manner.