  We study the real time formation of the ground state of two coupled SYK
models. This is a highly entangled state which is close to the thermofield
double state and can be viewed as a wormhole. We start from a high temperature
state, we let it cool by coupling to a cold bath. We numerically solve for the
large N dynamics. Our main result is that the system forms a wormhole by going
through a region with negative specific heat, taking time that is independent
of N. The dynamics is smooth everywhere and it seems to follow the equilibrium
thermodynamic configurations of the microcanonical ensemble. Also we comment on
the relation between this coupled SYK model and Jackiw-Teitelboim gravity
theory with bulk fields.
