Interesting phenomena happen when multi-SYK models or mulit-AdS2 spaces are coupled with each other.
This talk is consisted of two parts. In the first part, we study phase transition and charge transport in
SYK/AdS2 lattices, where local criticality and semi-holography play crucial roles. In the second part,
we couple two entangled systems with different temperatures. The initially state is taken to be a
thermo-field-double state which is dual to an eternal black hole. We find an anomalous heat flow via
the wormhole with a proper interaction, which transfer the energy from the cold system to the hot system.
