Recent Developments in the Holographic Description of Quantum Chaos

Figure 6

Bulk picture of thermalization. The figure represents an asymptotically black hole geometry. The boundary is at the top edge, while the black hole horizon is at the bottom edge. The black hole’s interior is shown in gray. The boundary operator is dual to the bulk field . From the point of view of the boundary theory the perturbation produced by is initially localized around the point , but it gets delocalized over a region that increases with time. In the bulk description this is described by a particle (field excitation) that is initially close to the boundary and then falls into the black hole.