Abstract:
Holography has taught us that spacetime is emergent and its properties depend on the entanglement structure of the dual theory. An interesting question is how changes in the entanglement structure affect the bulk dual description. In this talk, I will describe how local projective measurements performed on a subregion A of the boundary theory modify the bulk dual spacetime. The post-measurement bulk is cut off by end-of-the-world branes and is dual to the complementary unmeasured region A^c. Using a bulk calculation in AdS_3 and tensor network models of holography, I will show that the portion of bulk preserved after the measurement depends on the size of A and the state we project on. Interestingly, the post-measurement bulk includes regions that were part of the entanglement wedge of A before the measurement. When A is the union of two disconnected subregions, an entangled-disentangled phase transition occurs between the remaining two unmeasured subregions, corresponding to a connected-disconnected phase transition in the bulk dual description. Our results indicate that local projective measurements performed on a subregion A of the boundary theory teleport part of the bulk information contained in A into the complementary region A^c.