The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

A bstract We study chaos and scrambling in unitary channels by considering their
entanglement properties as states. Using out-of-time-order correlation functions to diagnose …

A bstract We use holography to study sensitive dependence on initial conditions in strongly
coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a …

Entanglement and entropy are key concepts standing at the foundations of quantum and
statistical mechanics. Recently, the study of quantum quenches revealed that these …

A bstract We compute the time-dependent entanglement entropy of a CFT which starts in
relatively simple initial states. The initial states are the thermofield double for thermal states …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary
region R to the area of an extremal surface in the bulk spacetime. This extremal surface can …

The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …

A bstract Unitary, Lorentz-invariant quantum field theories in flat spacetime obey mi-
crocausality: commutators vanish at spacelike separation. For interacting theories in more …

We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …