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 …

We propose a codimension-two holography between a gravitational theory on ad+ 1
dimensional wedge spacetime and ad-1 dimensional CFT which lives on the corner of the …

A bstract We propose an optimization procedure for Euclidean path-integrals that evaluate
CFT wave functionals in arbitrary dimensions. The optimization is performed by minimizing …

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 discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

We derive in detail several universal features in the time evolution of entanglement entropy
and other nonlocal observables in quenched holographic systems. The quenches are such …

A bstract We present a first-principles CFT calculation corresponding to the spherical
collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we …

A bstract We propose a free falling particle in an AdS space as a holographic model of local
quench. Local quenches are triggered by local excitations in a given quantum system. We …

In this paper, we propose an {\it exact holographic mapping} which is a unitary mapping from
the Hilbert space of a lattice system in flat space (boundary) to that of another lattice system …