ABSTRACT
We calculate the time evolution of entanglement entropy in two-dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be interpreted as the production of entangled pairs. For the setup, which mimics black hole formation and evaporation, we find that the evolution follows the ideal Page curve. We perform these computations by constructing the gravity dual of the moving mirror model via holography. We also argue that our holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.
ABSTRACT
We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs). In the holographic CFT, such a state with double excitation is dual to an anti-de Sitter space with two massive particles injected from the boundary. We show that the growth after the double local excitations in pure CFT is universal and is given by the sum of two local quenches with an additional negative term. This negative contribution can be interpreted naturally in holography as being due to the attractive force of gravity. On the CFT side, this evaluation of the entanglement entropy is accomplished by a special limit of six-point functions, where we employ the fusion matrix approach for multipoint conformal blocks developed by the authors [J. High Energy Phys. 08 (2019) 063JHEPFG1029-847910.1007/JHEP08(2019)063].
ABSTRACT
We present a derivation of the holographic dual of logarithmic negativity in AdS_{3}/CFT_{2} that was recently conjectured in Phys. Rev. D 99, 106014 (2019PRVDAQ2470-001010.1103/PhysRevD.99.106014). This is given by the area of an extremal cosmic brane that terminates on the boundary of the entanglement wedge. The derivation consists of relating the recently introduced Rényi reflected entropy to the logarithmic negativity in holographic conformal field theories. Furthermore, we clarify previously mysterious aspects of negativity at a large central charge seen in conformal blocks and comment on generalizations to generic dimensions, dynamical settings, and quantum corrections.
