Max-Planck-Institut für Gravitationsphysik,   Albert-Einstein-Institut

## Notes on the holographic entanglement entropy near a 1 + 1 dimensional critical point

 Starts at: Tue 30 May 2017, 14:00 Speaker: Mitsutoshi Fujita Institut: U. Kentucky Abstract: We examine the behavior of entanglement entropy SEE of a subsystem A in a fully backreacted holographic model of a 1-plus-1 dimensional p wave superconductor across the phase transition. For a given temperature, the system goes to a super-conducting phase beyond a critical value of the charge density. The entanglement entropy, considered as a function of the charge density at a given temperature, has a cusp at the critical point. In addition, we find that there are three different behaviors in the condensed phase, depending on the subsystem size. For a subsystem size l smaller than a critical size lc1, SEE continues to increase as a function of the charge density as we cross the phase transition. When l lies between lc1 and another critical size lc2 the entanglement entropy displays a non-monotonic behavior, while for l larger than lc2 it decreases monotonically. At large charge densities SEE appears to saturate. Seminartype: Ordinary Room: Seminarraum 0.01 Contact: Matin Mojaza