Journal Article

Holographic quantum circuits from splitting/joining local quenches

Wei, Zixia, Takayanagi, Tadashi, Shimaji, Teppei

2019

Overview

A bstract We study three different types of local quenches (local operator, splitting and joining) in both the free fermion and holographic CFTs in two dimensions. We show that the computation of a quantity called entanglement density, provides a systematic method to capture essential properties of local quenches. This allows us to clearly understand the differences between the free and holographic CFTs as well as the distinctions between three local quenches. We also analyze holographic geometries of splitting/joining local quenches using the AdS/BCFT prescription. We show that they are essentially described by time evolutions of boundary surfaces in the bulk AdS. We find that the logarithmic time evolution of entanglement entropy arises from the region behind the Poincaré horizon as well as the evolutions of boundary surfaces. In the CFT side, our analysis of entanglement density suggests such a logarithmic growth is due to initial non-local quantum entanglement just after the quench. Finally, by combining our results, we propose a new class of gravity duals, which are analogous to quantum circuits or tensor networks such as MERA, based on the AdS/BCFT construction.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: AdS-CFT Correspondence / Behavior / Circuits / Classical and Quantum Gravitation / Conformal Field Theory / Density / Elementary Particles / Fermions / Geometry / Gravity / High energy physics / Holography and condensed matter physics (AdS/CMT) / Physics / Physics and Astronomy / Quantum entanglement / Quantum Field Theories / Quantum Field Theory / Quantum mechanics / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / Spacetime / Splitting / String Theory / Tensors