10th Bologna Workshop on Conformal Field Theory and Integrable Models

Charge Imbalance resolved Rényi negativity of free compact boson

4 Sept 2023, 17:40

10m

Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

10 min Talk + Poster Gong Session for Posters

Speaker

Himanshu Gaur (Indian Institute of Technology Bombay)

Description

When a theory possesses an additive global internal symmetry, its spatial entanglement spectrum for the states with fixed a global charge may be resolved into the local charge sectors corresponding to the subsystem. This has been termed symmetry-resolved entanglement. Free compact bosons possess a global U(1) symmetry due to invariance under translations in the target space. I will discuss the symmetry resolution of entanglement between two disjoint intervals for free compact boson in its ground state. Since we have a mixed state in two disjoint interval, we must study the negativity measures. I will discuss the symmetry resolution of Renyi negativity in this proposed talk. While Renyi negativity in itself is not an optimal entanglement measure, but contains all the information needed to compute negativity measures.
Reference: https://link.springer.com/article/10.1007/JHEP02(2023)118

Presentation materials

Presentation.pdf