Scattering effect on entanglement propagation in RCFTs

TL;DR

This paper investigates how scattering affects entanglement propagation in rational conformal field theories (RCFTs), finding that entanglement remains conserved due to the system's integrability and finite quantum dimension.

Contribution

It demonstrates that in RCFTs, entanglement is unaffected by scattering events, highlighting the role of quantum dimension and integrability in entanglement dynamics.

Findings

Entanglement is conserved after scattering in RCFTs.

Finiteness of quantum dimension prevents entanglement change.

Results align with free quasiparticle picture post-quench.

Abstract

In this paper we discuss the scattering effect on entanglement propagation in RCFTs. In our setup, we consider the time evolution of excited states created by the insertion of many local operators. Our results show that because of the finiteness of quantum dimension, entanglement is not changed after the scattering in RCFTs. In this mean, entanglement is conserved after the scattering event in RCFTs, which reflects the integrability of the system. Our results are also consistent with the free quasiparticle picture after the global quenches.