Dynamics of Charge-Resolved Entanglement after a Local Quench

Noa Feldman, Moshe Goldstein

Published 2019-05-26Version 1

Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many body physics. An interesting twist arises when the system considered has symmetries leading to conserved quantities: Recent studies introduced a way to define, represent in field theory, calculate for 1+1D conformal systems, and measure, the contribution of individual charge sectors to the entanglement measures between different parts of a system in its ground state. In this paper, we apply these ideas to the time evolution of the charge-resolved contributions to the entanglement entropy and negativity after a local quantum quench. We employ conformal field theory techniques, the time-dependent density matrix renormalization group algorithm, and exact solution in the noninteracting limit, finding good agreement between all these methods.