Dynamics of charge imbalance resolved negativity after a local joining quench

TL;DR

This paper analyzes the time evolution of charge imbalance resolved negativity after a local joining quench in a 1+1D free complex boson CFT, combining analytical conformal mapping and numerical lattice tests.

Contribution

It provides the first analytical calculation of charge imbalance resolved negativity dynamics in a free boson CFT after a local quench, supported by numerical lattice simulations.

Findings

Universal analytical results for negativity dynamics

Charge-resolved negativity can be reconstructed from total negativity

Numerical validation of CFT predictions

Abstract

In this paper, we consider the dynamics of charge imbalance resolved negativity after a local joining quench in the 1 + 1 dimensional free complex boson CFT. In the first part, we study the local joining quench by applying conformal maps, obtaining analytical universal results. We first calculate the quench dynamics of charged logarithmic negativity. Then using the Fourier transformation, we obtain the charge imbalance resolved negativity. The total negativity can be recovered from the charge-resolved ones. In the second part, we test our CFT predictions against the underlying lattice model numerically. Finally, we explain our results based on the quasi-particle picture.