Charge imbalance resolved R\'enyi negativity for free compact boson: Two disjoint interval case
High Energy Physics - Theory
2023-02-17 v2 Statistical Mechanics
Quantum Physics
Abstract
In this paper, we study the symmetry decomposition of R\'enyi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals. We obtain multi-charged and charged R\'enyi negativity moments by computing the four-point correlator of flux-generating vertex operators on the Riemann surface. We then obtain charge imbalance resolved R\'enyi negativity by taking the Fourier transform of the charged moments. Finally, we match our results against the tight-binding model as a numerical check.
Keywords
Cite
@article{arxiv.2210.06743,
title = {Charge imbalance resolved R\'enyi negativity for free compact boson: Two disjoint interval case},
author = {Himanshu Gaur and Urjit A. Yajnik},
journal= {arXiv preprint arXiv:2210.06743},
year = {2023}
}
Comments
v2, 27 pages, 9 figures. New references added. Accepted for publication in JHEP