R\'enyi entropy and negativity for massless complex boson at conformal interfaces and junctions

TL;DR

This paper analyzes the entanglement properties of massless complex bosons coupled via conformal interfaces, deriving universal formulas for Re9nyi entropy and negativity, and validating results with numerical simulations.

Contribution

It extends entanglement measure calculations to complex bosonic systems with conformal interfaces, providing analytical formulas and numerical validation.

Findings

Entanglement measures grow logarithmically with system size.

Universal prefactors depend on interface details and bipartition.

Analytical predictions match numerical results for harmonic chains.

Abstract

We consider the ground state of a theory composed by $M$ species of massless complex bosons in one dimension coupled together via a conformal interface. We compute both the R\'enyi entropy and the negativity of a generic partition of wires, generalizing the approach developed in a recent work for free fermions. These entanglement measures show a logarithmic growth with the system size, and the universal prefactor depends both on the details of the interface and the bipartition. We test our analytical predictions against exact numerical results for the harmonic chain.