Quantum correlations in (1+1)-dimensional systems

TL;DR

This paper explores quantum correlations and entanglement scaling in (1+1)-dimensional systems, analyzing their behavior under renormalization group flows using matrix product states and conformal field theory insights.

Contribution

It provides a detailed analysis of entanglement properties and their relation to order and RG flows in (1+1)-dimensional quantum systems, incorporating matrix product state methods.

Findings

Entanglement scales logarithmically with subsystem size in conformal systems.

RG flows influence entanglement and order relations in low-dimensional quantum systems.

Matrix product states effectively capture entanglement structure in these models.

Abstract

Contents: 1.- Introduction 2.- Scaling of entanglement in (1+1)-dimensional systems 3.- Entanglement and RG-flows 4.- Matrix Product States Appendix A.- Entanglement and order relations B.- Hilbert space in a conformal theory