Entanglement in solvable many-particle models

TL;DR

This paper reviews how entanglement in many-particle systems can be analyzed using solvable lattice models, focusing on spectral methods and entanglement features in ground states and dynamics.

Contribution

It introduces a thermodynamic approach to study entanglement in solvable models, combining analytical and numerical techniques for various cases.

Findings

Spectral methods effectively characterize entanglement properties.

Ground-state entanglement features are elucidated for standard models.

Time evolution of entanglement is analyzed using the proposed framework.

Abstract

Lecture notes for the Brazilian School on Statistical Mechanics, Natal, Brazil, July 2011. The five lectures introduce to the description of entanglement in many-particle systems and review the ground-state entanglement features of standard solvable lattice models. This is done using a thermodynamic formulation in which the eigenvalue spectrum of a certain Hamiltonian determines the entanglement properties. The methods to obtain it are discussed and results, both analytical and numerical, for various cases including time evolution are presented.