Many body physics from a quantum information perspective

TL;DR

This paper reviews how quantum information concepts like entanglement and tensor networks provide new insights and methods for understanding many-body physics, including recent developments like quantum kinetic Ising models.

Contribution

It offers a comprehensive overview of quantum information techniques applied to many-body physics, highlighting recent advances and novel approaches such as quantum kinetic Ising models.

Findings

Entanglement area laws underpin many states in many-body systems.

Matrix product states effectively describe area-law abiding states.

Quantum kinetic Ising models represent a new approach in the field.

Abstract

The quantum information approach to many body physics has been very successful in giving new insight and novel numerical methods. In these lecture notes we take a vertical view of the subject, starting from general concepts and at each step delving into applications or consequences of a particular topic. We first review some general quantum information concepts like entanglement and entanglement measures, which leads us to entanglement area laws. We then continue with one of the most famous examples of area-law abiding states: matrix product states, and tensor product states in general. Of these, we choose one example (classical superposition states) to introduce recent developments on a novel quantum many body approach: quantum kinetic Ising models. We conclude with a brief outlook of the field.