A useful way to obtain the central charge of entanglement Hamiltonian -- Nested entanglement entropy

TL;DR

This paper reviews how to determine the central charge of a critical entanglement Hamiltonian using nested entanglement entropy, highlighting its application to various quantum many-body systems.

Contribution

It consolidates methods for extracting the central charge from nested entanglement entropy and applies this to analyze entanglement properties of specific quantum models.

Findings

Central charge can be obtained from nested entanglement entropy.

Identified critical phenomena in entanglement Hamiltonians.

Applied method to valence-bond-solid and quantum hard-square models.

Abstract

In this paper, we review how to obtain the central charge of a critical entanglement Hamiltonian through the nested entanglement entropy which was first introduced in [J. Lou et al. PRB 84, 245128 (2011)]. The critical phenomena of the entanglement Hamiltonian can be identified by the central charge obtained by the nested entanglement entropy. We review our previous studies[J. Lou et al. PRB 84, 245128 (2011), S. Tanaka et al. PRA 87, 214401 (2013)] in which we investigated certain entanglement nature of two-dimensional valence-bond-solid (VBS) state and quantum hard-square models on square and triangle ladders using the nested entanglement entropy.