# Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians

## TL;DR

This paper explores the fundamental link between quantum many-body scars in the PXP model and the AKLT Hamiltonian, revealing how embedded Hamiltonians explain nonthermal eigenstates and their symmetry origins.

## Contribution

It establishes a theoretical connection between the PXP model and the AKLT Hamiltonian using embedded Hamiltonian framework, clarifying the origin of quantum many-body scars.

## Key findings

- The PXP Hamiltonian shares nonthermal eigenstates with the AKLT state.
- Embedded Hamiltonian analysis reveals symmetry-based origins of scars.
- The study clarifies why certain eigenstates deviate from thermalization.

## Abstract

We elucidate the deep connection between the PXP model, which is a standard model of quantum many-body scars, and the AKLT Hamiltonian. Using the framework of embedded Hamiltonians, we establish the connection between the PXP Hamiltonian and the AKLT Hamiltonian, which clarifies the reason why the PXP Hamiltonian has nonthermal energy eigenstates similar to the AKLT state. Through this analysis, we find that the presence of such nonthermal energy eigenstates reflects the symmetry in the AKLT Hamiltonian.