English

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

Statistical Mechanics 2019-08-30 v2 Strongly Correlated Electrons Quantum Physics

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.

Keywords

Cite

@article{arxiv.1904.05182,
  title  = {Connection between quantum-many-body scars and the AKLT model from the viewpoint of embedded Hamiltonians},
  author = {Naoto Shiraishi},
  journal= {arXiv preprint arXiv:1904.05182},
  year   = {2019}
}

Comments

11 pages, no figure