English

Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice

Statistical Mechanics 2026-04-13 v1 Mathematical Physics math.MP Quantum Physics

Abstract

By extending the method developed by Shiraishi, we prove that the quantum compass model on the square lattice does not possess any local conserved quantities except for the Hamiltonian itself.

Keywords

Cite

@article{arxiv.2502.10791,
  title  = {Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice},
  author = {Mahiro Futami and Hal Tasaki},
  journal= {arXiv preprint arXiv:2502.10791},
  year   = {2026}
}

Comments

15 pages, 2 figures