Lorenzo Gotta 1 Leonardo Mazza 1 Pascal Simon 2 Guillaume Roux 1
Lorenzo Gotta, Leonardo Mazza, Pascal Simon, Guillaume Roux. Exact many-body scars based on pairs or multimers in a chain of spinless fermions. Physical Review B, 2022, 106 (23), pp.235147. ⟨10.1103/physrevb.106.235147⟩. ⟨hal-03758523⟩
We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $\eta$-pairing states are quantum many-body scars of the model. These states are excited states and display subvolume entanglement entropy scaling; they form a tower of states that are equally spaced in energy (resulting in periodic oscillations in the Loschmidt echo and in the time evolution of observables for initial states prepared in a superposition of them) and are atypical in the sense that they weakly break the eigenstate thermalization hypothesis, while the other excited states are thermal. We conclude by presenting models with a tower of scar states generated by multimers located at the edge of the Brillouin zone.
- 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques
- 2. LPS – Laboratoire de Physique des Solides