Related papers: Exact many-body scars based on pairs or multimers in a chain of spinless fermions

Exact many-body scars based on pairs or multimers in a chain of spinless fermions

URL: http://arxiv.org/abs/2207.07531v3
Date: Mon, 21 Nov 2022 10:58:28 GMT
Title: Exact many-body scars based on pairs or multimers in a chain of spinless fermions
Authors: Lorenzo Gotta, Leonardo Mazza, Pascal Simon, Guillaume Roux
Abstract summary: We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $eta$-pairing states are quantum many-body scars. These states are excited states and display subvolume entanglement entropy scaling.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: 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 extend the approach by presenting models with a tower of scar states generated by multimers located at the edge of the Brillouin zone.

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