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  • Open Access

Periodic revivals from supersymmetry in a fermionic kinetically constrained model

Wouter Buijsman* and Pieter W. Claeys

  • *Contact author: buijsman@pks.mpg.de
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Phys. Rev. B 112, 115107 – Published 2 September, 2025

DOI: https://doi.org/10.1103/8ltb-z4vp

Abstract

Supersymmetry provides a natural playground for the construction of dynamically constrained lattice fermion models. We here illustrate how supersymmetry can be used to construct a fermionic equivalent of the PXP model with an adjustable chemical potential. This model is closely related to the N=2 supersymmetric M1 model, inheriting its integrability. The supersymmetric algebra additionally implies that the dynamics exhibit periodic revivals for specific initial states, including the Z2-ordered (every second site occupied) product state. These dynamics are reminiscent to those of the PXP model, a paradigmatic effective model in the field of quantum many-body scars. We draw a further parallel by uncovering eigenstates obeying subthermal entanglement scaling at energies given by (plus or minus) square roots of integers and relate these to special eigenstates of the M1 model. While we focus on a concrete model, our proposed approach is applicable to more general supersymmetric algebras, where it is expected to lead to nonergodic dynamics.

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Phys. Rev. B 112, 115107– Published 2 September, 2025
  • Received 9 January 2025
  • Revised 19 August 2025
  • Accepted 21 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by Max Planck Society.

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