Exact Quantum Many-Body Scars in Higher-Spin Kinetically Constrained Models

• URL: http://arxiv.org/abs/2307.06357v1
• Date: Wed, 12 Jul 2023 18:00:01 GMT
• Title: Exact Quantum Many-Body Scars in Higher-Spin Kinetically Constrained Models
• Authors: Dong Yuan, Shun-Yao Zhang, Dong-Ling Deng
• Abstract summary: We find a variety of exact quantum many-body scars in higher-spin kinetically constrained models. Our results provide a much broader space for the emergence of quantum many-body scars and weak ergodicity breaking.
• Score: 9.849600810061727
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We discover a variety of exact quantum many-body scars in higher-spin kinetically constrained models, through the recently developed DMRG-S algorithm [Zhang et al., Phys. Rev. Lett. 131, 020402]. Specifically, for the higher-spin PXP model on arbitrary bipartite lattices of any spatial dimension, we find exact many-body scars that are equidistantly spaced in the energy spectrum and exhibit similar structures to the ground state of the Affleck-Kennedy-Lieb-Tasaki model. For the one-dimensional Fermi-Hubbard model with a tilted potential in a certain parameter regime, whose effective model is equivalent to a kinetically constrained spin model with four degrees of freedom on each site, we find several many-body scars at energy $E=0$ and $E=\pm \sqrt{2}$ that can be exactly represented as matrix product states with finite bond dimensions. Our results demonstrate that larger local degrees of freedom in the kinetically constrained models provide a much broader space for the emergence of quantum many-body scars and weak ergodicity breaking.

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