Generalized Spin Helix States as Quantum Many-Body Scars in Partially Integrable Models

• URL: http://arxiv.org/abs/2403.14755v1
• Date: Thu, 21 Mar 2024 18:00:08 GMT
• Title: Generalized Spin Helix States as Quantum Many-Body Scars in Partially Integrable Models
• Authors: He-Ran Wang, Dong Yuan,
• Abstract summary: Quantum many-body scars are excited eigenstates of non-integrable Hamiltonians. We provide a mechanism to construct partially integrable models with arbitrarily large local Hilbert space dimensions. Our constructions establish an intriguing connection between integrability and quantum many-body scars.
• Score: 16.435781513979975
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum many-body scars are highly excited eigenstates of non-integrable Hamiltonians which violate the eigenstate thermalization hypothesis and are embedded in a sea of thermal eigenstates. We provide a general mechanism to construct partially integrable models with arbitrarily large local Hilbert space dimensions, which host exact many-body scars. We introduce designed integrability-breaking terms to several exactly solvable spin chains, whose integrable Hamiltonians are composed of the generators of the Temperley-Lieb algebra. In the non-integrable subspace of these models, we identify a special kind of product states -- the generalized spin helix states as exact quantum many-body scars, which lie in the common null space of the non-Hermitian generators of the Temperley-Lieb algebra and are annihilated by the integrability-breaking terms. Our constructions establish an intriguing connection between integrability and quantum many-body scars, meanwhile provide a systematic understanding of scarred Hamiltonians from the perspective of non-Hermitian projectors.

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