标题： 广义自旋螺旋态作为部分可积模型中的量子多体疤痕 显示英文标题

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

摘要： 量子多体疤痕是不可积哈密顿量的高激发本征态，它们违反了本征态热化假说，并嵌入在热态本征态的海洋中。我们提供了一种通用机制来构建具有任意大的局部希尔伯特空间维度的部分可积模型，这些模型包含精确的多体疤痕。我们向几个精确可解的自旋链引入了设计的不可积项，其可积哈密顿量由Temperley-Lieb代数的生成元组成。在这些模型的不可积子空间中，我们识别出一种特殊的乘积态——广义自旋螺旋态作为精确的量子多体疤痕，它们位于Temperley-Lieb代数的非厄米生成元的公共零空间中，并被不可积项湮灭。我们的构造建立了一个有趣的可积性与量子多体疤痕之间的联系，同时从非厄米投影算符的角度提供了对带有疤痕的哈密顿量的系统理解。 显示英文摘要

摘要： 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.