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矩阵积对称性与硬杆形变导致的热化破坏

Matrix Product Symmetries and Breakdown of Thermalization from Hard Rod Deformations.

作者信息

Borsi Márton, Pristyák Levente, Pozsgay Balázs

机构信息

MTA-ELTE "Momentum" Integrable Quantum Dynamics Research Group, Department of Theoretical Physics, Eötvös Loránd University, 1053 Budapest, Hungary.

Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Hungary.

出版信息

Phys Rev Lett. 2023 Jul 21;131(3):037101. doi: 10.1103/PhysRevLett.131.037101.

DOI:10.1103/PhysRevLett.131.037101
PMID:37540872
Abstract

We construct families of exotic spin-1/2 chains using a procedure called "hard rod deformation." We treat both integrable and nonintegrable examples. The models possess a large noncommutative symmetry algebra, which is generated by matrix product operators with a fixed small bond dimension. The symmetries lead to Hilbert space fragmentation and to the breakdown of thermalization. As an effect, the models support persistent oscillations in nonequilibrium situations. Similar symmetries have been reported earlier in integrable models, but here we show that they also occur in nonintegrable cases.

摘要

我们使用一种称为“硬杆变形”的方法构建了奇异自旋-1/2链的族。我们处理了可积和不可积的例子。这些模型拥有一个由具有固定小键维度的矩阵乘积算符生成的大的非对易对称代数。这些对称性导致希尔伯特空间碎片化和热化的破坏。因此,这些模型在非平衡情况下支持持续振荡。类似的对称性早些时候在可积模型中已有报道,但在这里我们表明它们也出现在不可积的情况中。

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