论文标题
准对称组和多体疤痕动力学
Quasi-symmetry groups and many-body scar dynamics
论文作者
论文摘要
在量子系统中，由哈密顿量的退化特征向量跨越的子空间可能具有比哈密顿本身更高的对称性。当可以从本地运营商生成这种增强的对称组时，我们称其为准对称组。当该组是一个谎言组时，与准对称组的某些发电机结合的外场会取消脱位性，并在退化子空间内准确地定期动态，即多体型尺度动力学（鉴于Hamiltonian是不可综合性的）。我们提供了两个相关方案，用于构建具有按需准对称基团的一维自旋模型，并在某些外部磁场下具有精确的预选产品或基质 - 产品状态的确切周期性演变。
In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian may have higher symmetries than those of the Hamiltonian itself. When this enhanced-symmetry group can be generated from local operators, we call it a quasi-symmetry group. When the group is a Lie group, an external field coupled to certain generators of the quasi-symmetry group lifts the degeneracy, and results in exactly periodic dynamics within the degenerate subspace, namely the many-body-scar dynamics (given that Hamiltonian is non-integrable). We provide two related schemes for constructing one-dimensional spin models having on-demand quasi-symmetry groups, with exact periodic evolution of a pre-chosen product or matrix-product state under certain external fields.
