论文标题
SPT纠缠剂的拓扑不变
Topological invariants for SPT entanglers
论文作者
论文摘要
We develop a framework for classifying locality preserving unitaries (LPUs) with internal, unitary symmetries in $d$ dimensions, based on $(d-1)$ dimensional ``flux insertion operators" which are easily computed from the unitary. Using this framework, we obtain formulas for topological invariants of LPUs that prepare, or entangle, symmetry protected topological phases (SPTs). These公式在$（d+1）$尺寸``pump''$ d $ d $二维SPTs中充当浮部拓扑阶段的边缘不变式。对于1D SPT纠缠器和某些较高的尺寸SPT纠缠器，我们的公式是完全封闭形式的。
We develop a framework for classifying locality preserving unitaries (LPUs) with internal, unitary symmetries in $d$ dimensions, based on $(d-1)$ dimensional ``flux insertion operators" which are easily computed from the unitary. Using this framework, we obtain formulas for topological invariants of LPUs that prepare, or entangle, symmetry protected topological phases (SPTs). These formulas serve as edge invariants for Floquet topological phases in $(d+1)$ dimensions that ``pump" $d$-dimensional SPTs. For 1D SPT entanglers and certain higher dimensional SPT entanglers, our formulas are completely closed-form.
