论文标题
跨区域的纠缠激发和自动运营商
Intertwiner Entanglement Excitation and Holonomy Operator
论文作者
论文摘要
在循环量子重力框架中，旋转网络状态在不同空间点的几何形状之间带有纠缠。这种跨性别的纠缠是规范不变的，来自旋转和互换器的量子叠加。双方纠缠可以解释为距离的见证，而多部分纠缠反映了量子几何形状的曲率。本工作调查了双方和多部分的纠缠在整体操作员的作用下如何变化，这是环路量子重力动力学的基本构建块。我们揭示了纠缠激发与尸体操作员的分散之间的关系。这导致了通过纠缠动力学的散装几何形状和边界可观察到的新有趣的联系。
In the loop quantum gravity framework, spin network states carry entanglement between quantum excitations of the geometry at different space points. This intertwiner entanglement is gauge-invariant and comes from quantum superposition of spins and intertwiners. Bipartite entanglement can be interpreted as a witness of distance, while multipartite entanglement reflects the curvature of the quantum geometry. The present work investigates how the bipartite and multipartite intertwiner entanglement changes under the action of the holonomy operator, which is the basic building block of loop quantum gravity's dynamics. We reveal the relation between entanglement excitation and the dispersion of the holonomy operator. This leads to a new interesting connection between bulk geometry and boundary observables via the dynamics of entanglement.
