Entanglement entropy reveals hidden connections between dimensions

Meng-Yuan Li of Sun Yat-sen University and Peng Ye have introduced a new measure, subdimensional entanglement entropy (SEE), to investigate how the geometry and topology of quantum matter jointly influence its universal properties. The researchers define SEE as an entanglement-based probe applied to embedded within a material, allowing them to distinguish geometric and topological contributions to a system’s behavior. Their work demonstrates that the subleading term of SEE exhibits in phases like cluster states, Z_q topological orders and fracton orders, revealing a connection between bulk entanglement and mixed-state symmetry on these subdimensional manifolds. These results establish SEE as a tool to explore both geometric-topological responses and a potential route to holography on subdimensional manifolds. This approach establishes a direct link between how a material’s shape and connectivity influence its fundamental quantum properties, moving beyond traditional classifications based solely on topology. A…