PIRSA:25050024

Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement

Kobayashi, R. (2025). Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement. Perimeter Institute. https://pirsa.org/25050024

Kobayashi, Ryohei. Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement. Perimeter Institute, May. 07, 2025, https://pirsa.org/25050024 

          @misc{ pirsa_PIRSA:25050024,
            doi = {10.48660/25050024},
            url = {https://pirsa.org/25050024},
            author = {Kobayashi, Ryohei},
            keywords = {Quantum Information},
            language = {en},
            title = {Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {may},
            note = {PIRSA:25050024 see, \url{https://pirsa.org}}
          }

Ryohei Kobayashi Institute for Advanced Study (IAS)

Talk numberPIRSA:25050024
DOI10.48660/25050024
Collection
Talk Type Scientific Series
Subject

Abstract

I will present a unified framework for understanding the statistics and anomalies of excitations—ranging from particles to higher-dimensional objects—in quantum lattice systems. We introduce a general method to compute the quantized statistics of Abelian excitations in arbitrary dimensions via Berry phases of locality-preserving symmetry operations, uncovering novel statistics for membrane excitations. These statistics correspond to quantum anomalies of generalized global symmetries and imply obstructions to gauging, enforcing long-range entanglement. In particular, we show that anomalous higher-form symmetries enforce intrinsic long-range entanglement, meaning that fidelity with any SRE states must exhibit exponential decay, unlike ordinary (0-form) symmetry anomalies. As an application, we identify a new example of (3+1)D mixed-state topological order with fermionic loop excitations, characterized by a breakdown of remote detectability linked to higher-form symmetry anomalies.