Video URL
https://pirsa.org/25050024Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement
APA
Kobayashi, R. (2025). Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement. Perimeter Institute for Theoretical Physics. https://pirsa.org/25050024
MLA
Kobayashi, Ryohei. Universal Microscopic Descriptions for Anomalies and Long-Range Entanglement. Perimeter Institute for Theoretical Physics, May. 07, 2025, https://pirsa.org/25050024
BibTex
@misc{ scivideos_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 for Theoretical Physics}, year = {2025}, month = {may}, note = {PIRSA:25050024 see, \url{https://scivideos.org/index.php/pirsa/25050024}} }
Ryohei Kobayashi Institute for Advanced Study (IAS)
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.