Work

Generalized Kramers-Wannier Duality from Bilinear Phase Map

Year: 2026

Type: article

Abstract: We present the bilinear phase map, a concept that generalizes the Kramers-Wannier transformation to investigate unconventional gapped phases of qudit spin chains. Encoding the transformation in a matrix, the bilinear phase map enables the exploration of a broader spectrum of generalized quantum phases and dualities, including the nonunitarity in duality transformations, and derivation of general noninvertible fusion rules. Furthermore, we obtain strong constraints on anomaly conditions of qudit models with a general class of duality symmetries. This establishes a microscopic anomaly classification for a broad class of lattice dualities.

Source: Physical Review Letters

DOI: 10.1103/g1l7-bvtf

Authors: Linhao Li, Masaki Oshikawa, Han Yan

Institutions: Pennsylvania State University, Ghent University, The Ohio State University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green