5 papers
Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints
Shang-Qiang Ning, Hiromi Ebisu, Ho Tat Lam
Modulated symmetries are internal symmetries that act in a spatially non-uniform manner. Consequently, when a modulated symmetry is combined with a spatial symmetr…
Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems
Tsubasa Oishi, Hiromi Ebisu
't Hooft anomalies impose fundamental constraints on quantum matter and often lead to emergent symmetry structures upon gauging. We analyze a lattice model with four global symmetr…
Modulated symmetries from generalized Lieb-Schultz-Mattis anomalies
Hiromi Ebisu, Bo Han, Weiguang Cao
Symmetries rigidly delimit the landscape of quantum matter. Recently uncovered spatially modulated symmetries, whose actions vary with position, enable excitations with restricted…
Matrix product state classification of 1D multipole symmetry protected topological phases
Takuma Saito, Weiguang Cao, Bo Han +1
Spatially modulated symmetries are one of the new types of symmetries whose symmetry actions are position dependent. Yet exotic phases resulting from these spatially modulated symm…
Noninvertible operators in one, two, and three dimensions via gauging spatially modulated symmetry
Hiromi Ebisu, Bo Han
Spatially modulated symmetries have emerged since the discovery of fractons, which characterize unconventional topological phases with mobility-constrained quasiparticle excitation…