4 papers
Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains
Kristian Tyn Kai Chung, Umberto Borla, Andriy H. Nevidomskyy +1
Recent developments have revealed that symmetries need not form a group, but instead can be non-invertible. Here we use analytical arguments and numerical evidence to illuminate ho…
Generalized Wigner theorem for non-invertible symmetries
Gerardo Ortiz, Chinmay Giridhar, Philipp Vojta +2
We establish the conditions under which a conservation law associated with a non-invertible operator may be realized as a symmetry in quantum physics. As established by Wigner, all…
Algebraic Fusion in a (2+1)-dimensional Lattice Model with Generalized Symmetries
Chinmay Giridhar, Philipp Vojta, Zohar Nussinov +2
The notion of quantum symmetry has recently been extended to include reduced-dimensional transformations and algebraic structures beyond groups. Such generalized symmetries lead to…
Web of Non-invertible Dualities for (2+1) Dimensional Models with Subsystem Symmetries
Avijit Maity, Vikram Tripathi, Andriy H. Nevidomskyy
We extend non-invertible duality concepts from one-dimensional systems to two spatial dimensions by constructing a web of non-invertible dualities for lattice models with subsystem…