5 papers
Parameterized Families of Toric Code Phase: -duality family and higher-order anyon pumping
Shuhei Ohyama, Takamasa Ando, Ryan Thorngren
Within the toric-code phase, we study parameterized families of topologically ordered states. We construct - and -parameter families of local Hamiltonians and confirm their n…
1+1d SPT phases with fusion category symmetry: interface modes and non-abelian Thouless pump
Kansei Inamura, Shuhei Ohyama
We consider symmetry protected topological (SPT) phases with finite non-invertible symmetry in 1+1d. In particular, we investigate interfaces and parameterized famili…
Generalized cluster states in 2+1d: non-invertible symmetries, interfaces, and parameterized families
Kansei Inamura, Shuhei Ohyama
We construct 2+1-dimensional lattice models of symmetry-protected topological (SPT) phases with non-invertible symmetries and investigate their properties using tensor networks. Th…
Parameterized families of 2+1d -cluster states
Shuhei Ohyama, Kansei Inamura
We construct a -cluster Hamiltonian in 2+1 dimensions and analyze its properties. This model exhibits a symmetry, where the sector r…
Multi wavefunction overlap and multi entropy for topological ground states in (2+1) dimensions
Bowei Liu, Junjia Zhang, Shuhei Ohyama +2
Multi-wavefunction overlaps -- generalizations of the quantum mechanical inner product for more than two quantum many-body states -- are valuable tools for studying many-body physi…