Publications by authors named "Robijn Vanhove"
We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the Haagerup fusion category H_{3} as input data. We present compelling numerical evidence in the form of finite entanglement scaling to support a Haagerup conformal field theory (CFT) with central charge c=2. Generalized twisted CFT spectra are numerically obtained through exact diagonalization of the transfer matrix, and the conformal towers are separated in the spectra through their identification with the topological sectors.
View Article and Find Full Text PDFWe provide a generalization of the matrix product operator formalism for string-net projected entangled pair states (PEPS) to include nonunitary solutions of the pentagon equation. These states provide the explicit lattice realization of the Galois conjugated counterparts of (2+1)-dimensional topological quantum field theories, based on tensor fusion categories. Although the parent Hamiltonians of these renormalization group fixed point states are gapless, these states can still be the topological ground states of a gapped non-Hermitian Hamiltonian.
View Article and Find Full Text PDFWe extend the concept of strange correlators, defined for symmetry-protected phases in You et al. [Phys. Rev.
View Article and Find Full Text PDFArticle Synopsis
- The article explores edge anomalies in two-dimensional bosonic phases that have on-site symmetry, highlighting the global symmetry anomalies associated with these edge theories.
- It connects the physical implications of these anomalies, such as challenges in forming symmetry-preserving boundaries and orbifolding, to the mathematical classification of symmetry-protected phases via cohomology.
- The authors use tensor network and matrix product state methods to provide numerical examples and propose techniques for detecting symmetry-protected order in ground state wave functions.