The Ising fusion category lattice model features a symmetric critical phase equivalent to the Ising model, a categorical ferromagnetic phase with threefold degeneracy, and a critical categorical antiferromagnetic phase with fourfold degeneracy described by an Ising CFT.
Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev
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A general construction using CFT null vectors and BPZ equations yields continuum Hamiltonians for which Moore-Read and k=3 Read-Rezayi Jack-polynomial states are exact zero modes.
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.
QFAMES is a quantum algorithm that identifies clusters of closely spaced dominant eigenvalues and their multiplicities in quantum Hamiltonians under physically motivated assumptions, enabling observable estimation within energy clusters.
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.
Entanglement structure provides a natural distributed representation for quantum wavefunctions that reduces Hamiltonian applications to local contractions and enables near-linear scaling in simulations.
Additional spin-orbital degrees of freedom produce strong thermal and quantum fluctuations that stabilize disordered nematic phases in the extended Kitaev-Yao-Lee model.
Ground states of a tuned spin-1 XXZ chain in the Haldane phase enable high-fidelity single-qubit gates via measurement-based quantum computation.
citing papers explorer
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Fine-grained topological structures hidden in Fermi sea
Fermi seas with the same Euler characteristic χ_F possess distinct fine-grained topological structures captured by a new structural resolution factor, which topological superconductors inherit to produce anomalous gapless boundary states.
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Fractons on the edge
Derives two types of gapless edge modes (fractonic and non-fractonic) plus a current algebra for a 2D fractonic system with constrained multipole mobility, analogous to fractional quantum Hall phases.