The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev
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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.
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.
Long-range correlated disorder creates a non-self-averaging topological Anderson insulator phase with non-vanishing Lyapunov exponent variance and non-Gaussian distributions that violate the central limit theorem.
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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From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations
The RDM of 2D topological order at an entanglement cut realizes a 1D Z2 SW-SSB mixed-state phase whose correlations and disorder parameters encode anyon deconfinement and spinon fractionalization.
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Symmetry breaking phases and transitions in an Ising fusion category lattice model
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.
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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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Non-self-averaging topological Anderson insulator
Long-range correlated disorder creates a non-self-averaging topological Anderson insulator phase with non-vanishing Lyapunov exponent variance and non-Gaussian distributions that violate the central limit theorem.
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Frustrated magnetic order in hybrid Kitaev spin-orbital models
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.
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Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra
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.
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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.
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Entanglement-informed distributed wavefunction approach to scalable quantum many-body systems
Entanglement structure provides a natural distributed representation for quantum wavefunctions that reduces Hamiltonian applications to local contractions and enables near-linear scaling in simulations.
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Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
Additional spin-orbital degrees of freedom produce strong thermal and quantum fluctuations that stabilize disordered nematic phases in the extended Kitaev-Yao-Lee model.
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Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy
Ground states of a tuned spin-1 XXZ chain in the Haldane phase enable high-fidelity single-qubit gates via measurement-based quantum computation.
- Parent Hamiltonian construction of generalized Calogero-Sutherland models