An algebraic second-quantization for 1D Abelian anyons with phase θ=π/N is constructed, together with an exact Jordan-Wigner duality that maps π/3 anyons onto spin-1 operators.
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Above a critical parametric drive, a cross-Kerr-coupled resonator chain enters a nonlinearity-dictated topological phase with spontaneous symmetry breaking and non-trivial bulk-boundary correspondence.
GMP density-mode dispersion on the Haldane sphere accurately describes primary Jain states at long wavelength after deriving the sphere version of the LLL density-operator algebra.
Interactions between hard-core anyons on a 1D lattice at infinite temperature induce pronounced left-right asymmetry in single-particle Green's functions for fractional statistics, strongest at intermediate coupling, while density-density correlations recover XXZ transport behaviors independent of θ
A combinatorial extension of Schrieffer counting extracts anyon fusion rules from restricted orbital-occupation patterns in quantum Hall wave functions.
Numerical tests confirm that modular Hamiltonian methods extract expected topological numbers from FQHE wavefunctions but converge reliably only on large lattices.
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Unveiling Topological Fusion in Quantum Hall Systems from Microscopic Principles
A combinatorial extension of Schrieffer counting extracts anyon fusion rules from restricted orbital-occupation patterns in quantum Hall wave functions.