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 on bosonic Laughlin and Moore-Read states show that modular Hamiltonian methods recover expected topological quantities only when system sizes are large enough relative to the correlation length.
citing papers explorer
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Second quantization of anyons and spin-anyon duality
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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Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
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.
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Static structure factor and the dispersion of the Girvin-MacDonald-Platzman density mode for fractional quantum Hall fluids on the Haldane sphere
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.
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Interaction-induced asymmetry in infinite-temperature dynamical correlations of hard-core anyons
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
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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.
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Testing the robustness of topological quantities evaluated from the modular Hamiltonian for a given wavefunction
Numerical tests on bosonic Laughlin and Moore-Read states show that modular Hamiltonian methods recover expected topological quantities only when system sizes are large enough relative to the correlation length.