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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Numerical simulations reveal that anyonic statistics phase and synthetic gauge flux induce asymmetric transport, dynamical symmetries, and tunable chiral or antichiral expansion dynamics in interacting two-component anyon-Hubbard models.
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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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Asymmetric and chiral dynamics of two-component anyons with synthetic gauge flux
Numerical simulations reveal that anyonic statistics phase and synthetic gauge flux induce asymmetric transport, dynamical symmetries, and tunable chiral or antichiral expansion dynamics in interacting two-component anyon-Hubbard models.