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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter EquationKeywords: nonultralocal model , braided YBE , quantum integrability , 1D anyonic and q-anyonic lattice models , anyonic NLS and derivative NLS field models , algebraic Bethe ansatz Abstract: Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schr dinger equation (NLS) and the derivative NLS quantum field models involving anyonic operators, N-particle sectors of which yield the well known anyon gases, interacting through δ and derivative δ-function potentials.
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