Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation

Details Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation

2010-05-25

arxiv.org/abs/1005.4603v3

SIGMA 6: 080,2010

Nonlinear Sciences

Exactly Solvable and Integrable Systems

v2: included explicit forms of the Lax operator and various forms of anyonic realizations; v3: published version

Scientific paper

10.3842/SIGMA.2010.080

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\"odinger 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 $\delta$ and derivative $\delta$-function potentials.

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