Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 6 (2010), 080, 9 pages      arXiv:1005.4603      http://dx.doi.org/10.3842/SIGMA.2010.080
Contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”

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

Anjan Kundu
Theory Group & CAMCS, Saha Institute of Nuclear Physics, Calcutta, India

Received May 25, 2010, in final form October 03, 2010; Published online October 09, 2010

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 Schrödinger 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.

Key words: nonultralocal model; braided YBE; quantum integrability; 1D anyonic and q-anyonic lattice models; anyonic NLS and derivative NLS field models; algebraic Bethe ansatz.

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