Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
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.
- Publication:
-
SIGMA
- Pub Date:
- October 2010
- DOI:
- arXiv:
- arXiv:1005.4603
- Bibcode:
- 2010SIGMA...6..080K
- Keywords:
-
- nonultralocal model;
- braided YBE;
- quantum integrability;
- 1D anyonic and q-anyonic lattice models;
- anyonic NLS and derivative NLS field models;
- algebraic Bethe ansatz;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- v2: included explicit forms of the Lax operator and various forms of anyonic realizations