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

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

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Cited by in corpus (3)

• Correlation functions of one-dimensional strongly interacting two-component gases
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Dualities for anyons