q-Boson in Quantum Integrable Systems

Abstract

q-bosonic realization of the underlying Yang-Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode q-bosonic model leading to a coupled two-component derivative NLS model, wide range of q-deformed matter-radiation models, q-anyon model etc. Result on a new exactly solvable interacting anyon gas, linked to q-anyons on the lattice is reported.

Keywords

• quantum integrable systems
• Yang-Baxter algebra
• quantum group
• q-bosonic integrable models
• q-deformed matter-radiation models
• q-anyon
• derivative-δ-function anyon gas