Quantum Inverse Scattering Method with anyonic grading

Abstract

We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard-core anyons. Through this method we reconstruct the known integrable model of hard core anyons associated with the XXX model, and as a new application we construct the anyonic $t-J$ model. The energy spectrum for each model is derived by means of a generalisation of the algebraic Bethe ansatz. The grading parameters implementing the anyonic signature give rise to sector-dependent phase factors in the Bethe ansatz equations.

14 pages, revised version, some clarifications in text, references added and upated

References in corpus (5)

• Correlation functions of one-dimensional anyonic fluids
• Ground-state properties of one-dimensional anyon gases
• Bethe Ansatz for 1D interacting anyons
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Theoretical construction of 1D anyon models

Cited by in corpus (1)

• Ground-state properties of hard-core anyons in one-dimensional optical lattices