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

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Cited by in corpus (1)

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