One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials

Abstract

We propose an exactly solvable model of one-dimensional anyons with competing $\delta$-function and derivative $\delta$-function interaction potentials. The Bethe ansatz equations are derived in terms of the $N$-particle sector for the quantum anyonic field model of the generalized derivative nonlinear Schrödinger equation. This more general anyon model exhibits richer physics than that of the recently studied one-dimensional model of $\delta$-function interacting anyons. We show that the anyonic signature is inextricably related to the velocities of the colliding particles and the pairwise dynamical interaction between particles.

9 pages, 2 figures, minor changes, references updated

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• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
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• Correlation functions of one-dimensional anyonic fluids
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Cited by in corpus (1)

• Quantum Inverse Scattering Method with anyonic grading