Exact solution of double-delta function Bose gas through interacting anyon gas

TL;DR

This paper presents an exact Bethe ansatz solution for a 1D Bose gas with complex interactions, revealing its equivalence to an anyon gas and clarifying issues in generalized exclusion statistics.

Contribution

It introduces a novel exact solution for a complex interacting Bose gas by mapping it to an anyon gas, resolving recent theoretical controversies.

Findings

Equivalence between 1D Bose gas with delta interactions and delta anyon gas

Exact Bethe ansatz solution derived for the model

In the noninteracting limit, describes an ideal gas with generalized exclusion statistics

Abstract

1d Bose gas interacting through delta, delta' and double-delta function potentials is shown to be equivalent to a delta anyon gas allowing exact Bethe ansatz solution. In the noninteracting limit it describes an ideal gas with generalized exclusion statistics and solves some recent controversies.