Form factors of local operators in a one-dimensional two-component Bose gas

TL;DR

This paper derives determinant formulas for local operator form factors in a one-dimensional two-component Bose gas using algebraic Bethe ansatz, connecting it to a generalized GL(3) model.

Contribution

It introduces a method to compute form factors of local operators in a two-component Bose gas via algebraic Bethe ansatz and determinant representations.

Findings

Determinant formulas for form factors derived

Reduction to monodromy matrix entries in GL(3) model

Applicable to local operators in 1D two-component Bose gas

Abstract

We consider a one-dimensional model of a two-component Bose gas and study form factors of local operators in this model. For this aim we use an approach based on the algebraic Bethe ansatz. We show that the form factors under consideration can be reduced to those of the monodromy matrix entries in a generalized GL(3)-invariant model. In this way we derive determinant representations for the form factors of local operators.