Phase model expectation values and the 2-Toda hierarchy

TL;DR

This paper demonstrates that the scalar product in the phase model corresponds to a 2-Toda tau-function and explores the link between boundary correlation functions and hierarchy wave-functions.

Contribution

It establishes a novel connection between the phase model's scalar product and the 2-Toda hierarchy, revealing new integrable structure insights.

Findings

Scalar product of the phase model is a 2-Toda tau-function

Boundary correlation functions relate to hierarchy wave-functions

Highlights integrable structure in the phase model

Abstract

We show that the scalar product of the phase model is a (restricted) 2-Toda tau-function. Additionally, we highlight a correspondence between the boundary correlation functions of the model and the wave-functions of the hierarchy.