Dynamics of excitations in a one-dimensional Bose liquid

TL;DR

This paper investigates the collective excitations in a one-dimensional Bose liquid, revealing a power-law singularity in the dynamic structure factor and calculating its exponent across different conditions.

Contribution

It provides a detailed analysis of the dynamic structure factor in a 1D Bose liquid using the Lieb-Liniger model, including the calculation of the singularity exponent.

Findings

Identification of a power-law singularity in the dynamic structure factor.

Explicit calculation of the singularity exponent as a function of wave vector and interaction strength.

Enhanced understanding of collective excitations in 1D Bose liquids.

Abstract

We show that the dynamic structure factor of a one-dimensional Bose liquid has a power-law singularity defining the main mode of collective excitations. Using the Lieb-Liniger model, we evaluate the corresponding exponent as a function of the wave vector and the interaction strength.