Microscopic study of static and dynamical properties of dilute one-dimensional soft bosons

TL;DR

This paper investigates the static and dynamical properties of dilute one-dimensional soft bosons at zero temperature using advanced quantum Monte Carlo methods, revealing how increasing interactions connect to well-known models like Lieb-Liniger and Tonks-Girardeau.

Contribution

It provides a comprehensive microscopic analysis of dilute 1D soft bosons, bridging different interaction regimes with state-of-the-art computational techniques.

Findings

Reproduces Lieb-Liniger, Tonks-Girardeau, and Hard-Rods models with increasing interaction strength.

Analyzes static properties and dynamical structure factor at zero temperature.

Employs quantum Monte Carlo and analytic continuation methods.

Abstract

We study static properties and the dynamical structure factor of zero-temperature dilute bosons interacting via a soft-shoulder potential in one dimension. Our approach is fully microscopic and employs state-of-the-art quantum Monte Carlo and analytic continuation techniques. By increasing the interaction strength, our model reproduces the Lieb-Liniger gas, the Tonks-Girardeau and the Hard-Rods models.