Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases

TL;DR

This paper demonstrates Luttinger liquid behavior in one-dimensional dipolar Bose gases, revealing a transition from Tonks-Girardeau to classical states, with numerical and analytical insights relevant for ultracold gas experiments.

Contribution

It combines Reptation Quantum Monte Carlo and bosonization to analyze the ground state, revealing the density-dependent Luttinger-liquid behavior in dipolar gases.

Findings

Luttinger-liquid behavior observed across a range of densities

Analytical predictions for structure factor and momentum distribution

Transition from Tonks-Girardeau to classical quasi-ordered states

Abstract

The ground state and structure of a one-dimensional Bose gas with dipolar repulsions is investigated at zero temperature by a combined Reptation Quantum Monte Carlo (RQMC) and bosonization approach. A non trivial Luttinger-liquid behavior emerges in a wide range of intermediate densities, evolving into a Tonks-Girardeau gas at low density and into a classical quasi-ordered state at high density. The density dependence of the Luttinger exponent is extracted from the numerical data, providing analytical predictions for observable quantities, such as the structure factor and the momentum distribution. We discuss the accessibility of such predictions in current experiments with ultracold atomic and molecular gases.