Unveiling quantum phases in quasi-one-dimensional dipolar gases using continuous matrix product state

TL;DR

This paper uses continuous matrix product states to analyze ground-state phases of quasi-one-dimensional dipolar gases, revealing superfluid, super-Tonks-Girardeau, and quasicrystal phases and mapping their phase diagram.

Contribution

It introduces a novel application of continuous matrix product states to study phase diagrams and properties of dipolar gases in one dimension.

Findings

Identification of superfluid, super-Tonks-Girardeau, and quasicrystal phases.

Mapping of the phase diagram based on interaction parameters.

Calculation of Luttinger parameter, structure factor, and momentum distribution.

Abstract

We investigate the ground-state properties of the quasi-one-dimensional dipolar gases using continuous matrix product states techniques. Making use of the first- and second-order correlation functions, we find that the system supports the superfluid, super-Tonks-Girardeau, and quasicrystal phases according to the Luttinger liquid theory. We also map out the phase diagram on the parameter plane consisting the contact and dipolar interaction strengths. Furthermore, we compute the Luttinger parameter, the structure factor, and the momentum distribution of the system. Finally, we show that the predicted dipolar effect can potentially be observed in quasi-one-dimensional gases of polar molecules.