Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases

TL;DR

This paper investigates the super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases, analyzing collective modes, exact wave function mappings, and the effects of potential range at zero temperature.

Contribution

It introduces an exact mapping of ground-state wave functions across bosonic, fermionic, and mixed dipolar systems, and discusses signatures of the super-Tonks-Girardeau regime.

Findings

Estimated frequency of the lowest compressional mode.

Confirmed local properties and energy are identical across different particle types at zero temperature.

Discussed the impact of dipolar potential range on system behavior.

Abstract

Possible signatures of a super-Tonks-Girardeau gas in bosonic systems of trapped quasi-one-dimensional dipoles are discussed at zero temperature. We provide estimation of the frequency of the lowest compressional mode and compare it to analytical results derived using harmonic approach in the high density regime. We construct an exact mapping of the ground-state wave function of one-dimensional dipolar system of bosons, fermions and Bose-Fermi mixture and conclude that local properties and energy are the same at zero temperature. A question of to which extent the dipolar potential can be treated long- or short- range is discussed.