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

摘要

Possible signatures of a super-Tonks-Girardeau gas in bosonic systems oftrapped quasi-one-dimensional dipoles are discussed at zero temperature. Weprovide estimation of the frequency of the lowest compressional mode andcompare it to analytical results derived using harmonic approach in the highdensity regime. We construct an exact mapping of the ground-state wave functionof one-dimensional dipolar system of bosons, fermions and Bose-Fermi mixtureand 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- orshort- range is discussed.