Local Correlations in the Super Tonks-Girardeau Gas

Understand

We study the local correlations in the super Tonks-Girardeau gas, a highly excited, strongly correlated state obtained in quasi one-dimensional Bose gases by tuning the scattering length to large negative values using a confinement-induced resonance.

• Exploiting a connection with a relativistic field theory, we obtain results for the two-body and three-body local correlators at zero and finite temperature.
• At zero temperature our result for the three-body correlator agrees with the extension of the results of Cheianov et al.
• [Phys.