Local Correlations in the Super Tonks-Girardeau Gas
arXiv:1008.4383 · doi:10.1103/PhysRevA.83.013617
Abstract
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. Rev. A 73, 051604(R) (2006)], obtained for the ground-state of the repulsive Lieb-Liniger gas, to the super Tonks-Girardeau state. At finite temperature we obtain that the three-body correlator has a weak dependence on the temperature up to the degeneracy temperature. We also find that for temperatures larger than the degeneracy temperature the values of the three-body correlator for the super Tonks-Girardeau gas and the corresponding repulsive Lieb-Liniger gas are rather similar even for relatively small couplings.
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- From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation
- Non Relativistic Limit of Integrable QFT and Lieb-Liniger Models
- Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
- Exact finite volume expectation values of local operators in excited states
- Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
- Integrability, Non-integrability and confinement
- Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model