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 TD. We also find that for temperatures larger than TD 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.
http://hdl.handle.net/20.500.11767/13292
Titolo: | Local Correlations in the Super Tonks-Girardeau Gas |
Autori: | Kormos M; Mussardo G; Trombettoni A |
Rivista: | |
Data di pubblicazione: | 2011 |
Volume: | 83 |
Pagina iniziale: | 013617 |
Pagina finale: | 013627 |
Digital Object Identifier (DOI): | 10.1103/PhysRevA.83.013617 |
URL: | http://link.aps.org/doi/10.1103/PhysRevA.83.013617 |
Appare nelle tipologie: | 1.1 Journal article |
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