Local correlations in the super-Tonks-Girardeau gas

M. Kormos, G. Mussardo, and A. Trombettoni
Phys. Rev. A 83, 013617 – Published 24 January 2011

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 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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 25 August 2010

DOI:https://doi.org/10.1103/PhysRevA.83.013617

© 2011 American Physical Society

Authors & Affiliations

M. Kormos1, G. Mussardo1,2, and A. Trombettoni1

  • 1SISSA and INFN, Sezione di Trieste, via Bonomea 265, I-34136 Trieste, Italy
  • 2International Centre for Theoretical Physics (ICTP), Strada Costiera 11, I-34151, Trieste, Italy

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 1 — January 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×