Local correlations in the super-Tonks-Girardeau gas

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.013617· OSTI ID:21537028

Kormos, M; Trombettoni, A ^[1]; Mussardo, G ^[1]

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1. SISSA and INFN, Sezione di Trieste, via Bonomea 265, I-34136 Trieste (Italy)

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 T{sub D}. We also find that, for temperatures larger than T{sub D}, 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.

• OSTI ID: 21537028
• Journal Information: Physical Review. A, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevA.83.013617; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN GAS
CONFINEMENT
CORRELATIONS
FIELD THEORIES
ONE-DIMENSIONAL CALCULATIONS
RELATIVISTIC RANGE
RESONANCE
SCATTERING LENGTHS
THREE-BODY PROBLEM
TWO-BODY PROBLEM
DIMENSIONS
ENERGY RANGE
LENGTH
MANY-BODY PROBLEM