Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature

Abstract : The universal Tan relations connect a variety of microscopic features of many-body quantum systems with two-body contact interactions to a single quantity, called the contact. The latter has become pivotal in the description of quantum gases. We provide a complete characterization of the Tan contact of the harmonically trapped Lieb-Liniger gas for arbitrary interactions and temperature. Combining thermal Bethe ansatz, local density approximation, and exact quantum Monte Carlo calculations, we show that the contact is a universal function of only two scaling parameters, and determine the scaling function. We find that the temperature-dependence of the contact, or equivalently the interaction-dependence of the entropy, displays a maximum. The presence of this maximum provides an unequivocal signature of the crossover to the fermionized regime and it is accessible in current experiments.
Type de document :
Pré-publication, Document de travail
2018
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https://hal-polytechnique.archives-ouvertes.fr/hal-01763698
Contributeur : Hepeng Yao <>
Soumis le : mercredi 11 avril 2018 - 12:54:35
Dernière modification le : mercredi 10 octobre 2018 - 10:09:18

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paper20180411.pdf
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  • HAL Id : hal-01763698, version 1
  • ARXIV : 1804.04902

Citation

Hepeng Yao, David Clément, Anna Minguzzi, Patrizia Vignolo, Laurent Sanchez-Palencia. Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature. 2018. 〈hal-01763698〉

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