Scaling properties of Tan's contact: Embedding pairs and correlation effect in the Tonks-Girardeau limit - Archive ouverte HAL
Article Dans Une Revue Physical Review A Année : 2019

Scaling properties of Tan's contact: Embedding pairs and correlation effect in the Tonks-Girardeau limit

Frédéric Hébert
V. Rousseau
Mathias Albert
P. Vignolo

Résumé

We study Tan's contact of a one-dimensional quantum gas of N repulsive identical bosons confined in a harmonic trap at finite temperature. This canonical ensemble framework corresponds to the experimental conditions, with the number of particles being fixed for each experimental sequence. We show that in the strongly interacting regime, the contact rescaled by the contact at the Tonks-Girardeau limit is a universal function of two parameters: the rescaled interaction strength and temperature. This means that all pair and correlation effects in Tan's contact are embedded in Tan's contact in the Tonks-Girardeau limit
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Dates et versions

hal-03537691 , version 1 (03-06-2024)

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Citer

F. Sant'Ana, Frédéric Hébert, V. Rousseau, Mathias Albert, P. Vignolo. Scaling properties of Tan's contact: Embedding pairs and correlation effect in the Tonks-Girardeau limit. Physical Review A, 2019, 100 (6), pp.063608. ⟨10.1103/PhysRevA.100.063608⟩. ⟨hal-03537691⟩
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