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

Abstract

We study the 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, 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 an universal function of two parameters, the rescaled interaction strength and temperature. This means that all pair and correlation effects in the Tan's contact are embedded in the Tan's contact in the Tonks-Girardeau limit.

arXiv comment8 pages, 8 figures

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Cited by in corpus (9)

• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• The relevant excitations for the one-body function in the Lieb-Liniger model
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• Two-spinon effects on the thermal Tonks-Girardeau gas