Scaling properties of the Tans contact: embedding pairs and correlation effect in the Tonks limit


Abstract in English

We study the Tans 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 Tans contact are embedded in the Tans contact in the Tonks-Girardeau limit.

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