For strongly interacting trapped 1D bosons, the canonical Tan's contact at any temperature is conjectured to factor into a two-boson scaling function and a particle-number dependent Tonks-Girardeau contact.
Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
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abstract
We present a thorough study of the thermodynamics of a one-dimensional repulsive Bose gas, focusing in particular on corrections beyond the Luttinger-liquid description. We compute the chemical potential, the pressure and the contact, as a function of temperature and gas parameter with exact thermal Bethe-Ansatz. In addition, we provide interpretations of the main features in the analytically tractable regimes, based on a variety of approaches (Bogoliubov, hard-core, Sommerfeld and virial). The beyond Luttinger-liquid thermodynamic effects are found to be non-monotonic as a function of gas parameter. Such behavior is explained in terms of non-linear dispersion and ``negative excluded volume'' effects, for weak and strong repulsion respectively, responsible for the opposite sign corrections in the thermal next-to-leading term of the thermodynamic quantities at low temperatures. Our predictions can be applied to other systems including super Tonks-Girardeau gases, dipolar and Rydberg atoms, helium, quantum liquid droplets in bosonic mixtures and impurities in a quantum bath.
fields
cond-mat.quant-gas 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit
For strongly interacting trapped 1D bosons, the canonical Tan's contact at any temperature is conjectured to factor into a two-boson scaling function and a particle-number dependent Tonks-Girardeau contact.