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High-momentum oscillating tails of strongly interacting one-dimensional gases in a box

Gianni Aupetit-Diallo, Silvia Musolino, Mathias Albert, and Patrizia Vignolo

  • Université Côte d'Azur, CNRS, Institut de Physique de Nice, 06200 Nice, France

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Phys. Rev. A 107, L061301 – Published 2 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.L061301

Abstract

We study the equilibrium momentum distribution of strongly interacting one-dimensional mixtures of particles at zero temperature in a box potential. We find that the magnitude of the 1/k4 tail of the momentum distribution is not only due to short-distance correlations, but also to the presence of the rigid walls, breaking the Tan relation relating this quantity to the adiabatic derivative of the energy with respect to the inverse of the interaction strength. The additional contribution is a finite-size effect that includes a k-independent and an oscillating part. This latter, surprisingly, encodes information on long-range spin correlations.

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Phys. Rev. A 107, L061301– Published 2 June, 2023
  • Received 6 February 2023
  • Accepted 19 May 2023
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