Universal scaling of density and momentum distributions in Lieb-Liniger gases

Wei Xu, Marcos Rigol

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Abstract

We present an exact numerical study of the scaling of density and momentum distribution functions of harmonically trapped one-dimensional bosons with repulsive contact interactions at zero and finite temperatures. We use path integral quantum Monte Carlo with worm updates in our calculations at finite interaction strengths, and the Bose-Fermi mapping in the Tonks-Girardeau regime. We discuss the homogeneous case and, within the local density approximation, use it to motivate the scaling in the presence of a harmonic trap. For the momentum distribution function, we pay special attention to the high momentum tails and their k-4 asymptotic behavior.

Original languageEnglish (US)
Article number063623
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume92
Issue number6
DOIs
StatePublished - Dec 15 2015

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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