Numerical evidence that post-quench density profiles in the Lieb-Liniger gas acquire a scaling form in velocity that reflects the Bethe rapidity structure.
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Backscattering hard rods show a crossover in two-time density-density correlations from ballistic spreading at t much less than 1/gamma to diffusive spreading at t much greater than 1/gamma.
citing papers explorer
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Dynamical Fermionization and Emergent Bethe Rapidity Structure in the Spatial Density of Cold quenched Lieb-Liniger gas
Numerical evidence that post-quench density profiles in the Lieb-Liniger gas acquire a scaling form in velocity that reflects the Bethe rapidity structure.
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Dean-Kawasaki fluctuating hydrodynamics for backscattering hard rods
Backscattering hard rods show a crossover in two-time density-density correlations from ballistic spreading at t much less than 1/gamma to diffusive spreading at t much greater than 1/gamma.