Stationary transport above the critical velocity in a one-dimensional superflow past an obstacle
arXiv:2306.05048 · doi:10.1209/0295-5075/acf15a
Abstract
We consider in this work the different possible stationary flows of a one dimensional quantum fluid in the mean-field regime. We focus on the supersonic regime where a transition from a time dependent flow to a stationary diffractive flow occurs at a given critical velocity. We give nonperturbative results for this critical velocity in the presence of a localised obstacle of arbitrary size and strength. In addition, we discuss the existence of superfluid-like solution in the supersonic regime due to resonant transport and provide a complete map of the different regimes of stationary transport of a quantum fluid.
7 pages and 5 pages of supplementary material
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