Volume 143, Number 4, August 2023
|Number of page(s)
|Condensed matter and materials physics
|29 August 2023
Stationary transport above the critical velocity in a one-dimensional superflow past an obstacle
1 Université Côte d'Azur, CNRS, Institut de Physique de Nice - 06200 Nice, France
2 Institut Universitaire de France (IUF)
(a) E-mail: firstname.lastname@example.org (corresponding author)
Received: 13 June 2023
Accepted: 17 August 2023
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.
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