Stokes drift and impurity transport in a quantum fluid

Giuriato, Umberto, Krstulovic, Giorgio, Onorato, Miguel and Proment, Davide ORCID: (2023) Stokes drift and impurity transport in a quantum fluid. Physical Review A, 107 (6). ISSN 1050-2947

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Stokes drift is a classical fluid effect in which traveling waves transfer momentum to tracers of the fluid, resulting in a nonzero drift velocity in the direction of the incoming wave; this effect is the driving mechanism allowing particles, i.e., impurities, to be transported by the flow. In a classical (viscous) fluid this happens usually due to the presence of viscous drag forces; because of the eventual absence of viscosity in quantum fluids, impurities are driven by inertial effects and pressure gradients only. We present theoretical predictions of a Stokes drift analogous in quantum fluids finding that, at the leading order, the drift direction and amplitude depend on the initial impurity position with respect to the wave phase, and at the second order, our theoretical model recovers the classical Stokes drift but with a coefficient that depends on the relative particle-fluid density ratio. Our theoretical predictions are obtained for classical impurities using multitime analytical asymptotic expansions. Numerical simulations of a two-dimensional Gross-Pitaevskii equation coupled with a classical impurity corroborate our findings. Our findings are experimentally testable, for instance, using fluids of light obtained in photorefractive crystals.

Item Type: Article
Additional Information: Funding Information: G.K. and M.O. acknowledge the support of the Simons Foundation Collaboration grant Wave Turbulence (Award ID 651471). G.K. was funded by the Agence Nationale de la Recherche through the project GIANTE ANR-18-CE30-0020-01. D.P. was supported by EPSRC First Grant No. EP/P023770/1. Computations were carried out at the Mésocentre SIGAMM hosted at the Observatoire de la Côte d'Azur. D.P. acknowledges the support of the Université Côte d'Azur for funding his visit to the Laboratoire Lagrange via the Campagne Professeurs Invités (IFA) 2021-2022. D.P. would like to thank the Isaac Newton Institute for Mathematical Sciences for support and hospitality during the program Dispersive hydrodynamics: Mathematics, simulation and experiments when the final part of this work was undertaken, supported by EPSRC Grant No. EP/R014604/1.
Uncontrolled Keywords: physics.flu-dyn,cond-mat.other,cond-mat.quant-gas,atomic and molecular physics, and optics ,/dk/atira/pure/subjectarea/asjc/3100/3107
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Centre for Photonics and Quantum Science
Faculty of Science > Research Groups > Quantum Fluids
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Depositing User: LivePure Connector
Date Deposited: 14 Jun 2023 14:16
Last Modified: 17 Jul 2023 13:30
DOI: 10.1103/PhysRevA.107.L061303

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