Memory Effects in the Coarse-Grained Gross-Pitaevskii equation

POSTER

Abstract

We investigate the hypothesis that coarse-grained dynamics in the Gross-Pitaevskii equation can be captured by classical hydrodynamic theories. In particular, we explore discrepancies that arise from the time-locality of the classical theory: i.e., due to potential memory effects from extended topological defects in the GPE. Where possible, nonparametric statistical analyses will be used to quantify such memory effects and the limits they impose on possible hydrodynamic descriptions.

*This material is based upon work supported by the National Science Foundation under Award No. 2309322. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Presenters

  • Elliot J Carmody

    • Washington State University

Authors

  • Elliot J Carmody

    • Washington State University

  • Michael McNeil Forbes

    • Washington State University

  • Edward Eskew

    • Washington State University

  • James Turker Aygun

    • Illinois State University

  • Kevin R Vixie

    • Washington State University