Efficient numerical description of the dynamics of interacting multispecies quantum gases

authored by: Annie Pichery, Matthias Meister, Baptist Piest, Jonas Böhm, Ernst Maria Rasel, Eric Charron, Naceur Gaaloul
Abstract: We present a highly efficient method for the numerical solution of coupled Gross-Pitaevskii equations describing the evolution dynamics of a multi-species mixture of Bose-Einstein condensates in time-dependent potentials. This method, based on a moving and expanding reference frame, compares favorably to a more standard but much more computationally expensive solution based on a frozen frame. It allows an accurate description of the long-time behavior of interacting, multi-species quantum mixtures including the challenging problem of long free expansions relevant to microgravity and space experiments. We demonstrate a successful comparison to experimental measurements of a binary Rb-K mixture recently performed with the payload of a sounding rocket experiment.
Organisation(s): Institute of Quantum Optics
QuantumFrontiers
External Organisation(s): Universite Paris-Sud
German Aerospace Center (DLR)
Type: Article
Journal: AVS Quantum Science
Volume: 5
No. of pages: 16
Publication date: 12.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Computer Networks and Communications, Physical and Theoretical Chemistry, Computational Theory and Mathematics, Electrical and Electronic Engineering
Electronic version(s): https://doi.org/10.48550/arXiv.2305.13433 (Access: Open)
https://doi.org/10.1116/5.0163850 (Access: Open)

BibTeX

@article{c9f4f66a0cdb4f5eaf252cb1d74d09b0,
title = "Efficient numerical description of the dynamics of interacting multispecies quantum gases",
abstract = "We present a highly efficient method for the numerical solution of coupled Gross-Pitaevskii equations describing the evolution dynamics of a multi-species mixture of Bose-Einstein condensates in time-dependent potentials. This method, based on a moving and expanding reference frame, compares favorably to a more standard but much more computationally expensive solution based on a frozen frame. It allows an accurate description of the long-time behavior of interacting, multi-species quantum mixtures including the challenging problem of long free expansions relevant to microgravity and space experiments. We demonstrate a successful comparison to experimental measurements of a binary Rb-K mixture recently performed with the payload of a sounding rocket experiment.",
author = "Annie Pichery and Matthias Meister and Baptist Piest and Jonas B{\"o}hm and Rasel, {Ernst Maria} and Eric Charron and Naceur Gaaloul",
note = "Funding Information: The authors thank Gabriel M{\"u}ller for his atom chip simulations and input of the trap configurations used in this paper. This work was funded by the Deutsche Forschungsgemeinschaft (German Research Foundation) under Germany's Excellence Strategy (EXC-2123 QuantumFrontiers Grant No. 390837967) and through CRC 1227 (DQ-mat) within Projects No. A05, and the German Space Agency (DLR) with funds provided by the German Federal Ministry of Economic Affairs and Energy [German Federal Ministry of Education and Research (BMBF)] due to an enactment of the German Bundestag under Grant Nos. 50WM2250A (QUANTUS plus), 50WP1700 (BECCAL), 50WM2245A (CAL-II), 50WM2263A (CARIOQA-GE), 50WM2253A (AI-Quadrat), 50RK1957 (QGYRO), 50NA2106 (QGYRO+), and 50WP1431-1435 (QUANTUS-IV-MAIUS). A.P. and E.C. acknowledge support by the “ADI 2019” project funded by the IDEX Paris-Saclay, ANR-11-IDEX-0003-02. HPC resources from the “M{\'e}socentre” computing center of CentraleSup{\'e}lec, {\'E}cole Normale Sup{\'e}rieure Paris-Saclay and Universit{\'e} Paris-Saclay was supported by CNRS and R{\'e}gion {\^I}le-de-France ( https://mesocentre.universite-paris-saclay.fr/ ). ",
year = "2023",
month = dec,
doi = "10.48550/arXiv.2305.13433",
language = "English",
volume = "5",
journal = "AVS Quantum Science",
issn = "2639-0213",
publisher = "American Institute of Physics",
number = "4",
}