Efficient numerical description of the dynamics of interacting multispecies quantum gases

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Annie Pichery
  • Matthias Meister
  • Baptist Piest
  • Jonas Böhm
  • Ernst Maria Rasel
  • Eric Charron
  • Naceur Gaaloul

External Research Organisations

  • Universite Paris-Sud XI
  • German Aerospace Center (DLR)
View graph of relations

Details

Original languageEnglish
Article number044401
Number of pages16
JournalAVS Quantum Science
Volume5
Issue number4
Early online date7 Nov 2023
Publication statusPublished - Dec 2023

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.

ASJC Scopus subject areas

Cite this

Efficient numerical description of the dynamics of interacting multispecies quantum gases. / Pichery, Annie; Meister, Matthias; Piest, Baptist et al.
In: AVS Quantum Science, Vol. 5, No. 4, 044401, 12.2023.

Research output: Contribution to journalArticleResearchpeer review

Pichery, A, Meister, M, Piest, B, Böhm, J, Rasel, EM, Charron, E & Gaaloul, N 2023, 'Efficient numerical description of the dynamics of interacting multispecies quantum gases', AVS Quantum Science, vol. 5, no. 4, 044401. https://doi.org/10.48550/arXiv.2305.13433, https://doi.org/10.1116/5.0163850
Pichery, A., Meister, M., Piest, B., Böhm, J., Rasel, E. M., Charron, E., & Gaaloul, N. (2023). Efficient numerical description of the dynamics of interacting multispecies quantum gases. AVS Quantum Science, 5(4), Article 044401. https://doi.org/10.48550/arXiv.2305.13433, https://doi.org/10.1116/5.0163850
Pichery A, Meister M, Piest B, Böhm J, Rasel EM, Charron E et al. Efficient numerical description of the dynamics of interacting multispecies quantum gases. AVS Quantum Science. 2023 Dec;5(4):044401. Epub 2023 Nov 7. doi: 10.48550/arXiv.2305.13433, 10.1116/5.0163850
Pichery, Annie ; Meister, Matthias ; Piest, Baptist et al. / Efficient numerical description of the dynamics of interacting multispecies quantum gases. In: AVS Quantum Science. 2023 ; Vol. 5, No. 4.
Download
@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",
number = "4",

}

Download

TY - JOUR

T1 - Efficient numerical description of the dynamics of interacting multispecies quantum gases

AU - Pichery, Annie

AU - Meister, Matthias

AU - Piest, Baptist

AU - Böhm, Jonas

AU - Rasel, Ernst Maria

AU - Charron, Eric

AU - Gaaloul, Naceur

N1 - Funding Information: The authors thank Gabriel Müller 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 “Mésocentre” computing center of CentraleSupélec, École Normale Supérieure Paris-Saclay and Université Paris-Saclay was supported by CNRS and Région Île-de-France ( https://mesocentre.universite-paris-saclay.fr/ ).

PY - 2023/12

Y1 - 2023/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85176270551&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2305.13433

DO - 10.48550/arXiv.2305.13433

M3 - Article

AN - SCOPUS:85176270551

VL - 5

JO - AVS Quantum Science

JF - AVS Quantum Science

IS - 4

M1 - 044401

ER -