IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924000481.html
   My bibliography  Save this article

Peakons in spinor F=1 Bose–Einstein condensates with PT-symmetric δ-function potentials

Author

Listed:
  • Lao, Jun-Yi
  • Qin, Zi-Yang
  • Zhang, Jia-Rui
  • Shen, Yu-Jia

Abstract

By introducing PT-symmetric δ-function potentials into three-component Gross–Pitaevskii equations that describe spinor F=1 Bose–Einstein condensates, we obtain stable and unstable analytical peakon solutions which enable us to explore the patterns of mean-field and spin-exchange interaction in relation to variations in energy of nonlinear modes. Furthermore, using iterative algorithms, we generate a series of numerical solutions and represent several families of peakon solutions in the form of energy curves, examining the impact of parameters on energy. Additionally, we observe a closed-loop structure in the family of peakons, with P0 and μ0 serving as the coordinate axes. On this curve, we discover stable peakons exhibiting periodic oscillatory properties, which can be regarded as a form of internal energy transfer within the coupled system. This research could contribute to a more comprehensive understanding of coupled nonlinear systems and serve as a reference for future experiments in this domain.

Suggested Citation

  • Lao, Jun-Yi & Qin, Zi-Yang & Zhang, Jia-Rui & Shen, Yu-Jia, 2024. "Peakons in spinor F=1 Bose–Einstein condensates with PT-symmetric δ-function potentials," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000481
    DOI: 10.1016/j.chaos.2024.114497
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924000481
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114497?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. David C. Aveline & Jason R. Williams & Ethan R. Elliott & Chelsea Dutenhoffer & James R. Kellogg & James M. Kohel & Norman E. Lay & Kamal Oudrhiri & Robert F. Shotwell & Nan Yu & Robert J. Thompson, 2020. "Observation of Bose–Einstein condensates in an Earth-orbiting research lab," Nature, Nature, vol. 582(7811), pages 193-197, June.
    2. Zengming Meng & Liangwei Wang & Wei Han & Fangde Liu & Kai Wen & Chao Gao & Pengjun Wang & Cheng Chin & Jing Zhang, 2023. "Atomic Bose–Einstein condensate in twisted-bilayer optical lattices," Nature, Nature, vol. 615(7951), pages 231-236, March.
    3. D. L. Campbell & R. M. Price & A. Putra & A. Valdés-Curiel & D. Trypogeorgos & I. B. Spielman, 2016. "Magnetic phases of spin-1 spin–orbit-coupled Bose gases," Nature Communications, Nature, vol. 7(1), pages 1-7, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jaka Vodeb & Michele Diego & Yevhenii Vaskivskyi & Leonard Logaric & Yaroslav Gerasimenko & Viktor Kabanov & Benjamin Lipovsek & Marko Topic & Dragan Mihailovic, 2024. "Non-equilibrium quantum domain reconfiguration dynamics in a two-dimensional electronic crystal and a quantum annealer," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Naceur Gaaloul & Matthias Meister & Robin Corgier & Annie Pichery & Patrick Boegel & Waldemar Herr & Holger Ahlers & Eric Charron & Jason R. Williams & Robert J. Thompson & Wolfgang P. Schleich & Erns, 2022. "A space-based quantum gas laboratory at picokelvin energy scales," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    3. Jongmin Lee & Roger Ding & Justin Christensen & Randy R. Rosenthal & Aaron Ison & Daniel P. Gillund & David Bossert & Kyle H. Fuerschbach & William Kindel & Patrick S. Finnegan & Joel R. Wendt & Micha, 2022. "A compact cold-atom interferometer with a high data-rate grating magneto-optical trap and a photonic-integrated-circuit-compatible laser system," Nature Communications, Nature, vol. 13(1), pages 1-12, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924000481. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.