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PreprintarXiv licencearXiv

Nonlinearity management of matter-wave vector solitons of Bose-Einstein condensates in two dimensions

  • F. Kh. Abdullaev
  • J. S. Yuldashev
  • M. Ögren
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Abstract

The evolution of matter-wave vector solitons in two dimensions under nonlinearity management is studied. The averaged over strong and rapid modulations in time of the inter-species interactions vector Gross-Pitaevskii equation is derived. The averaging gives the appearance of the effective nonlinear quantum pressure depending on the population of the other component. Using this system of equations, the dynamical stabilization of the two-dimensional vector matter-wave solitons under the management of the mean-field nonlinearity is investigated. It is shown that the nonlinear quantum pressure arrests the collapse in the averaged system, giving rise to stable vector solitons. Full numerical simulations of the original, time-dependent system of Gross-Pitaevskii equations confirm that the management strongly prolongs the lifetime of these solitons compared to the unmanaged case.

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Cite

BibTeXRIS
BibTeX
@misc{abdullaev2026nonlinearity,
  title = {{Nonlinearity management of matter-wave vector solitons of Bose-Einstein condensates in two dimensions}},
  author = {F. Kh. Abdullaev and J. S. Yuldashev and M. Ögren},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11536},
  eprint = {2610.11536},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11536},
}
RIS
TY  - UNPB
TI  - Nonlinearity management of matter-wave vector solitons of Bose-Einstein condensates in two dimensions
AU  - F. Kh. Abdullaev
AU  - J. S. Yuldashev
AU  - M. Ögren
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11536
UR  - https://arxiv.org/abs/2610.11536
AB  - The evolution of matter-wave vector solitons in two dimensions under nonlinearity management is studied. The averaged over strong and rapid modulations in time of the inter-species interactions vector Gross-Pitaevskii equation is derived. The averaging gives the appearance of the effective nonlinear quantum pressure depending on the population of the other component. Using this system of equations, the dynamical stabilization of the two-dimensional vector matter-wave solitons under the management of the mean-field nonlinearity is investigated. It is shown that the nonlinear quantum pressure arrests the collapse in the averaged system, giving rise to stable vector solitons. Full numerical simulations of the original, time-dependent system of Gross-Pitaevskii equations confirm that the management strongly prolongs the lifetime of these solitons compared to the unmanaged case.
ER  -