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The controlled fission, fusion and collision behavior of two species Bose–Einstein condensates with an optical potential

  • Zhang-Ming He , Qian-Quan Zhu and Xin Zhou EMAIL logo
Published/Copyright: May 15, 2023
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 78 Issue 7

Abstract

By using the Crank–Nicolson method, we investigate numerically the dynamical properties of bright–bright solitons in two species Bose–Einstein condensates (BECs) trapped in an optical lattice. We confirm that the soliton splitting behavior occurs at a critical depth of optical potential. The splitting behavior of solitons and the fusion behavior of condensates can be accurately controlled by adjusting the depth and lattice parameter of optical potential, the initial amplitude and position of solitons, and the interspecies interactions. When the lattice parameter is fixed but the interspecies interaction increased exponentially with the time, each soliton splits into two soltions with different amplitude, and partial fusion of two species BECs can be found. While the interspecies interaction remains unchanged but the lattice parameter increases exponentially with the time, interestingly, the bright solitons with zero initial velocity can pass through each other and accomplish a transmission collision. Furthermore, for the case of both the interspecies interaction and lattice parameter increased exponentially with the time, a head-on collision of the bright solitons in two species BECs occurred. After the collision, each soliton splits into two soltions with equal amplitude. Meanwhile, the complete fusion of two species BECs can be observed. The relevant results can provide help for the precise manipulation of BECs experiments.

Keywords: Bose–Einstein condensates; bright-bright solitons; optical lattice
Corresponding author: Xin Zhou, College of Science, Hunan University of Technology, Zhuzhou 412007, P.R. China, E-mail:

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 11975094

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 12005057

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: Supported by National Natural Science Foundation of China (Grant Nos. 11975094 and 12005057).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2023-01-27
Accepted: 2023-04-23
Published Online: 2023-05-15
Published in Print: 2023-07-26

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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  4. Dynamical Systems & Nonlinear Phenomena
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https://doi.org/10.1515/zna-2023-0020
Keywords for this article
Bose–Einstein condensates; bright-bright solitons; optical lattice

Articles in the same Issue

  1. Frontmatter
  2. Atomic, Molecular & Chemical Physics
  3. A comparative study on the local structures of the V4+ and Cu2+ centers in WO3
  4. Dynamical Systems & Nonlinear Phenomena
  5. The controlled fission, fusion and collision behavior of two species Bose–Einstein condensates with an optical potential
  6. On the multi-component Heisenberg supermagnet models in (1+1) and (2+1)-dimensions
  7. Gravitation & Cosmology
  8. Anisotropic solutions in f(Q) gravity with hybrid expansion
  9. Hydrodynamics
  10. Rayleigh–Taylor stability of quantum magnetohydrodynamic plasma with electron inertia and resistivity
  11. Magnetic and porous effects on steady state and flow resistance of Burgers fluids between parallel plates
  12. Effects of plaque shape on arterial blood flow
  13. Quantum Theory
  14. Green’s function analysis of the neutron Lloyd interferometer
  15. Solid State Physics & Materials Science
  16. Calcium oxide decorated graphene oxide nanocomposite as energy storage medium: synthesis and characterization
  17. Comparative study of structural, optical and electrical properties variation of pure, (Ag, Mg) doped and co-doped ZnO nanostructured thin films
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