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Three-Mode Approximation of Symmetrical Triple-Square Wells

Received: 4 March 2014     Accepted: 11 April 2014     Published: 20 April 2014
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Abstract

One transformation, analogy to two mode approximation, is presented for triple-square wells. The energy splitting is determined by the strength of the tunneling coupling between nearest neighbor wells, while the next-nearest neighbor tunneling coupling plays crucial role to the invariant first excited state with the maximum entanglement states for the far separated square-wells

Published in American Journal of Modern Physics (Volume 3, Issue 2)
DOI 10.11648/j.ajmp.20140302.20
Page(s) 113-117
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Symmetrical Triple-Square Wells, Three-Mode Approximation, Energy Spectrum, Transformation

References
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[3] Xin-You Lu and Jing Wu, Three-mode entanglement viatunneling-induced interference in a coupled triple-semiconductor quantum-well structure, Pyhs. Rev. A. 82, 012323(2010)
[4] Jero Me Rech and Stefan Kehrein, Effect of Measurement Backaction on Adiabatic Coherent Electron Transport, Phys. Rev. Lett. 106,136808 (2011)
[5] B. Liu, L. B. Fu, S. P. Yang, and, J. Liu, Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap, Phys. Rev. A.75, 033601 (2007)
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[7] Rosario Paredes, Tunneling of ultracold Bose gases in multiple wells, Phys. Rev. A. 73, 033616 (2006)
[8] Thiago F Viscondi, and, K Furuya, Dynamics of Bose-Einstein condensate in a symmetric triple-well trap,J. Phys.A.44,1753 (2011)
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Cite This Article
  • APA Style

    XinJian Liu, WeiDong Li. (2014). Three-Mode Approximation of Symmetrical Triple-Square Wells. American Journal of Modern Physics, 3(2), 113-117. https://doi.org/10.11648/j.ajmp.20140302.20

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    ACS Style

    XinJian Liu; WeiDong Li. Three-Mode Approximation of Symmetrical Triple-Square Wells. Am. J. Mod. Phys. 2014, 3(2), 113-117. doi: 10.11648/j.ajmp.20140302.20

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    AMA Style

    XinJian Liu, WeiDong Li. Three-Mode Approximation of Symmetrical Triple-Square Wells. Am J Mod Phys. 2014;3(2):113-117. doi: 10.11648/j.ajmp.20140302.20

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  • @article{10.11648/j.ajmp.20140302.20,
      author = {XinJian Liu and WeiDong Li},
      title = {Three-Mode Approximation of Symmetrical Triple-Square Wells},
      journal = {American Journal of Modern Physics},
      volume = {3},
      number = {2},
      pages = {113-117},
      doi = {10.11648/j.ajmp.20140302.20},
      url = {https://doi.org/10.11648/j.ajmp.20140302.20},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140302.20},
      abstract = {One transformation, analogy to two mode approximation, is presented for triple-square wells. The energy splitting is determined by the strength of the tunneling coupling between nearest neighbor wells, while the next-nearest neighbor tunneling coupling plays crucial role to the invariant first excited state with the maximum entanglement states for the far separated square-wells},
     year = {2014}
    }
    

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    T1  - Three-Mode Approximation of Symmetrical Triple-Square Wells
    AU  - XinJian Liu
    AU  - WeiDong Li
    Y1  - 2014/04/20
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    DO  - 10.11648/j.ajmp.20140302.20
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
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    AB  - One transformation, analogy to two mode approximation, is presented for triple-square wells. The energy splitting is determined by the strength of the tunneling coupling between nearest neighbor wells, while the next-nearest neighbor tunneling coupling plays crucial role to the invariant first excited state with the maximum entanglement states for the far separated square-wells
    VL  - 3
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Author Information
  • Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China

  • Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China

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