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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/05/0839-0848

    • Keywords

       

      Discrete breather; Fermi–Pasta–Ulam model; number state method; boson bound state.

    • Abstract

       

      The bound states of four bosons in the quantum $\beta$-Fermi–Pasta–Ulam model are investigated and some interesting results are presented using the number conserving approximation combined with the number state method. We find that the relative magnitude of anharmonic coefficient has a significant effect on forming localized energy in the model, and the wave number plays an important role in forming different bound states. The signature of the quantum breather is also set up by the square of the amplitudes of the corresponding eigenvectors in real space.

    • Author Affiliations

       

      Xin-Guang Hu1 Ju Xiang2 Zheng Jiao1 Yang Liu3 Guo-Qiu Xie1 Ke Hu3

      1. Department of Physics, Huangshan University, Huangshan 245041, Anhui, China
      2. Department of Basic Sciences, The First Aeronautical Institute of the Air Force, Xinyang 464000, Henan, China
      3. Department of Physics, Xiangtan University, Xiangtan 411105, Hunan, China

    • Dates

       
      Published
      November 2013
      Manuscript received
      6 March 2013
      Manuscript revised
      12 July 2013
      Accepted
      26 July 2013
      Early published
      22 October 2013

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