Boson bound states in the 𝛽-Fermi–Pasta–Ulam model

Pramana

Guo-Qiu Xie²  Zheng Jiao²  Xin-Guang Hu²  Ju Xiang2¹  Ke Hu³  Yang Liu³ 

[1] Department of Basic Sciences, The First Aeronautical Institute of the Air Force, Xinyang 464000, Henan, China$$;Department of Physics, Huangshan University, Huangshan 245041, Anhui, China$$;Department of Physics, Xiangtan University, Xiangtan 411105, Hunan, China$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The bound states of four bosons in the quantum 𝛽-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.

【 授权许可】

Unknown