Boson bound states in the $\beta$-Fermi–Pasta–Ulam model
Xin-Guang Hu Ju Xiang Zheng Jiao Yang Liu Guo-Qiu Xie Ke Hu
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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.
Xin-Guang Hu1 Ju Xiang2 Zheng Jiao1 Yang Liu3 Guo-Qiu Xie1 Ke Hu3
Volume 97, 2023
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