• Boson bound states in the $\beta$-Fermi–Pasta–Ulam model

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 97, 2023
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019