English

Revealing Excited States of Rotational Bose-Einstein Condensates

Quantum Gases 2023-12-05 v2

Abstract

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condensates are systematically studied by calculating the stationary points of the Gross-Pitaevskii energy functional. Various excited states and their connections at different rotational frequencies are revealed in solution landscapes constructed with the constrained high-index saddle dynamics method. Four excitation mechanisms are identified: vortex addition, rearrangement, merging, and splitting. We demonstrate changes in the ground state with increasing rotational frequencies and decipher the evolution of the stability of ground states.

Keywords

Cite

@article{arxiv.2301.00425,
  title  = {Revealing Excited States of Rotational Bose-Einstein Condensates},
  author = {Jianyuan Yin and Zhen Huang and Yongyong Cai and Qiang Du and Lei Zhang},
  journal= {arXiv preprint arXiv:2301.00425},
  year   = {2023}
}