2017/12/31 by Fang Ni, F. Ni, Takashi Nakatsukasa +1 · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Collective motion #Hamiltonian (control theory) #Mathematics #Mean field theory #Nuclear physics research studies #Pairing #Physics #Quantization (signal processing) #Quantum mechanics #Quasiparticle #Spectroscopy and Quantum Chemical Studies #Statistical physics #Superconductivity #nucl-th
paper · pdf · doi:10.1103/physrevc.97.044310
published as Phys. Rev. C 97, 044310 (2018) · 28 pages, 13 figures
openalex publication_date 2018/04/12 · arxiv created 2018/04/19 · arxiv updated 2018/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
To describe quantal collective phenomena, it is useful to requantize the time-dependent mean-field dynamics. We study the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory for the two-level pairing Hamiltonian, and compare results of different quantization methods. The one constructing microscopic wave functions, using the TDHFB trajectories fulfilling the Einstein-Brillouin-Keller quantization condition, turns out to be the most accurate. The method is based on the stationary-phase approximation to the path integral. We also examine the performance of the collective model which assumes that the pairing gap parameter is the collective coordinate. The applicability of the collective model is limited for the nuclear pairing with a small number of single-particle levels, because the pairing gap parameter represents only a half of the pairing collective space.