arXiv 2006.028712020-06-04nucl-thcond-mat.supr-conphysics.chem-ph

Hartree-Fock-Bogoliubov参考态的零配对极限

Zero-pairing limit of Hartree-Fock-Bogoliubov reference states

T. Duguet, B. Bally, A. Tichai

备注：: 20 pages, 9 figures
发表信息：: Phys. Rev. C 102, 054320 (2020)
DOI：: 10.1103/PhysRevC.102.054320

摘要：

变分Hartree-Fock-Bogoliubov（HFB）平均场论是研究超流系统的各种从头算多体方法的出发点。虽然采取零配对限制的HFB方程构成了教科书的问题时，系统是封闭的（子）壳层字符，它通常被认为是不明确的，虽然错误的，每当天真的填充单粒子水平对应于一个开放的壳层系统。目前的工作表明，零配对极限的HFB状态是数学定义良好，独立于封闭或开放壳层的限制系统的字符。尽管如此，极限状态的性质在很大程度上取决于底层的壳层结构和相关的天真填充达到零对极限的粒子数A的兴趣。所有的分析结果都得到了证实和数值说明。虽然HFB理论在过去的几十年里已经在形式上和数值上进行了深入的研究，但它仍然揭示了未知的和有些意想不到的特征。从这个角度来看，目前的分析表明，HFB理论并没有减少到Hartree-Fock理论，即使在HFB哈密顿矩阵中的配对场被驱动到零。

英文摘要：

The variational Hartree-Fock-Bogoliubov (HFB) mean-field theory is the starting point of various (ab initio) many-body methods dedicated to superfluid systems. While taking the zero-pairing limit of HFB equations constitutes a text-book problem when the system is of closed-(sub)shell character, it is typically, although wrongly, thought to be ill-defined whenever the naive filling of single-particle levels corresponds to an open-shell system. The present work demonstrates that the zero-pairing limit of an HFB state is mathematically well-defined, independently of the closed- or open-shell character of the system in the limit. Still, the nature of the limit state strongly depends on the underlying shell structure and on the associated naive filling reached in the zero-pairing limit for the particle number A of interest. All the analytical findings are confirmed and illustrated numerically. While HFB theory has been intensively scrutinized formally and numerically over the last decades, it still uncovers unknown and somewhat unexpected features. From this general perspective, the present analysis demonstrates that HFB theory does not reduce to Hartree-Fock theory even when the pairing field is driven to zero in the HFB Hamiltonian matrix.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文