论文标题
自洽核结构计算中的纠缠重排
Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
论文作者
论文摘要
$^4 $ HE和$^6 $的纠缠属性使用核多体计算，特别是单核纠缠熵，以及两核心的互助和消极情绪。通过使用手性有效场理论得出的两体核子核子的相互作用，通过进行主动空间无核构型相互作用来获得核波函数。发现纠缠措施，谐波振荡器（HO），HARTREE-FOCK（HF），天然（NAT）和变异天然（VNAT）碱基表现出不同程度的复杂程度。发现这两个核中的纠缠都比在HO内的最佳HO参数基础上更本地化，并且正如预期的那样，从$^{6} $ HE的整个六体计算中出现了核心价（张量）结构。两种核子的互助信息表明，通常表现出良好的收敛特性的VNAT有效地将活性和不活动的空间解散。我们得出的结论是，单核纠缠的测量方法可用于分析核波函数的结构，尤其是基态的疗效，并且可以提供有用的指标来开发更有效的方案，以从核的结构和反应进行核对，以及更普遍的量子多体系统。
Entanglement properties of $^4$He and $^6$He are investigated using nuclear many-body calculations, specifically the single-nucleon entanglement entropy, and the two-nucleon mutual information and negativity. Nuclear wavefunctions are obtained by performing active-space no-core configuration-interaction calculations using a two-body nucleon-nucleon interaction derived from chiral effective field theory. Entanglement measures within single-particle bases, the harmonic oscillator (HO), Hartree-Fock (HF), natural (NAT) and variational natural (VNAT) bases, are found to exhibit different degrees of complexity. Entanglement in both nuclei is found to be more localized within NAT and VNAT bases than within a HO basis for the optimal HO parameters, and, as anticipated, a core-valence (tensor product) structure emerges from the full six-body calculation of $^{6}$He. The two-nucleon mutual information shows that the VNAT basis, which typically exhibits good convergence properties, effectively decouples the active and inactive spaces. We conclude that measures of one- and two-nucleon entanglement are useful in analyzing the structure of nuclear wave functions, in particular the efficacy of basis states, and may provide useful metrics toward developing more efficient schemes for ab initio computations of the structure and reactions of nuclei, and quantum many-body systems more generally.
