体费米子系统的完全反对称动力学
Fully antisymmetrised dynamics for bulk fermion systems
摘要:
中子星的壳幔是具有空间局域性的非均匀体系统的典型例子。当在低温下模拟这样的系统时,就像地壳中的情况一样,人们必须与反对称的多体状态一起工作,以获得正确的费米子行为。费米子分子动力学是一个合适的选择,它是用定域波包的反对称产物来工作的。在费米子分子动力学形式中加入周期性边界条件,将使中子星的地壳作为一个体量子系统进行研究成为可能。不幸的是,反对称性是一种非局域纠缠,它远远超出了周期性重复的单胞。在这一过程中,我们给出了一个简要的概述如何周期边界条件和费米分子动力学可以结合在一起,而不截断的多体状态的反对称诱导的长程多体关联。
英文摘要:
The neutron star's crust and mantel are typical examples of non-uniform bulk systems with spacial localisations. When modelling such systems at low temperatures, as is the case in the crust, one has to work with antisymmetrised many-body states to get the correct fermion behaviour. Fermionic molecular dynamics, which works with an antisymmetrised product of localised wave packets, should be an appropriate choice. Implementing periodic boundary conditions into the fermionic molecular dynamics formalism would allow the study of the neutron star's crust as a bulk quantum system. Unfortunately, the antisymmetrisation is a non-local entanglement which reaches far out of the periodically repeated unit cell. In this proceeding, we give a brief overview how periodic boundary conditions and fermionic molecular dynamics can be combined without truncating the long-range many-body correlation induced by the antisymmetry of the many-body state.
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