论文标题

Bogoliubov Vacua重叠的新型和实用的配方

A new and practical formulation for overlaps of Bogoliubov vacua

论文作者

Carlsson, B. G., Rotureau, J.

论文摘要

在这封信中,我们为基于Hartree-fock-Bogoliubov的理论中波形的重叠的新表达式提供了新的表达。从Bertsch等人的Pfaffian公式开始(Phys。Rev.Lett。108,042505(2012)),得出了重叠的精确且计算稳定的公式。我们在粒子界投影方法的上下文中使用数值应用说明了这种新公式的便利性。这种新的公式可以大大提高化学,原子和核物理应用中的精度和多功能性,尤其是用于处理超流体,对称性恢复和非正交多体多体基础状态的方法。

In this letter we present a new expression for the overlaps of wavefunctions in Hartree-Fock-Bogoliubov based theories. Starting from the Pfaffian formula by Bertsch et al (Phys. Rev. Lett. 108,042505 (2012)), an exact and computationally stable formula for overlaps is derived. We illustrate the convenience of this new formulation with a numerical application in the context of the particle-number projection method. This new formula allows for substantially increased precision and versatility in chemical, atomic, and nuclear physics applications, particularly for methods dealing with superfluidity, symmetry restoration and uses of non-orthogonal many-body basis states.

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