Abstract It has been known that the time-dependent Hartree-Fock (TDHF) method, or the time-dependent density functional theory (TDDFT), fails to describe many-body quantum tunneling. We overcome this problem by superposing a few time-dependent Slater determinants with the time-dependent generator coordinate method (TDGCM). We apply this method to scattering of two α particles in one dimension, and demonstrate that the TDGCM method yields a finite tunneling probability even at energies below the Coulomb barrier, at which the tunneling probability is exactly zero in the TDHF. This is the first case in which a many-particle tunneling is simulated with a microscopic real-time approach.

中文翻译：

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多粒子隧穿的时间相关发生器坐标方法

摘要 众所周知，瞬态 Hartree-Fock (TDHF) 方法或瞬态密度泛函理论 (TDDFT) 无法描述多体量子隧道效应。我们通过使用时间相关生成器坐标方法 (TDGCM) 叠加一些时间相关 Slater 行列式来克服这个问题。我们将此方法应用于一维中两个 α 粒子的散射，并证明 TDGCM 方法即使在库仑势垒以下的能量下也能产生有限的隧道概率，此时隧道概率在 TDHF 中恰好为零。这是第一个使用微观实时方法模拟多粒子隧穿的情况。