论文标题
氢化纠缠
Hydrogenic entanglement
论文作者
论文摘要
最简单的无处不在的系统中是否有任何纠缠?我们研究了氢化系统的时间无关的Schrödinger方程的解决方案,并为自由和局部状态设计了两个纠缠测试。对于游离氢系统,我们计算了施密特基素化特征态的施密特基底化,以及用于定位于三维高斯波袋的氢系统,我们证明了测量其第二矩足以检测纠缠。我们的结果适用于任何表现出氢结构的系统。
Is there any entanglement in the simplest ubiquitous bound system? We study the solutions to the time-independent Schrödinger equation for a Hydrogenic system and devise two entanglement tests for free and localised states. For free Hydrogenic systems, we compute the Schmidt basis diagonalisation for general energy eigenstates, and for a Hydrogenic system localised to a three-dimensional Gaussian wavepacket, we demonstrate that measuring its second moments is sufficient for detecting entanglement. Our results apply to any system that exhibits Hydrogenic structure.