全同粒子纠缠度的测量及反对称性的影响
Measurement of Identical Particle Entanglement and the Influence of Antisymmetrisation
摘要：
我们通过对多势阱中少粒子系统的测量，探讨了对称性和纠缠之间的关系。特别是，考虑到两个或三个被困的原子，我们测量和区分相关性所产生的两个不同的物理起源：反对称的费米子波函数和粒子之间的相互作用。我们量化这通过纠缠负性的状态，并引入反对称负性，这使我们能够理解的作用，对称性在测量的纠缠特性。我们将这个概念应用于纯理论状态和实验重建的密度矩阵的两个或三个移动粒子的光镊阵列。
英文摘要：
We explore the relationship between symmetrisation and entanglement through measurements on few-particle systems in a multi-well potential. In particular, considering two or three trapped atoms, we measure and distinguish correlations arising from two different physical origins: antisymmetrisation of the fermionic wavefunction and interaction between particles. We quantify this through the entanglement negativity of states, and the introduction of an antisymmetric negativity, which allows us to understand the role that symmetrisation plays in the measured entanglement properties. We apply this concept both to pure theoretical states and to experimentally reconstructed density matrices of two or three mobile particles in an array of optical tweezers.
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