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arXiv 1702.00894quant-phcond-mat.quant-gas
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通过两粒子接触相互作用的Bell态:Shannon熵作为纠缠动力学的指示

Bell States via Two-Particle Contact Interaction: Shannon Entropy as an Indicator of Entanglement Dynamics

Sandeep Mishra, Anjana Bagga, Anu Venugopalan

摘要:

我们研究了量子双阱中两个相互作用粒子的相干动力学,并表明香农熵可以是纠缠的一个明确的签名,作为一种替代的一致性,以前没有报道的连接。这个物理模型,包括隧道效应和接触相互作用,类似于哈伯德模型,它解释了粒子间相互作用的物理过程。我们发现,隧道和接触相互作用之间的相互作用产生贝尔本征态,从而确保并发和香农熵,两个数量有着截然不同的物理解释,开发相同的时间依赖性。我们的结果,应用于三个实验实现的物理模型的工作空间和自旋自由度,是显着的,因为它提供了一种新的措施纠缠适用于许多系统目前正在探索可扩展的量子计算。

英文摘要:

We study the coherent dynamics of two interacting particles in a quantum double-well and show that the Shannon entropy can be a definitive signature of entanglement as an alternative to concur- rence, a connection not reported previously. This physical model, involving tunneling and contact interaction, is akin to the Hubbard model which explains the physics of interacting particles in peri- odic potentials. We show that an interplay between tunneling and contact interaction produces Bell like eigenstates ensuring thereby that the concurrence and the Shannon entropy, two quantities with vastly different physical interpretations, develop the same time dependence. Our result, applied to three experimentally realized physical models works for both spatial and spin degrees of freedom and is significant as it provides a novel measure of entanglement applicable to many systems currently being explored for scalable quantum computation.

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