通过伪自旋算子探测Mermin不等式的违反

Q2 Physics and Astronomy Physics Open Pub Date : 2023-08-16 DOI:10.1016/j.physo.2023.100177

Philipe De Fabritiis , Itzhak Roditi , Silvio P. Sorella

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引用次数: 0

摘要

利用用伪自旋算子建立的两种不同的贝尔设置，分析了Mermin不等式的违反。利用压缩态和相干态定义的纠缠态，求出n=3和n=4时Mermin多项式Mn的期望值。在每种情况下，我们分析了相关器< Mn >，并确定了导致违反Mermin不等式和量子力学预测的边界饱和的参数集。

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Probing Mermin’s inequalities violations through pseudospin operators

The violation of Mermin’s inequalities is analyzed by making use of two different Bell setups built with pseudospin operators. Employing entangled states defined by means of squeezed and coherent states, the expectation value of Mermin’s polynomials $M_{n}$ is evaluated for $n = 3$ and $n = 4$ . In each case, we analyze the correlator $〈 M_{n} 〉$ and identify the set of parameters leading to the violation of Mermin’s inequalities and to the saturation of the bound predicted by Quantum Mechanics.