任意自旋下Leggett-Garg不等式的最优破坏和经典性的非锐测量显现
Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
摘要:
我们考虑具有任意自旋的粒子的时间关联。我们表明,Leggett-Garg不等式可以最大限度地违反自旋的值无关,从而改善了早期的结果由Kofler和Brukner [物理。\textbf{99},180403(2007)]。我们的证明是通过一个适当的采用测量方案,以前已被用于研究在一个系统中的空间相关性与任意自旋。接下来,我们考虑广义或unsharp测量作为一种方法,粗粒化的定量方式,并显示,经典出现低于精确值的锐度参数。Leggett-Garg不等式的满足被证明是宏观实在论的充分必要条件。
英文摘要:
We consider temporal correlations of particles with arbitrary spin. We show that the Leggett-Garg inequality can be maximally violated irrespective of the value of spin, thus improving upon an earlier result by Kofler and Brukner [Phys. Rev. Lett. \textbf{99}, 180403 (2007)]. Our proof is accomplished through a suitable adoption of a measurement scheme which has previously been employed for studying the spatial correlation in a system with arbitrary spin. We next consider generalized or unsharp measurements as a method for coarse graining in a quantitative manner, and show that classicality emerges below a precise value of the sharpness parameter. Satisfaction of the Leggett-Garg inequality is shown to be a necessary and sufficient condition for macroscopic realism.
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