揭示量子芝诺效应中隐藏的信息:量子到达时间的脉冲测量
Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival
摘要:
很久以前就有人提出了对量子粒子进行重复测量以检查其在空间区域中的存在[G。R. Allcock,Ann. Phys. { \bf 53},286(1969)]作为确定在正交子空间处的到达时间分布的自然方式,但是该方法由于量子芝诺效应而被丢弃:在非常频繁的测量的极限中,波函数被反射并且保持在原始子空间中。我们表明,通过规范化的小比特到达(删除)规范,一个理想的时间分布出现在对应于一个经典的本地动能分布。
英文摘要:
Repeated measurements of a quantum particle to check its presence in a region of space was proposed long ago [G. R. Allcock, Ann. Phys. {\bf 53}, 286 (1969)] as a natural way to determine the distribution of times of arrival at the orthogonal subspace, but the method was discarded because of the quantum Zeno effect: in the limit of very frequent measurements the wave function is reflected and remains in the original subspace. We show that by normalizing the small bits of arriving (removed) norm, an ideal time distribution emerges in correspondence with a classical local-kinetic-energy distribution.
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