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arXiv quant-ph/0703167quant-ph
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连续观测的与真空场相互作用的二能级系统

A Continuously Observed Two-level System Interacting with a Vacuum Field

R. Kullock, N. F. Svaiter

摘要:

讨论了量子芝诺效应和量子佯谬。量子芝诺悖论声称,一个连续观测的系统,准备在一个状态,这不是一个本征态的哈密顿算符,永远不会衰变。为了恢复不稳定系统的经典行为,我们考虑了一个分别处于激发态和Poincare不变真空态的二能级系统与玻色场的相互作用.利用含时微扰理论,我们计算了有限时间内二能级系统的自发衰变几率。利用标准变元得到量子芝诺佯谬,我们考虑N个测量,其中N趋于无穷大,我们得到非衰变概率律是纯指数的,因此恢复了经典行为。

英文摘要:

A discussion of the quantum Zeno effect and paradox is given. The quantum Zeno paradox claims that a continuously observed system, prepared in a state which is not an eigenstate of the Hamiltonian operator, never decays. To recover the classical behavior of unstable systems we consider a two-level system interacting with a Bose field, respectively prepared in the excited state and in the Poincare invariant vacuum state. Using time-dependent perturbation theory, we evaluate for a finite time interval the probability of spontaneous decay of the two-level system. Using the standard argument to obtain the quantum Zeno paradox, we consider N measurements where N goes to infinity and we obtain that the non-decay probability law is a pure exponential, therefore recovering the classical behavior.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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