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arXiv 2403.13622quant-ph
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氢原子自发辐射单光子能量密度的非局域性

Nonlocality of the energy density of a spontaneously emitted single-photon from a Hydrogen atom

Maxime Federico, Hans-Rudolf Jauslin

AI总结:

本文利用最小耦合与单光子子空间计算氢原子自发辐射光子态,发现能量密度在远场呈 $1/r^6$ 代数衰减,从而证实单光子能量密度的空间非局域性。

摘要:

我们通过能量密度的期望值,分析了氢原子自发衰变所发射单光子的空间非局域性。利用量子化电磁场与原子之间的最小耦合,我们在仅产生单个光子的假设下计算了光子的状态。因此,相关计算在单光子态子空间中进行,这本质上等价于旋波近似。我们得到了能量密度空间衰减的特征描述。在每个给定时间,我们计算了远离原子的大距离渐近极限,发现其具有 $1/r^6$ 的代数行为。该结果证实单光子态的能量密度是非局域的,而且这种代数衰减远不同于理论所预言的最大准指数局域化。

英文摘要:

We analyze through the expectation value of the energy density the spatial nonlocality of single photons emitted by the spontaneous decay of a Hydrogen atom. By using a minimal coupling between the quantized electromagnetic field and the atom, we compute the state of the photon under the assumption that only a single-photon is produced. The calculations are thus performed in the subspace of single-photon states which is essentially equivalent to the rotating wave approximation. We obtain a characterization of the spatial decay of the energy density. We compute the asymptotic limit of large distances from the atom at each given time, and find an algebraic behavior of $1/r^6$. This result confirms that the energy density of single-photon states is nonlocal and the algebraic decay is far from the maximal quasiexponential localization predicted by the theory.

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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