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arXiv physics/0111058physics.opticsphysics.gen-ph
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慢光的量子灾变

Quantum catastrophe of slow light

Ulf Leonhardt

摘要:

灾难是许多迷人的光学现象的核心。例如,彩虹是一种光线灾难,光线变得无限强烈。光的波动性质解决了无限的射线灾难,同时绘制了微妙的干涉图案,如彩虹的额外弧。黑洞导致波的奇异性。在时间静止的事件视界,波以无限小的波长振荡。光的量子性质避免了这种更高层次的灾难性行为,同时产生了一种称为霍金辐射的量子现象。正如这封信所描述的那样,在实验室实验中,光静止下来,也会遭受类似的波奇异性,这是由群速度的抛物线分布引起的。反过来,量子真空被迫产生具有特征光谱的光子对。除了经典的灾变理论之外,这个想法可能会引发量子灾变理论,而拟议中的实验可能会导致第一次直接观察到与霍金辐射有关的现象。

英文摘要:

Catastrophes are at the heart of many fascinating optical phenomena. The rainbow, for example, is a ray catastrophe where light rays become infinitely intense. The wave nature of light resolves the infinities of ray catastrophes while drawing delicate interference patterns such as the supernumerary arcs of the rainbow. Black holes cause wave singularities. Waves oscillate with infinitely small wave lengths at the event horizon where time stands still. The quantum nature of light avoids this higher level of catastrophic behaviour while producing a quantum phenomenon known as Hawking radiation. As this letter describes, light brought to a standstill in laboratory experiments can suffer a similar wave singularity caused by a parabolic profile of the group velocity. In turn, the quantum vacuum is forced to create photon pairs with a characteristic spectrum. The idea may initiate a theory of quantum catastrophes, in addition to classical catastrophe theory, and the proposed experiment may lead to the first direct observation of a phenomenon related to Hawking radiation.

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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