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Influence of dielectric microcavity on the spontaneous emission rate of atom: a perspective on the closed-orbit theory of photons
Authors:Shubao Wang  Xueyou Xu  Hongyun Li  Zhengmao Jia  Shenglu Lin
Abstract:The formulas of the quantum electrodynamics have been applied to calculate the spontaneous emission rate of excited atom in dielectric microcavity.The results exhibit damping oscillating Patterns which depend sensitively on the scaling parameter and geometrical structure.Compared with the case that the emitting atom is immersed in dielectric,the spontaneous emission rate is depressed obviously and the center or the mean value of the oscillations is intimately related to the real refractive index of the local position where the atom is.In order to explain this phenomenon,we utilize the closed-orbit theory to deal with the classical trajectories of the emitted photon.and extract the corresponding frequencies of the oscillations by Fourier transform.It is found that the oscillations can be represented in terms of the closed-orbits of the photon motion constrained in dielectric microcavity,thus providing another perspective on the spontaneous emission of atom sandwiched by dielectric slabs.
Keywords:atom  rate  spontaneous emission  microcavity  dielectric  Influence  photons  theory  perspective  motion  constrained  extract  Fourier transform  deal with  trajectories  order  explain  phenomenon  depressed  center
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