Abstract
A general expression for the spectrum of cascade spontaneous emission from an arbitrary multilevel system is presented. Effects of the quantum interference of photons emitted in different transitions are analyzed. These effects are especially essential when the transition frequencies are close. Several examples are considered: (i) Three-level system; (ii) Harmonic oscillator; (iii) System with equidistant levels and equal rates of the spontaneous decay for all the transitions; (iv) Dicke superradiance model.
Highlights
A general expression for the spectrum of cascade spontaneous emission from an arbitrary multilevel system is presented
The standard textbook expression for the spectrum of spontaneous emission from a (N+1)-level system with the states 0, 1, ... , N includes a set of Lorentzians centered at the frequencies, ZN,N 1 ... , Z21, and Z10, with their widths
If the transition frequencies are close, the Lorentzians are superimposed. This means that the correspondence of a photon to a particular transition is a priori unknown, and this is just the case of the quantum interference
Summary
A general expression for the spectrum of cascade spontaneous emission from an arbitrary multilevel system is presented. [1]) for the spectrum of spontaneous emission from a (N+1)-level system with the states 0 , 1 , ... N includes a set of Lorentzians centered at the frequencies , ZN,N 1 ... If the transition frequencies are close, the Lorentzians are superimposed.
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