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arXiv · 2103.16619

On the early-time behavior of quantum subharmonic generation

Yunjin Choi·Boerge Hemmerling·Shan-Wen Tsai·Allen P. Mills Jr
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Abstract

A few years ago Avetissian {\it et al.} \cite{Avetissian2014,Avetissian2015} discovered that the exponential growth rate of the stimulated annihilation photons from a singlet positronium Bose-Einstein condensate should be proportional to the square root of the positronium number density, not to the number density itself. In order to elucidate this surprising result obtained via a field-theoretical analysis, we point out that the basic physics involved is the same as that of resonant subharmonic transitions between two quantum oscillators. Using this model, we show that nonlinearities of the type discovered by Avetissian {\it et al.} are not unique to positronium and in fact will be encountered in a wide range of systems that can be modeled as nonlinearly coupled quantum oscillators.

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Yunjin Choi, Boerge Hemmerling, Shan-Wen Tsai, Allen P. Mills Jr. 2021-03-30. On the early-time behavior of quantum subharmonic generation. https://doi.org/10.1103/physreva.103.043518

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