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Radiation statistics of a degenerate parametric oscillator at threshold
by Fabian Hassler, Steven Kim, Lisa Arndt
This Submission thread is now published as
|Authors (as registered SciPost users):||Fabian Hassler · Steven Kim|
|Preprint Link:||https://arxiv.org/abs/2208.14886v2 (pdf)|
|Date submitted:||2023-02-15 13:50|
|Submitted by:||Kim, Steven|
|Submitted to:||SciPost Physics|
As a function of the driving strength, a degenerate parametric oscillator exhibits an instability at which spontaneous oscillations occur. Close to threshold, both the nonlinearity as well as fluctuations are vital to the accurate description of the dynamics. We study the statistics of the radiation that is emitted by the degenerate parametric oscillator at threshold. For a weak nonlinearity, we can employ a quasiclassical description. We identify a universal Liouvillian that captures the relevant long-time dynamics for large photon-numbers. We find that the cumulants obey a universal power-law scaling as a function of the nonlinearity. The Fano factor shows a maximum close, but not coinciding, with the threshold. Moreover, we predict a certain ratio of the first three cumulants to be independent of the microscopic details of the system and connect the results to experimental platforms.
Published as SciPost Phys. 14, 156 (2023)
Author comments upon resubmission
we thank the two referees for their favorable recommendation regarding the suitability of this work for SciPost Physics, and for their helpful suggestions for improvement of the manuscript.
List of changes
- We have included titles for the different sections
- For better readability, we have placed the footnotes at the bottom of the pages rather than in the bibliography.
**As reply to referee 1:**
- We have added two sentences in the abstract that explain our method.
**As reply to referee 2:**
- We have added two sentences to the third paragraph in the introduction to highlight possible physical implementations, together with relevant references
- We have added the new footnote 3.
- We have added a sentence to footnote 6.
- We have added the new appendix A that shows how to derive Eq. (3) from Eq. (2).
- We have added the reference .
Submission & Refereeing History
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