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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

Submission summary

Authors (as registered SciPost users): Fabian Hassler · Steven Kim
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-04-11
Date submitted: 2023-02-15 13:50
Submitted by: Kim, Steven
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


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.

Author comments upon resubmission

Dear Editor,
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 [30].

Published as SciPost Phys. 14, 156 (2023)

Reports on this Submission

Anonymous Report 2 on 2023-2-27 (Invited Report)


The authors have addressed my earlier comments properly. I recommend that the manuscript is accepted.

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Anonymous Report 1 on 2023-2-23 (Invited Report)


No more comments

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