TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.6.156
TI  - Radiation statistics of a degenerate parametric oscillator at threshold
PY  - 2023/06/15
UR  - https://www.scipost.org/SciPostPhys.14.6.156
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 6
SP  - 156
A1  - Hassler, Fabian
AU  - Kim, Steven
AU  - Arndt, Lisa
AB  - 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 adiation 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.
ER  -

@Article{10.21468/SciPostPhys.14.6.156,
	title={{Radiation statistics of a degenerate parametric oscillator at threshold}},
	author={Fabian Hassler and Steven Kim and Lisa Arndt},
	journal={SciPost Phys.},
	volume={14},
	pages={156},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.6.156},
	url={https://scipost.org/10.21468/SciPostPhys.14.6.156},
}