Deep noise squeezing in parametrically driven resonators

Adriano A. Batista, Raoni S.N. Moreira and A.A. Lisboa de Souza

Physica A: Statistical Mechanics and its Applications, 2025, vol. 671, issue C

Abstract: Here we investigate white noise squeezing in the frequency domain of classical parametrically-driven resonators with added noise. We use Green’s functions to analyze the response of resonators to added noise. In one approach, we obtain the Green’s function approximately using the first-order averaging method, while in the second approach, exactly, using Floquet theory. We characterize the noise squeezing by calculating the statistical properties of the real and imaginary parts of the Fourier transform of the resonators response to added noise. In a single parametric resonator, due to correlation, the squeezing limit of −6 dB can be reached even with detuning at the instability threshold in a single parametrically-driven resonator. We also applied our techniques to investigate squeezing in a dynamical system consisting of a parametric resonator linearly coupled to a harmonic resonator. In this system, we were able to observe deep squeezing at around −40 dB in one of the quadratures of the harmonic resonator response. We noticed that this occurs near a Hopf bifurcation to parametric instability, which is only possible when the dynamics of the coupled resonators cannot be decomposed into normal modes. Finally, we also showed that our analysis of squeezing based on Floquet theory can be applied to multiple coupled resonators with parametric modulation and multiple noise inputs.

Keywords: Parametric resonators; Noise squeezing; Floquet theory; Green’s functions (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437125002559
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:671:y:2025:i:c:s0378437125002559

DOI: 10.1016/j.physa.2025.130603

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().