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Solving the inverse parametric problem

2025/12/17 by Cortinovis, Michele, Lingua, Fabio, Haviland, David B.
Physics and Astronomy · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions

paper · doi:10.48550/arxiv.2512.15453

openalex publication_date 2025/12/17 · openalex created_date 2025/12/19 · openalex updated_date 2026/07/28

Abstract

We present a method to calculate the frequency components of a pump waveform driving a parametric oscillator, which realizes a desired frequency mixing or scattering between modes. The method is validated by numerical analysis and we study its sensitivity to added Gaussian noise. A series of experiments apply the method and demonstrate its ability to realize complex scattering processes involving many modes at microwave frequencies, including non-reciprocal mode circulation. We also present an approximate method to dynamically control mode scattering, capable of rapidly routing signals between modes in a prescribed manner. These methods are useful tools for encoding and manipulating continuous variable quantum information with multi-modal Gaussian states.

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