Superconducting microwave resonators with non-centrosymmetric nonlinearity

Abstract

We investigated both theoretically and experimentally open-ended coplanar waveguide resonators with rf SQUIDs embedded in the central conductor at different positions. These rf SQUIDs can be tuned by an external magnetic field and thus may exhibit the non-centrosymmetric nonlinearity of ${\chi }^{(2)}$ type with suppressed Kerr nonlinearity. We demonstrated that this nonlinearity allows for efficient mixing of $\lambda /2$ and $\lambda$ modes in the cavity and thus enables various parametric effects with three wave mixing. These effects are the second harmonic generation, the half tone generation, the parametric amplification in both degenerate and non-degenerate regimes and deamplification in degenerate regime.

arXiv comment12 pages incl. 9 figures

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Cited by in corpus (5)

• Dissipationless Nonlinearity in Quantum Material Josephson Diodes
• An rf-SQUID-based traveling-wave parametric amplifier with -84 dBm input saturation power across more than one octave bandwidth
• Intrinsic superconducting diode effect and nonreciprocal superconductivity in rhombohedral graphene multilayers
• Two-photon coupling via Josephson element I: Breaking the symmetry with magnetic fields
• A Linear Quantum Coupler for Clean Bosonic Control