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We examine the DC and radio frequency (RF) response of superconducting transmission line resonators comprised of very thin NbTiN films, [Formula: see text] in thickness, in the high-temperature limit, where the photon energy is less than the thermal energy. The resonant frequencies of these superconducting resonators show a significant nonlinear response as a function of RF input power, which can approach a frequency shift of [Formula: see text] in a [Formula: see text] span in the thinnest film. The strong nonlinear response allows these very thin film resonators to serve as high kinetic inductance parametric amplifiers.more » « less
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