Parametric amplification and squeezing with an ac- and dc-voltage biased superconducting junction
Udson C. Mendes, S\'ebastien Jezouin, Philippe Joyez, Bertrand Reulet,, Alexandre Blais, Fabien Portier, Christophe Mora, and Carles Altimiras

TL;DR
This paper proposes a theoretical model for a superconducting junction-based parametric amplifier that uses combined ac and dc voltages to achieve high gain and squeezing, with tunable performance and broad bandwidth.
Contribution
It introduces a novel superconducting junction amplifier design leveraging quasiparticle dynamics and photon-assisted tunneling for enhanced, tunable quantum-limited amplification and squeezing.
Findings
Over 20 dB phase-sensitive microwave amplification
Broadband phase-preserving amplification of 20 dB over 1.2 GHz
Single- and two-mode squeezing exceeding -12 dB over 5.3 GHz
Abstract
We theoretically investigate a near-quantum-limited parametric amplifier based on the nonlinear dynamics of quasiparticles flowing through a superconducting-insulator-superconducting junction. Photon-assisted tunneling, resulting from the combination of dc- and ac-voltage bias, gives rise to a strong parametric interaction for the electromagnetic modes reflected by the junction coupled to a transmission line. We show phase-sensitive and phase-preserving amplification, together with single- and two-mode squeezing. For an aluminum junction pumped at twice the center frequency, ~GHz, we predict narrow-band phase-sensitive amplification of microwaves signals to more than 20 dB, and broadband phase-preserving amplification of 20 dB over a 1.2 GHz 3-dB bandwidth. We also predict single- and two-mode squeezing reaching more than -12 dB over 5.3 GHz 3-dB bandwidth. Moreover,…
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