Double-pumped Bogoliubov parametric amplifier using a superconducting Bose-Hubbard dimer

Quantum limited standing-wave amplifiers in superconducting circuits
are key tools for quantum-device readout, relying on Josephson junction
or high kinetic inductance nonlinearities to convert pump energy
into signal gain[1,2]. However, their performance is typically limited by
operation near dynamic instability, restricting bandwidth. We discuss
a class of standing-wave parametric amplifiers known as Bogoliubov
amplifiers [3], which leverage double-pump drives to operate far from
the instability region, thereby overcoming the intrinsic gain-bandwidth
limitation. We demonstrate this concept on a Bose-Hubbard dimer
formed by two coupled Kerr resonators [4], showing that double-pump
driving enables tunable gain, bandwidth, and noise performance. This
establishes Bogoliubov amplifiers as a promising platform for scalable
qubit readout and precision quantum measurements. [1] P. Winkel, et
al., Phys. Rev. Appl. 13.2 (2020). [2] D. J. Parker, et al., Phys. Rev.
Appl. 17.3 (2022). [3] A. Metelmann, et al., arXiv:2208.00024 (2022).
[4] N. Zapata, et al., Phys. Rev. Lett. 133. 26 (2024)