A triplet of coupled Kerr-nonlinear oscillators in the quantum regime (part 1)

A two-photon-driven Kerr-nonlinear oscillator in the quantum regime displays rich physics, such as the creation and stabilization of Schrödinger-cat states [1,2] and complex quantum tunneling dynamics in the associated double-well quasi-potential [3,4]. So far, studies of these systems in the deep quantum regime, where the Kerr nonlinearity is significantly larger than the single-photon loss rate, are limited to single oscillators. In this talk, we will discuss our progress towards demonstrating interactions between a triplet of such oscillators, implemented in a superconducting circuit device. Our system is a platform for the study of fundamental effects between quantum parametric oscillators as well as for proof-of-concept demonstrations in quantum error correction.

This talk is part one of a two-part talk.

[1] Puri, S., Boutin, S. & Blais, A. npj Quantum Information 3, 18 (2017).

[2] Grimm, A., Frattini, N.E. et al. Nature 584, 205–209 (2020).

[3] Marthaler, M. & Dykman, M. I. Phys. Rev. A 76, 010102 (2007).

[4] Frattini, N. E., Cortinas, R. G. et al. Phys. Rev. X 14, 031040 (2024).