On the static effective Lindbladian of the squeezed Kerr oscillator

TL;DR

This paper derives a more accurate static effective Lindbladian for a driven nonlinear oscillator, revealing significant dissipative effects beyond the RWA that impact quantum error correction and experimental predictions.

Contribution

It introduces a method to derive the static effective Lindbladian beyond the RWA for driven nonlinear oscillators, accounting for higher-order dissipative effects.

Findings

Higher-order dissipators significantly affect system dynamics.

Differences between RWA predictions and experimental results are explained.

Implications for quantum error correction protocols.

Abstract

We derive the static effective Lindbladian beyond the rotating wave approximation (RWA) for a driven nonlinear oscillator coupled to a bath of harmonic oscillators. The associated dissipative effects may explain orders of magnitude differences between the predictions of the ordinary RWA model and results from recent superconducting circuits experiments on the Kerr-cat qubit. The higher-order dissipators found in our calculations have important consequences for quantum error-correction protocols and parametric processses.