Resonant effects in the strongly driven phase-biased Cooper-pair box

TL;DR

This paper investigates how strong driving influences resonance positions in a phase-biased Cooper-pair box, revealing amplitude-dependent shifts in resonance conditions unlike weak driving scenarios.

Contribution

It provides a detailed analysis of resonant effects under strong driving in a Cooper-pair box, highlighting the amplitude dependence of resonance positions.

Findings

Resonance positions shift with driving amplitude in strong driving regime

Contrast with weak driving where resonance positions are amplitude-independent

Analysis applicable to weakly coupled superconducting qubits

Abstract

We study the time-averaged upper level occupation probability in a strongly driven two level system, particularly its dependence on the driving amplitude, frequency and the energy level separation. In contrast to the case of weak driving, when the positions of the resonances almost do not depend on the driving amplitude, in the case of the strong diving their positions are strongly amplitude-dependent. We study these resonances in the concrete system -- the strongly driven phase-biased Cooper-pair box, which is considered to be weakly coupled to the tank circuit.