Coherent Rabi response of a charge-phase qubit under microwave irradiation

TL;DR

This study investigates the coherent Rabi oscillations of a charge-phase qubit under microwave irradiation, revealing complex impedance effects and demonstrating persistent multi-photon Rabi dynamics at millikelvin temperatures.

Contribution

It provides the first detailed radio-frequency impedance measurements of a charge-phase qubit under microwave irradiation, highlighting backaction effects and the coexistence of positive and negative resistance.

Findings

Observation of negative and positive real parts of qubit impedance.

Detection of persistent multi-photon Rabi oscillations.

Quantitative impedance values around 0.017 Ω at millikelvin temperatures.

Abstract

We report on radio-frequency measurements of the charge-phase qubit being under continuous microwave irradiation in the state of weak coupling to a radio-frequency tank circuit. We studied the rf impedance dependence on the two important parameters such as power of microwave irradiation whose frequency is close to the gap between the two lowest qubit energy levels, and temperature of the internal heat bath. We have found that backaction effects of the qubit on the rf tank, and vice versa, tank on the qubit, lead to a negative as well as a positive real part of the qubit impedance Re$Z(\omega)$ seen by the tank. We have implemented noise spectroscopy measurements for direct impedance readout at the extreme points corresponding to maximum voltage response and obtained absolute values of about 0.017 $\Omega$ for the negative and positive Re$Z(\omega)$. Our results demonstrate the existence and persistence of the coherent single- and multi-photon Rabi dynamics of the qubit with both negative and positive dynamic resistance inserted into the tank in the temperature range of 10 to 200 mK.