Fig. 4: Bloch-Shapiro steps in the V(IJ)-relation of a transmon in circuit 1.
From: Quantum theory of Bloch oscillations in a resistively shunted transmon
The curve is plotted with the help of Eqs. (38) and (39) for K = 1/8. The steps in V(IJ) are centered at the values of current corresponding to the multiples of the microwave frequency, IJ = n ⋅ 2eωac/2π. A finite width of the steps I⋆,n [see Eq. (37)] stems from the zero-point fluctuations of charge transferred through the resistor. Dashed line shows V(IJ) in the absence of microwaves.
