Extended Data Fig. 2: Analysis of Hall effect data.
From: A synthetic magnetic vector potential in a 2D superconducting qubit array
(a) The population \(\langle \hat{n}\rangle\) as a function of time. The data shown is for the site indicated by the orange circle in the inset measured at F = − 0.374J and \(\varPhi\) = π/12. The time-averaged population \(\langle \bar{n}\rangle\) of the site is indicated by the horizontal dashed line. (b) The value of \(\langle \bar{n}\rangle\) for each site (at F = − 0.374J, \(\varPhi\) = π/12), shown as a function of each site’s transverse position y. The orange point represents the site shown in the previous subpanel. The vertical teal line indicates the average y position of the particle \(\langle\bar{y}\rangle\). (c) The value of \(\langle\bar{y}\rangle\) at \(\varPhi\) = π/12 and different values of F. The teal point represents the value determined in the previous subpanel (F = − 0.374J). The brown line displays a linear fit to these data; we define the Hall coefficient \(\Delta \langle\bar{y}\rangle /\Delta F\) as its slope. (d) The Hall coefficient at different values of synthetic magnetic field. The brown point indicates the value determined in the previous subpanel (\(\varPhi\) = π/12).
