Extended Data Fig. 4: Position versus time in the Hall effect experiment at synthetic magnetic flux π/6 per plaquette and at various synthetic electric field strengths.
From: A synthetic magnetic vector potential in a 2D superconducting qubit array
(a) Average longitudinal position. (b) Average transverse position. Experimental data are shown at various synthetic electric field strengths and accompanied by simulations of the device and of the idealized Harper-Hofstadter model. Time is presented in units of inverse coupling strengths. Positions are written in units of unit cell length, for example, the initial position of the particle is (x, y) = (0, 0), and the position of the rightmost site is \((x,\,y)=(3\sqrt{2},\,0)\). Importantly, the longitudinal position of the particle is roughly the same for electric fields F and − F, yet the transverse deflection is not. This feature is not consistent with a description of the Hall effect in terms of a Lorentz force v × B for a classical velocity v. (c) The change in transverse deflection per change in flux, extracted from the data in Fig. 5b by linear fits of \(\langle\bar{y}\rangle\) versus synthetic magnetic flux. Values are shown as a function of synthetic electric field; the offset between experimental results and results from the idealized model in large part reflects the additional transverse deflection caused by inhomogeneity in the effective coupling strengths Jij across the lattice.
