Experimental Determination of Electronic States via Digitized Shortcut to Adiabaticity and Sequential Digitized Adiabaticity

A combination of digitized shortcut to adiabaticity (STA) and sequential is implemented in a superconducting quantum device determine the electronic states two example systems, ${\mathrm{H}}_{2}$ molecule topological Bernevig-Hughes-Zhang (BHZ) model. For ${\mathrm{H}}_{2}$, short internuclear distance chosen as starting point, at which ground excited are obtained via STA. From this sequence distances built. The eigenstates each sequentially determined from those previous adiabaticity, leading potential energy landscapes ${\mathrm{H}}_{2}$. same approach applied BHZ model valence conduction bands with high degree accuracy along $X$-$\mathrm{\ensuremath{\Gamma}}$-$X$ line cut first Brillouin zone. Furthermore, numerical simulation method performed successfully extract hydrogen chains lengths between three six atoms.