Probing simulated 1D quantum materials using single quantum channels

Quantum simulation of strongly correlated electronic systems remains an important long-range goal in the field of quantum information. Thus far, much progress has been made with ultracold atomic simulators which can resolve individual atoms and a variety of interesting phases. Nanoscale control of the metal-insulator transition at the LaAlO$_3$/SrTiO$_3$ interface\footnote{Cen, C. \textit{et al.} Nature Mater. \textbf{7}, 298--302 (2008).}, combined with the wide variety of phenomena this system exhibits such as superconductivity and magnetism, provides an alternate approach to solid-state quantum simulation. Our research currently focuses on measuring the properties of 1D simulated materials at the LaAlO$_3$/SrTiO$_3$ interface, at high magnetic fields, using quantum point contacts as well-defined probes.