Experimental Solid State Quantum Simulation Using 1D Superlattice Structures*

Quantum systems exhibit behavior that is difficult to model. One approach is to use configurable quantum systems in which the Hamiltonian can be mapped onto the system of interest. This approach, known as quantum simulation, requires a rich system whose quanta and interactions can be controlled precisely, at the level of single electrons and other degrees of freedom. Here we describe steps toward developing a quantum simulation platform using the complex oxide heterostructure LaAlO₃/SrTiO₃ by creating systems with features comparable to the mean spacing between electrons. The interface has strong, sign changing, gate-tunable e-e interactions that can influence the quantum ground state. We explore magnetotransport of 1D superlattices, where periodic modulation produces dispersive features not seen in control devices. These results can be compared with effective 1D model Hamiltonians to bridge experiment and theory and enable quantum simulation of more complex systems.