Ilan received a B.S. in Physics from the University of California, Santa Barbara in 2015 and a Ph.D. in Applied Physics from Stanford University in 2021. In his Ph.D., advised by Prof. David Goldhaber-Gordon, Ilan studied electronic transport in topological materials, focusing on chiral transport in quantum anomalous Hall systems and on superconductor/topological insulator interfaces. Ilan is currently a postdoc at MIT in the Engineering Quantum Systems group led by Prof. William Oliver, where he received the Intelligence Community Postdoctoral Research Fellowship. At MIT, uses arrays of superconducting qubits to simulate condensed matter systems. His research interests also include novel superconducting qubit and hybrid spin qubit/ superconducting qubit device architectures.
Arrays of coupled superconducting qubits are a compelling platform for analog quantum simulations of solid-state matter and many-body physics. These devices natively emulate the Bose-Hubbard model while offering a high degree of control, fast operation rates, and site-resolved readout. We discuss recent experiments using a 4-by-4 array of transmon qubits. By adopting a parametric coupling scheme, we emulate a 2D material in an adjustable electromagnetic field and demonstrate the Aharonov-Bohm effect, Faraday’s law of induction, and the Hall effect. We then emulate a material with flat bands, and we study the interplay between band structure and disorder-induced localization and delocalization. We conclude by discussing a near-term path towards utility-scale analog quantum simulators based on superconducting qubit arrays.