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Bulletin of the American Physical Society

Exploring synthetic quantum matter in superconducting circuits

Ruichao Ma, Brendan Saxberg, Clai Owens, David Schuster, Jonathan Simon

Published Mar 5, 2020• 0 citations
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Chains of superconducting devices provide a natural platform for exploration of synthetic bosonic quantum matter, and the possibility to tune parametric disorder $i\phantom{\rule{0}{0ex}}n$ $s\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}u$ makes them an ideal framework for the study of localization physics in particular. Here, the authors demonstrate that by tuning disorder strength via external magnetic field, one can probe both ergodic and many-body localized phases in a disordered bosonic Hubbard model. Simulations of time evolution suggest that coherence times of currently available devices are sufficiently long to distinguish between the two phases using the temporal fluctuations of local occupations.
Transport measurements are fundamental for understanding condensed matter phenomena, from superconductivity to the fractional quantum Hall effect. Analogously, they can be powerful tools for probing synthetic quantum matter in quantum simulators. Here we demonstrate the measurement of in situ particle current in a superconducting circuit lattice and apply it to study transport in both coherent and bath-coupled lattices. Our method utilizes controlled tunneling in a double-well potential to map current to on-site density, revealing site-resolved current and current statistics. We prepare a strongly interacting Bose-Hubbard lattice at different lattice fillings, and observe the change in current statistics as the many-body states transition from superfluid to Mott insulator. Furthermore, we explore nonequilibrium current dynamics by coupling the lattice to engineered driven-dissipative baths that serve as tunable particle source and drain. We observe steady-state current in discrete conduction channels and interaction-assisted transport. These results establish a versatile platform to investigate microscopic quantum transport in superconducting circuits.