Quantum Simulation of 1D Lattices with Superconducting Circuits*

The field of circuit QED has emerged as a rich platform for both quantum computation and quantum simulation. Lattices of coplanar waveguide (CPW) resonators realize artificial photonic materials in the tight-binding limit [1] capable of realizing non-Euclidean geometries [2] and unconventional unit cells [3]. Combined with strong qubit-photon interactions, these systems can be used to study dynamical phase transitions, many-body phenomena, and spin models in driven-dissipative systems. Here we present preliminary measurements from circuit QED lattice systems, including a quasi 1D lattice with gapped flat bands and linear band crossings coupled to transmon qubits. Probing these systems allows us to study photon mediated qubit-qubit interactions as a model for interacting spins in a material defined by the same band structure.

 

[1] D. Underwood et al., Phys. Rev. A 86, 023837 (2012)

[2] A. J. Kollár et al., Nature 571, 45 (2019)

[3] A. J. Kollár et al., Comm. Math. Phys. 376,1909 (2019)

 

This work received support from the National Science Foundation (QLCI grant OMA-2120757, NSF grant PHY2047732) and the Air Force Office of Scientific Research (AFOSR grant FA9550-21-1-0129).