Photonic Honeycomb Lattice with circuit QED system by Triple-Leg Stripline Resonator

A circuit quantum electrodynamic (QED) system which is used superconducting resonator has

been developed for several decades in various elds including quantum computing. Also, quantum

simulation such as photonic lattice structure by superconducting microwave photons has been improved

as artificial atomic structures. This artificial lattice is helpful for understanding material

without impurity. Now, we introduce to create diverse lattice structures, especially hexagonal

structures, by using superconducting resonator in circuit QED system. A graphene, one of the

representative of hexagonal structure, is well known as Dirac material in which electrons show

massless motion. These honeycomb lattices was hard to implement with typical linear superconducting

resonator. Hence, we theoretically suggest graphene-like optical lattice in circuit QED

system using triple-leg stripline resonator (TSR) which has naturally two-fold degenerated ground

states. Through numerical calculation, we compare energy band of honeycomb photonic lattice

structure by TSR with graphene energy band. We also show difference of edge state of zigzag

graphene nanoribbon (ZGNR) and zigzag TSR photonic nano ribbon (ZTPNR). This edge state

of superconducting photonic lattice is tunable and controlled by superconducting qubits.