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A crucial point in the experimental implementation of hybrid quantum systemsconsisting of superconducting circuits and atomic ensembles is bringing the twopartners close enough to each other that a strong quantum coherent coupling canbe established. Here, we propose to use the metallization structures of a halfwavelength superconducting coplanar waveguide resonator as a persistent currenttrap for ultracold paramagnetic atoms. Trapping atoms with the resonatorstructure itself is provided by using short-ended and inductively coupledresonators instead of capacitively coupled ones as customary in circuit quantumelectrodynamics.We analyze the external quality factor of short-ended coplanarwaveguide resonators and show that it can be easily designed for the desiredregime of quantum circuits. The magnetic field configuration at the resonatoris calculated by means of numerical three-dimensional simulations of the Londonequations. We present a way to transport an atomic ensemble into the coplanarresonator gap where the magnetic field of the cavity mode is maximum. Theconfiguration allows stable trapping by persistent currents and paves the routetowards strong coupling between atomic clouds and the cavity mode which isrequired for cooperative effects and gives the interface between atoms andcircuit quantum electrodynamics.

Inductively coupled superconducting half wavelength resonators as persistent current traps for ultracold atoms