  A crucial point in the experimental implementation of hybrid quantum systems
consisting of superconducting circuits and atomic ensembles is bringing the two
partners close enough to each other that a strong quantum coherent coupling can
be established. Here, we propose to use the metallization structures of a half
wavelength superconducting coplanar waveguide resonator as a persistent current
trap for ultracold paramagnetic atoms. Trapping atoms with the resonator
structure itself is provided by using short-ended and inductively coupled
resonators instead of capacitively coupled ones as customary in circuit quantum
electrodynamics.We analyze the external quality factor of short-ended coplanar
waveguide resonators and show that it can be easily designed for the desired
regime of quantum circuits. The magnetic field configuration at the resonator
is calculated by means of numerical three-dimensional simulations of the London
equations. We present a way to transport an atomic ensemble into the coplanar
resonator gap where the magnetic field of the cavity mode is maximum. The
configuration allows stable trapping by persistent currents and paves the route
towards strong coupling between atomic clouds and the cavity mode which is
required for cooperative effects and gives the interface between atoms and
circuit quantum electrodynamics.
