Cyclic superconducting quantum refrigerators using guided fluxon propagation

We describe quantum refrigerator cycles using magnetic flux vortices in a Type-II superconductor as the cooling agent. We delineate the corresponding thermodynamic cycles for s-wave and d-wave symmetric superconductors. The cooling is achieved by the adiabatic magnetization of flux vortices moving across a magnetic field gradient, driven by an external current source. Additionally, we provide a dynamical description of the heat exchanges with reservoirs and characterize the performance of the refrigerator. Such a refrigerator can be useful in implementing cooling mechanisms in ongoing superconducting circuits and circuit quantum electrodynamical experiments.