Abstract

We implement superconducting Yttrium barium copper oxide planar resonators with two fundamental modes for circuit quantum electrodynamics experiments. We first demonstrate good tunability in the resonant microwave frequencies and in their interplay, as emerges from the dependence of the transmission spectra on the device geometry. We then investigate the magnetic coupling of the resonant modes with bulk samples of 2,2-diphenyl-1-picrylhydrazyl organic radical spins. The transmission spectroscopy performed at low temperature shows that the coherent spin-photon coupling regime with the spin ensembles can be achieved by each of the resonator modes. The analysis of the results within the framework of the input-output formalism and by means of entropic measures demonstrates coherent mixing of the degrees of freedom corresponding to two remote spin ensembles and, with a suitable choice of the geometry, the approaching of a regime with spin-induced mixing of the two photon modes.

Highlights

  • Circuit quantum electrodynamics experiments have recently reached the multimode strong coupling regime, in which single qubits are simultaneously coupled to a large number of discrete, spatially separated and nondegenerate photonic modes of a cavity.1–5 Multiple hybridization of collective spin degrees of freedom provided by spin ensembles with single photonic modes has been demonstrated.6–8 In all such kinds of experiments, a crucial role is played by the possibility of tailoring the composition of the coherent hybridization involving multiple microwave photonic modes and spin ensembles, even if spatially separated

  • The analysis of the results within the framework of the input-output formalism and by means of entropic measures demonstrates coherent mixing of the degrees of freedom corresponding to two remote spin ensembles and, with a suitable choice of the geometry, the approaching of a regime with spin-induced mixing of the two photon modes

  • We investigate the mode hybridization resulting from the coherent coupling between two spin ensembles of concentrated 2,2-diphenyl-1-picrylhydrazyl (DPPH) organic radical powders and the resonant modes of planar superconducting dual-mode patch resonators (DMRs)15–18 at microwave (MW) frequencies

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Summary

INTRODUCTION

Circuit quantum electrodynamics (circuit QED) experiments have recently reached the multimode strong coupling regime, in which single qubits are simultaneously coupled to a large number of discrete, spatially separated and nondegenerate photonic modes of a cavity. Multiple hybridization of collective spin degrees of freedom provided by spin ensembles with single photonic modes has been demonstrated. In all such kinds of experiments, a crucial role is played by the possibility of tailoring the composition of the coherent hybridization involving multiple microwave photonic modes and spin ensembles, even if spatially separated. Multiple hybridization of collective spin degrees of freedom provided by spin ensembles with single photonic modes has been demonstrated.6–8 In all such kinds of experiments, a crucial role is played by the possibility of tailoring the composition of the coherent hybridization involving multiple microwave photonic modes and spin ensembles, even if spatially separated. This is one of the main requirements for the implementation of schemes for quantum information processing or in proposing new circuit QED architectures. The microwave signal (green arrows) is injected and collected through two capacitive coupling gaps (100 μm), which are fed by two on-chip microstrip transmission lines These are arranged in two different configurations, hereafter referred to as parallel (a) and perpendicular (b). Fabrication is performed on commercial 10 Â 10 mm YBCO/sapphire films (Ceraco GmbH) which are patterned by optical lithography and wet chemical etching in diluted phosphoric acid, as in Ref. 20

Hamiltonian for DMRs coupled to spin ensembles
Entropy and spin character for hybridized modes
Input-output formalism for DMRs
Experimental set-up
Spectra of bare DMRs
Coupling spin ensembles to DMRs in the parallel geometry
Coupling spin ensembles to DMRs in the perpendicular geometry
Weighs of the spin and photon components
Modal entropy and spin character
CONCLUSIONS
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