# High cooperativity coupling between a phosphorus donor spin ensemble and a superconducting microwave resonator

@article{Zollitsch2015HighCC,
title={High cooperativity coupling between a phosphorus donor spin ensemble and a superconducting microwave resonator},
author={C. W. Zollitsch and Kai Mueller and David P Franke and Sebastian T. B. Goennenwein and Martin S. Brandt and Rudolf Gross and Hans Huebl},
journal={arXiv: Quantum Physics},
year={2015}
}
We investigate the coupling of an ensemble of phosphorus donors in an isotopically purified $^{28}$Si host lattice interacting with a superconducting coplanar waveguide resonator. The microwave transmission spectrum of the resonator shows a normal mode splitting characteristic for high cooperativity. The evaluated collective coupling strength $g_{\mathrm{eff}}$ is of the same order as the loss rate of the spin system $\gamma$, indicating the onset of strong coupling. We develop a statistical… Expand

#### Figures from this paper

High-Cooperativity Coupling of a Rare-Earth Spin Ensemble to a Superconducting Resonator Using Yttrium Orthosilicate as a Substrate
Yttrium orthosilicate (Y$_2$SiO$_5$, or YSO) has proved to be a convenient host for rare-earth ions used in demonstrations of microwave quantum memories and optical memories with microwaveExpand
Quantitative Modeling of Superconducting Planar Resonators for Electron Spin Resonance
• Physics
• Physical Review Applied
• 2019
We present three designs for planar superconducting microwave resonators for electron spin resonance (ESR) experiments. We implement finite element simulations to calculate the resonance frequencyExpand
Collective strong coupling with homogeneous Rabi frequencies using a 3D lumped element microwave resonator
We design and implement 3D-lumped element microwave cavities that spatially focus magnetic fields to a small mode volume. They allow coherent and uniform coupling to electron spins hosted by nitrogenExpand
Single Excitation Transfer in the Quantum Regime: A Spin-Based Solid-State Approach
Realisation of strong coupling between a superconducting microwave resonator and an ensemble of phosphorus donor spins, contained in an isotopically purified silicon host crystal. Investigation ofExpand
Coherent coupling of molecular spins with microwave photons in planar superconducting resonators
• Physics
• 2018
Abstract Within the quest for solid state quantum systems to be used for fundamental as well as applied research, molecular spins have recently emerged as a versatile platform with interestingExpand
Loop-gap Microwave Resonator for Hybrid Quantum Systems
We designed a loop-gap microwave resonator for applications of spin-based hybrid quantum systems, and tested it with impurity spins in diamond. The microwave ac magnetic field is homogeneous moreExpand
Coherent coupling between Vanadyl Phthalocyanine spin ensemble and microwave photons: towards integration of molecular spin qubits into quantum circuits
• Physics, Medicine
• Scientific Reports
• 2017
It is shown that it is possible to obtain high cooperativity regime between a molecular Vanadyl Phthalocyanine (VOPc) spin ensemble and a high quality factor superconducting YBa2Cu3O7 (YBCO) coplanar resonator at 0.5 K, demonstrating that molecular spin centers can be successfully integrated in hybrid quantum devices. Expand
Coplanar cavity for strong coupling between photons and magnons in van der Waals antiferromagnet
We investigate the performance of niobium nitride superconducting coplanar waveguide resonators toward realizing hybrid quantum devices with magnon-photon coupling. We find internal quality factors ∼Expand
Tunable magnon-photon coupling in a compensating ferrimagnet—from weak to strong coupling
We experimentally study the magnon-photon coupling in a system consisting of a compensating ferrimagnet gadolinium iron garnet (GdIG) and a three-dimensional microwave cavity. The temperature isExpand
Linear Hyperfine Tuning of Donor Spins in Silicon Using Hydrostatic Strain.
The results provide a framework for making quantitative predictions of donor spins in silicon nanostructures, such as those being used to develop silicon-based quantum processors and memories. Expand

#### References

SHOWING 1-10 OF 35 REFERENCES
Strong magnetic coupling of an inhomogeneous nitrogen-vacancy ensemble to a cavity
We study experimentally and theoretically a dense ensemble of negatively charged nitrogen-vacancy centers in diamond coupled to a high $Q$ superconducting coplanar waveguide cavity mode at lowExpand
High cooperativity in coupled microwave resonator ferrimagnetic insulator hybrids.
The observation of strong coupling between the exchange-coupled spins in a gallium-doped yttrium iron garnet and a superconducting coplanar microwave resonator made from Nb demonstrates that exchange-Coupled systems are suitable for cavity quantum electrodynamics experiments, while allowing high integration densities due to their spin densities of the order of one Bohr magneton per atom. Expand
High-cooperativity coupling of electron-spin ensembles to superconducting cavities.
The coupling of electron-spin ensembles to a superconducting transmission-line cavity at strengths greatly exceeding the cavity decay rates and comparable to the spin linewidths is demonstrated. Expand
Probing dynamics of an electron-spin ensemble via a superconducting resonator.
The observed temperature-independent spin relaxation time indicates that spin outdiffusion across the mode volume dominates over spin-lattice relaxation, with implications for the use of subensembles as independent quantum memories. Expand
Strong coupling of a spin ensemble to a superconducting resonator.
A quantum circuit in which an ensemble of electronic spins is coupled to a frequency tunable superconducting resonator and the appearance of a vacuum Rabi splitting in the transmission spectrum of the resonator when its frequency is tuned through the nitrogen-vacancy center electron spin resonance. Expand
Storage of multiple coherent microwave excitations in an electron spin ensemble.
H holographic techniques are employed to realize a coherent memory using a pulsed magnetic field gradient and the storage and retrieval of up to 100 weak 10 GHz coherent excitations in collective states of an electron spin ensemble are demonstrated. Expand
Hybridizing ferromagnetic magnons and microwave photons in the quantum limit.
• Physics, Medicine
• Physical review letters
• 2014
We demonstrate large normal-mode splitting between a magnetostatic mode (the Kittel mode) in a ferromagnetic sphere of yttrium iron garnet and a microwave cavity mode. Strong coupling is achieved inExpand
Electron Spin Resonance Experiments on Donors in Silicon. I. Electronic Structure of Donors by the Electron Nuclear Double Resonance Technique
The ground-state wave function of the antimony, phosphorus, and arsenic impurities in silicon has been investigated by means of the electron nuclear double resonance (ENDOR) method. By this methodExpand
Multi-mode storage and retrieval of microwave fields in a spin ensemble
A quantum memory at microwave frequencies, able to store the state of multiple superconducting qubits for long times, is a key element for quantum information processing. Electronic and nuclear spinsExpand
Ultralow-power spectroscopy of a rare-earth spin ensemble using a superconducting resonator
Interfacing superconducting quantum processors, working in the GHz frequency range, with optical quantum networks and atomic qubits is a challenging task for the implementation of distributed quantumExpand