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High cooperativity coupling of electron-spin ensembles to superconducting cavities (1006.0242v1)

Published 1 Jun 2010 in cond-mat.mes-hall, cond-mat.supr-con, and quant-ph

Abstract: Electron spins in solids are promising candidates for quantum memories for superconducting qubits because they can have long coherence times, large collective couplings, and many quantum bits can be encoded into the spin-waves of a single ensemble. We demonstrate the coupling of electron spin ensembles to a superconducting transmission-line resonator at coupling strengths greatly exceeding the cavity decay rate and comparable to spin linewidth. We also use the enhanced coupling afforded by the small cross-section of the transmission line to perform broadband spectroscopy of ruby at millikelvin temperatures at low powers. In addition, we observe hyperfine structure in diamond P1 centers and time domain saturation-relaxation of the spins.

Citations (370)

Summary

  • The paper reports robust megahertz-level coupling between electron spins and superconducting cavities, achieving high cooperativity for efficient photon-spin conversion.
  • It employs transmission-line resonators with small mode volumes to resolve broadband ESR and hyperfine structures in ruby and diamond.
  • These findings establish an experimental platform that advances quantum memories and hybrid quantum information processing.

High Cooperativity Coupling of Electron-Spin Ensembles to Superconducting Cavities

This paper investigates the coupling of electron spins in solids to superconducting transmission-line resonators, presenting significant potential for developing quantum memories compatible with superconducting qubits. A primary focus is on maximizing the cooperativity of the interaction between the spins and the resonator, which is effectively the ratio of the coupling strength squared to the product of the cavity decay rate and spin linewidth. Achieving high cooperativity is critical as it governs the efficiency and fidelity of photon-spin-photon conversion processes.

Summary of Methodology and Results

The researchers report megahertz-level interaction strengths in electron spins associated with ruby and nitrogen substitution centers in diamond, coupled to superconducting resonators. This interaction strength vastly exceeds the cavity decay rate and is on par with the spin linewidth, a condition promoting strong coupling. By utilizing transmission-line resonators with small mode volumes, the paper capitalizes on increased single spin-photon coupling coefficients and reduced saturation power requirements. This setup facilitates experiments at millikelvin temperatures with picoliter sample volumes.

The paper demonstrates several key achievements:

  • Observation of broadband electron spin resonance (ESR) of ruby over 10-14.5 GHz frequency range using a superconducting cavity. This enables the resolution of hyperfine structures and characterizes collective coupling.
  • Realization of an avoided crossing in the ESR spectrum of ruby, indicative of coherent spin-photon interactions.
  • Characterization of spin hyperfine splittings in diamond P1 centers via transmission spectroscopy.
  • Time-domain measurements showing the saturation/relaxation dynamics of spins, with cavity Q restored post spin depolarization.

The analysis also underscores the current challenges, such as broad spin linewidths primarily due to hyperfine interactions, that prevent reaching the low-spin-limit of single qubit storage and retrieval efficacy.

Implications and Future Directions

The findings yield several practical and theoretical implications:

  • Enhanced understanding and control of quantum spin dynamics in solid-state systems could significantly aid in realizing quantum memories. The unique characteristics of electron spins, such as long coherence times and holographic encoding capabilities, make them suitable candidates.
  • The developed coplanar waveguide platform can serve as a general experimental tool for ESR spectroscopy, especially for small or low-temperature samples, offering high sensitivity that surpasses conventional ESR approaches.
  • The approach described could benefit applications such as maser amplification and microwave-to-optical photon conversion, facilitating advancements in quantum communication technologies.

Looking ahead, the paper outlines potential avenues for further development. Future work should explore optimizing the Co for various electron spin ensembles, both through improved materials and resonator designs. This includes leveraging alternative microscopic systems with reduced linewidths and exploring integration with superconducting qubits for better coherence. Moreover, sensitivity improvement through quantum-limited detectors and paramagnetic material advancements could enhance capabilities for single-spin detection and manipulation, marking a step toward robust quantum information processing.

Overall, this research contributes to the ever-growing toolkit required for effective quantum computing architectures, by laying the groundwork for hybrid quantum devices that incorporate the strengths of superconducting systems and solid-state spin ensembles.