Abstract
Spectral hole burning, used in inhomogeneously broadened emitters, is a well-established optical1 technique, with applications from spectroscopy to slow light2 and frequency combs3. In microwave photonics4, electron spin ensembles5,6 are candidates for use as quantum memories7 with potentially long storage times8. Here, we demonstrate long-lived collective dark states9 by spectral hole burning in the microwave regime10. The coherence time in our hybrid quantum system (nitrogen–vacancy centres strongly coupled to a superconducting microwave cavity) becomes longer than both the ensemble's free-induction decay and the bare cavity dissipation rate. The hybrid quantum system thus performs better than its individual subcomponents. This opens the way for long-lived quantum multimode memories, solid-state microwave frequency combs, spin squeezed states11, optical-to-microwave quantum transducers12 and novel metamaterials13. Beyond these, new cavity quantum electrodynamics experiments will be possible where spin–spin interactions and many-body phenomena14 are directly accessible.
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References
Moerner, W. E. Persistent Spectral Hole-Burning: Science and Applications (Springer Science & Business Media, 2012).
Turukhin, A. V. et al. Observation of ultraslow and stored light pulses in a solid. Phys. Rev. Lett. 88, 023602 (2001).
de Riedmatten, H., Afzelius, M., Staudt, M. U., Simon, C. & Gisin, N. A solid-state light–matter interface at the single-photon level. Nature 456, 773–777 (2008).
Xiang, Z.-L., Ashhab, S., You, J. Q. & Nori, F. Hybrid quantum circuits: superconducting circuits interacting with other quantum systems. Rev. Mod. Phys. 85, 623–653 (2013).
Kubo, Y. et al. Strong coupling of a spin ensemble to a superconducting resonator. Phys. Rev. Lett. 105, 140502 (2010).
Amsüss, R. et al. Cavity QED with magnetically coupled collective spin states. Phys. Rev. Lett. 107, 060502 (2011).
Nunn, J. et al. Multimode memories in atomic ensembles. Phys. Rev. Lett. 101, 260502 (2008).
Plankensteiner, D., Ostermann, L., Ritsch, H. & Genes, C. Selective protected state preparation of coupled dissipative quantum emitters. Sci. Rep. 5, 16231 (2015).
Zhu, X. et al. Observation of dark states in a superconductor diamond quantum hybrid system. Nat. Commun. 5, 3424 (2014).
Krimer, D. O., Hartl, B. & Rotter, S. Hybrid quantum systems with collectively coupled spin states: suppression of decoherence through spectral hole burning. Phys. Rev. Lett. 115, 033601 (2015).
Wineland, D. J., Bollinger, J. J., Itano, W. M. & Heinzen, D. J. Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A 50, 67–88 (1994).
Stannigel, K., Rabl, P., Sørensen, A. S., Zoller, P. & Lukin, M. D. Optomechanical transducers for long-distance quantum communication. Phys. Rev. Lett. 105, 220501 (2010).
Rakhmanov, A. L., Zagoskin, A. M., Savel'ev, S. & Nori, F. Quantum metamaterials: electromagnetic waves in a Josephson qubit line. Phys. Rev. B 77, 144507 (2008).
Ma, W.-L. et al. Uncovering many-body correlations in nanoscale nuclear spin baths by central spin decoherence. Nat. Commun. 5, 4822 (2014).
Lvovsky, A. I., Sanders, B. C. & Tittel, W. Optical quantum memory. Nat. Photon. 3, 706–714 (2009).
İmamoǧlu, A. Cavity QED based on collective magnetic dipole coupling: spin ensembles as hybrid two-level systems. Phys. Rev. Lett. 102, 083602 (2009).
Schuster, D. I. et al. High-cooperativity coupling of electron–spin ensembles to superconducting cavities. Phys. Rev. Lett. 105, 140501 (2010).
Nakamura, Y., Pashkin, Y. A. & Tsai, J. S. Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature 398, 786–788 (1999).
Wallraff, A. et al. Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics. Nature 431, 162–167 (2004).
Saeedi, K. et al. Room-temperature quantum bit storage exceeding 39 minutes using ionized donors in silicon-28. Science 342, 830–833 (2013).
Wu, H. et al. Storage of multiple coherent microwave excitations in an electron spin ensemble. Phys. Rev. Lett. 105, 140503 (2010).
Putz, S. et al. Protecting a spin ensemble against decoherence in the strong-coupling regime of cavity QED. Nat. Phys. 10, 720–724 (2014).
Zhang, X. et al. Magnon dark modes and gradient memory. Nat. Commun. 6, 8914 (2015).
Dicke, R. H. Coherence in spontaneous radiation processes. Phys. Rev. 93, 99–110 (1954).
Thompson, R. J., Rempe, G. & Kimble, H. J. Observation of normal-mode splitting for an atom in an optical cavity. Phys. Rev. Lett. 68, 1132–1135 (1992).
Kurucz, Z., Wesenberg, J. H. & Mølmer, K. Spectroscopic properties of inhomogeneously broadened spin ensembles in a cavity. Phys. Rev. A 83, 053852 (2011).
Diniz, I. et al. Strongly coupling a cavity to inhomogeneous ensembles of emitters: potential for long-lived solid-state quantum memories. Phys. Rev. A 84, 063810 (2011).
Fleischhauer, M., İmamoǧlu, A. & Marangos, J. P. Electromagnetically induced transparency: optics in coherent media. Rev. Mod. Phys. 77, 633–673 (2005).
Purcell, E. M. Spontaneous emission probabilities at radio frequencies. Phys. Rev. 69, 681 (1946).
Nöbauer, T. et al. Creation of ensembles of nitrogen-vacancy centers in diamond by neutron and electron irradiation. Preprint at http://lanl.arxiv.org/abs/1309.0453v1 (2013).
Acknowledgements
The authors thank A. Ardavan, B. Hartl, G. Kirchmair, K. Nemoto, H. Ritsch and M. Trupke for helpful discussions. The experimental effort led by J.M. was supported by the Top-/Anschubfinanzierung grant of TU Wien. S.P. and A.A. acknowledge support from the Austrian Science Fund (FWF) in the framework of the Doctoral School ‘Building Solids for Function’ Project W1243. D.O.K. and S.R. acknowledge funding by the Austrian Science Fund (FWF) through the Spezialforschungsbereich (SFB) NextLite Project No. F49-P10.
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S.P., A.A., J.S. and J.M. designed and set up the experiment. A.A. and R.G. carried out the measurements under the supervision of S.P. and J.M. D.O.K. and S.R. devised the theoretical framework and, together with W.J.M., provided the theoretical support for modelling the experiment. S.P. wrote the manuscript and all authors suggested improvements.
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Putz, S., Angerer, A., Krimer, D. et al. Spectral hole burning and its application in microwave photonics. Nature Photon 11, 36–39 (2017). https://doi.org/10.1038/nphoton.2016.225
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DOI: https://doi.org/10.1038/nphoton.2016.225
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