Temperature-Dependent Spin-Lattice Relaxation of the Nitrogen-Vacancy Spin Triplet in Diamond

Cambria, M.  C.; Norambuena, A.; Dinani, H.  T.; Thiering, G.; Gardill, A.; Kemeny, I.; Li, Y.; Lordi, V.; Gali, Á.; Maze, J.  R.; Kolkowitz, S.

doi:10.1103/physrevlett.130.256903

Title: Temperature-Dependent Spin-Lattice Relaxation of the Nitrogen-Vacancy Spin Triplet in Diamond

Journal Article · Thu Jun 22 00:00:00 EDT 2023 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.130.256903· OSTI ID:2005092

^[1];

^[2]; Dinani, H. T. ^[2];

^[3]; Gardill, A. ^[1]; Kemeny, I. ^[1]; Li, Y. ^[1];

^[4];

^[5]; Maze, J. R. ^[6];

^[1]

Univ. of Wisconsin, Madison, WI (United States)
Universidad Mayor, Santiago (Chile)
Wigner Research Center for Physics, Budapest (Hungary)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Wigner Research Center for Physics, Budapest (Hungary); Budapest University of Technology and Economics, Budapest (Hungary)
Pontifica Universidad Catolica de Chile, Santiago (Chile)

Spin-lattice relaxation within the nitrogen-vacancy (NV) center’s electronic ground-state spin triplet limits its coherence times, and thereby impacts its performance in quantum applications. We report measurements of the relaxation rates on the NV center’s $$|m_s = 0 \rangle ↔ |m_s = ± 1 \rangle$$ and $$|m_s = -1 \rangle ↔ |m_s = + 1\rangle$$ transitions as a function of temperature from 9 to 474 K in high-purity samples. We show that the temperature dependencies of the rates are reproduced by an ab initio theory of Raman scattering due to second-order spin-phonon interactions, and we discuss the applicability of the theory to other spin systems. Using a novel analytical model based on these results, we suggest that the high-temperature behavior of NV spin-lattice relaxation is dominated by interactions with two groups of quasilocalized phonons centered at 68.2(17) and 167(12) meV.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC52-07NA27344; SC0020313

OSTI ID:: 2005092

Report Number(s):: LLNL-JRNL-841182; 1063062; TRN: US2405749

Journal Information:: Physical Review Letters, Vol. 130, Issue 25; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (51)

Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Nanoscale Vector Electric Field Imaging Using a Single Electron Spin Barson, Michael S. J.; Oberg, Lachlan M.; McGuinness, Liam P. Nano Letters, Vol. 21, Issue 7 https://doi.org/10.1021/acs.nanolett.1c00082	journal	March 2021
Strongly anisotropic spin relaxation in the neutral silicon vacancy center in diamond Rose, B. C.; Thiering, G.; Tyryshkin, A. M. Physical Review B, Vol. 98, Issue 23 https://doi.org/10.1103/PhysRevB.98.235140	journal	December 2018
Ab initio theory of the nitrogen-vacancy center in diamond Gali, Ádám Nanophotonics, Vol. 8, Issue 11 https://doi.org/10.1515/nanoph-2019-0154	journal	September 2019
Ab initio calculation of the spin lattice relaxation time $T_{1}$ for nitrogen-vacancy centers in diamond Gugler, J.; Astner, T.; Angerer, A. Physical Review B, Vol. 98, Issue 21 https://doi.org/10.1103/PhysRevB.98.214442	journal	December 2018
Dynamical decoupling of a single-electron spin at room temperature Naydenov, Boris; Dolde, Florian; Hall, Liam T. Physical Review B, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevB.83.081201	journal	February 2011
Diamond optomechanical crystals with embedded nitrogen-vacancy centers Cady, Jeffrey V.; Michel, Ohad; Lee, Kenneth W. Quantum Science and Technology, Vol. 4, Issue 2 https://doi.org/10.1088/2058-9565/ab043e	journal	March 2019
Fast Relaxation on Qutrit Transitions of Nitrogen-Vacancy Centers in Nanodiamonds Gardill, A.; Cambria, M. C.; Kolkowitz, S. Physical Review Applied, Vol. 13, Issue 3 https://doi.org/10.1103/PhysRevApplied.13.034010	journal	March 2020
Vibrational modes and lattice distortion of a nitrogen-vacancy center in diamond from first-principles calculations Zhang, Jianhua; Wang, Cai-Zhuang; Zhu, Z. Z. Physical Review B, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevB.84.035211	journal	July 2011
Quantum guidelines for solid-state spin defects Wolfowicz, Gary; Heremans, F. Joseph; Anderson, Christopher P. Nature Reviews Materials https://doi.org/10.1038/s41578-021-00306-y	journal	April 2021
Atomic-scale imaging of a 27-nuclear-spin cluster using a quantum sensor Abobeih, M. H.; Randall, J.; Bradley, C. E. Nature, Vol. 576, Issue 7787 https://doi.org/10.1038/s41586-019-1834-7	journal	December 2019
Spin dynamics and electronic states of N- V centers in diamond by EPR and four-wave-mixing spectroscopy Redman, D. A.; Brown, S.; Sands, R. H. Physical Review Letters, Vol. 67, Issue 24 https://doi.org/10.1103/PhysRevLett.67.3420	journal	December 1991
Temperature- and Magnetic-Field-Dependent Longitudinal Spin Relaxation in Nitrogen-Vacancy Ensembles in Diamond Jarmola, A.; Acosta, V. M.; Jensen, K. Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.197601	journal	May 2012
Imaging phonon-mediated hydrodynamic flow in WTe2 Vool, Uri; Hamo, Assaf; Varnavides, Georgios Nature Physics, Vol. 17, Issue 11 https://doi.org/10.1038/s41567-021-01341-w	journal	September 2021
Ab initiomolecular dynamics for liquid metals Kresse, G.; Hafner, J. Physical Review B, Vol. 47, Issue 1, p. 558-561 https://doi.org/10.1103/PhysRevB.47.558	journal	January 1993
Robust Decoupling Techniques to Extend Quantum Coherence in Diamond Ryan, C. A.; Hodges, J. S.; Cory, D. G. Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevLett.105.200402	journal	November 2010
Spin-lattice relaxation of individual solid-state spins Norambuena, A.; Muñoz, E.; Dinani, H. T. Physical Review B, Vol. 97, Issue 9 https://doi.org/10.1103/PhysRevB.97.094304	journal	March 2018
Solid-state electronic spin coherence time approaching one second Bar-Gill, N.; Pham, L. M.; Jarmola, A. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2771	journal	April 2013
Direct Nanoscale Sensing of the Internal Electric Field in Operating Semiconductor Devices Using Single Electron Spins Iwasaki, Takayuki; Naruki, Wataru; Tahara, Kosuke ACS Nano, Vol. 11, Issue 2 https://doi.org/10.1021/acsnano.6b04460	journal	January 2017
Divacancy in 4H-SiC Son, N. T.; Carlsson, P.; ul Hassan, J. Physical Review Letters, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevLett.96.055501	journal	February 2006
Toward exact predictions of spin-phonon relaxation times: An ab initio implementation of open quantum systems theory Lunghi, Alessandro Science Advances, Vol. 8, Issue 31 https://doi.org/10.1126/sciadv.abn7880	journal	August 2022
Measurement and Control of Single Nitrogen-Vacancy Center Spins above 600 K Toyli, D. M.; Christle, D. J.; Alkauskas, A. Physical Review X, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevX.2.031001	journal	July 2012
Fault-tolerant operation of a logical qubit in a diamond quantum processor Abobeih, M. H.; Wang, Y.; Randall, J. Nature, Vol. 606, Issue 7916 https://doi.org/10.1038/s41586-022-04819-6	journal	May 2022
Quenching Spin Decoherence in Diamond through Spin Bath Polarization Takahashi, Susumu; Hanson, Ronald; van Tol, Johan Physical Review Letters, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevLett.101.047601	journal	July 2008
Nitrogen-Vacancy Singlet-Manifold Ionization Energy Wolf, S. A.; Meirzada, I.; Haim, G. Physical Review Applied, Vol. 19, Issue 3 https://doi.org/10.1103/PhysRevApplied.19.034076	journal	March 2023
Robust Dynamical Decoupling for Quantum Computing and Quantum Memory Souza, Alexandre M.; Álvarez, Gonzalo A.; Suter, Dieter Physical Review Letters, Vol. 106, Issue 24 https://doi.org/10.1103/PhysRevLett.106.240501	journal	June 2011
Spin-phonon relaxation from a universal ab initio density-matrix approach Xu, Junqing; Habib, Adela; Kumar, Sushant Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-16063-5	journal	June 2020
The spin–spin zero-field splitting tensor in the projector-augmented-wave method Bodrog, Zoltán; Gali, Adam Journal of Physics: Condensed Matter, Vol. 26, Issue 1 https://doi.org/10.1088/0953-8984/26/1/015305	journal	November 2013
Ultra-long coherence times amongst room-temperature solid-state spins Herbschleb, E. D.; Kato, H.; Maruyama, Y. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-11776-8	journal	August 2019
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers Cambria, M. C.; Gardill, A.; Li, Y. Physical Review Research, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevResearch.3.013123	journal	February 2021
Vibronic spectra in diamond Davies, G. Journal of Physics C: Solid State Physics, Vol. 7, Issue 20 https://doi.org/10.1088/0022-3719/7/20/019	journal	October 1974
Nitrogen isotope effects in synthetic diamonds Collins, A. T.; Stanley, M.; Woods, G. S. Journal of Physics D: Applied Physics, Vol. 20, Issue 7 https://doi.org/10.1088/0022-3727/20/7/022	journal	July 1987
Negatively charged boron vacancy center in diamond Umeda, T.; Watanabe, K.; Hara, H. Physical Review B, Vol. 105, Issue 16 https://doi.org/10.1103/PhysRevB.105.165201	journal	April 2022
Proton magnetic resonance imaging using a nitrogen–vacancy spin sensor Rugar, D.; Mamin, H. J.; Sherwood, M. H. Nature Nanotechnology, Vol. 10, Issue 2 https://doi.org/10.1038/nnano.2014.288	journal	December 2014
Realization of a multinode quantum network of remote solid-state qubits Pompili, M.; Hermans, S. L. N.; Baier, S. Science, Vol. 372, Issue 6539 https://doi.org/10.1126/science.abg1919	journal	April 2021
Efficient photon coupling from a diamond nitrogen vacancy center by integration with silica fiber Patel, Rishi N.; Schröder, Tim; Wan, Noel Light: Science & Applications, Vol. 5, Issue 2 https://doi.org/10.1038/lsa.2016.32	journal	February 2016
First-principles theory of the luminescence lineshape for the triplet transition in diamond NV centres Alkauskas, Audrius; Buckley, Bob B.; Awschalom, David D. New Journal of Physics, Vol. 16, Issue 7 https://doi.org/10.1088/1367-2630/16/7/073026	journal	July 2014
Spin-Lattice Relaxation in Cerium Magnesium Nitrate at Liquid Helium Temperature: A New Process Finn, C. B. P.; Orbach, R.; Wolf, W. P. Proceedings of the Physical Society, Vol. 77, Issue 2 https://doi.org/10.1088/0370-1328/77/2/305	journal	February 1961
Optical cryocooling of diamond Kern, M.; Jeske, J.; Lau, D. W. M. Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/PhysRevB.95.235306	journal	June 2017
Spin-lattice relaxation in rare-earth salts Orbach, R. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 264, Issue 1319, p. 458-484 https://doi.org/10.1098/rspa.1961.0211	journal	December 1961
The role of anharmonic phonons in under-barrier spin relaxation of single molecule magnets Lunghi, Alessandro; Totti, Federico; Sessoli, Roberta Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14620	journal	March 2017
Universal control and error correction in multi-qubit spin registers in diamond Taminiau, T. H.; Cramer, J.; van der Sar, T. Nature Nanotechnology, Vol. 9, Issue 3 https://doi.org/10.1038/nnano.2014.2	journal	February 2014
Coherent quantum control of nitrogen-vacancy center spins near 1000 kelvin Liu, Gang-Qin; Feng, Xi; Wang, Ning Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09327-2	journal	March 2019
One-second coherence for a single electron spin coupled to a multi-qubit nuclear-spin environment Abobeih, M. H.; Cramer, J.; Bakker, M. A. Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-04916-z	journal	June 2018
Temperature-dependent coherence properties of NV ensemble in diamond up to 600 K Lin, Shengran; Weng, Changfeng; Yang, Yuanjie Physical Review B, Vol. 104, Issue 15 https://doi.org/10.1103/PhysRevB.104.155430	journal	October 2021
Room temperature coherent control of defect spin qubits in silicon carbide Koehl, William F.; Buckley, Bob B.; Heremans, F. Joseph Nature, Vol. 479, Issue 7371 https://doi.org/10.1038/nature10562	journal	November 2011
Determining Key Local Vibrations in the Relaxation of Molecular Spin Qubits and Single-Molecule Magnets Escalera-Moreno, L.; Suaud, N.; Gaita-Ariño, A. The Journal of Physical Chemistry Letters, Vol. 8, Issue 7 https://doi.org/10.1021/acs.jpclett.7b00479	journal	March 2017
A T ⁵ spin–lattice relaxation rate for non-Kramers ions Walker, M. B. Canadian Journal of Physics, Vol. 46, Issue 11 https://doi.org/10.1139/p68-455	journal	June 1968
Double-Quantum Spin-Relaxation Limits to Coherence of Near-Surface Nitrogen-Vacancy Centers Myers, B. A.; Ariyaratne, A.; Jayich, A. C. Bleszynski Physical Review Letters, Vol. 118, Issue 19 https://doi.org/10.1103/PhysRevLett.118.197201	journal	May 2017
Electronic Structure of the Silicon Vacancy Color Center in Diamond Hepp, Christian; Müller, Tina; Waselowski, Victor Physical Review Letters, Vol. 112, Issue 3 https://doi.org/10.1103/PhysRevLett.112.036405	journal	January 2014

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Title: Temperature-Dependent Spin-Lattice Relaxation of the Nitrogen-Vacancy Spin Triplet in Diamond

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