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Title: State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers

Abstract

Understanding the limits to the spin coherence of the nitrogen-vacancy (NV) center in diamond is vital to realizing the full potential of this quantum system. We show that relaxation on the |ms = –1> ↔|ms = +1> transition occurs approximately twice as fast as relaxation on the |ms = 0> ↔|ms = ±1> transitions under ambient conditions in native NVs in high-purity bulk diamond. The rates we observe are independent of NV concentration over four orders of magnitude, indicating they are limited by spin-phonon interactions. We find that the maximum theoretically achievable coherence time for an NV at 295 K is limited to 6.8(2) ms. Lastly, we present a theoretical analysis of our results that suggests Orbach-like relaxation from quasilocalized phonons or contributions due to higher-order terms in the spin-phonon Hamiltonian are the dominant mechanism behind |ms = –1> ↔|ms = +1> relaxation, motivating future measurements of the temperature dependence of this relaxation rate.

Authors:
ORCiD logo; ORCiD logo; ORCiD logo; ORCiD logo; ; ORCiD logo
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1765032
Alternate Identifier(s):
OSTI ID: 1764987
Grant/Contract Number:  
SC0020313
Resource Type:
Published Article
Journal Name:
Physical Review Research
Additional Journal Information:
Journal Name: Physical Review Research Journal Volume: 3 Journal Issue: 1; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Electron-phonon coupling; Spin relaxation; Nitrogen vacancy centers in diamond; Electron spin resonance; Optically detected magnetic resonance

Citation Formats

Cambria, M. C., Gardill, A., Li, Y., Norambuena, A., Maze, J. R., and Kolkowitz, S. State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers. United States: N. p., 2021. Web. doi:10.1103/PhysRevResearch.3.013123.
Cambria, M. C., Gardill, A., Li, Y., Norambuena, A., Maze, J. R., & Kolkowitz, S. State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers. United States. https://doi.org/10.1103/PhysRevResearch.3.013123
Cambria, M. C., Gardill, A., Li, Y., Norambuena, A., Maze, J. R., and Kolkowitz, S. Tue . "State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers". United States. https://doi.org/10.1103/PhysRevResearch.3.013123.
@article{osti_1765032,
title = {State-dependent phonon-limited spin relaxation of nitrogen-vacancy centers},
author = {Cambria, M. C. and Gardill, A. and Li, Y. and Norambuena, A. and Maze, J. R. and Kolkowitz, S.},
abstractNote = {Understanding the limits to the spin coherence of the nitrogen-vacancy (NV) center in diamond is vital to realizing the full potential of this quantum system. We show that relaxation on the |ms = –1> ↔|ms = +1> transition occurs approximately twice as fast as relaxation on the |ms = 0> ↔|ms = ±1> transitions under ambient conditions in native NVs in high-purity bulk diamond. The rates we observe are independent of NV concentration over four orders of magnitude, indicating they are limited by spin-phonon interactions. We find that the maximum theoretically achievable coherence time for an NV at 295 K is limited to 6.8(2) ms. Lastly, we present a theoretical analysis of our results that suggests Orbach-like relaxation from quasilocalized phonons or contributions due to higher-order terms in the spin-phonon Hamiltonian are the dominant mechanism behind |ms = –1> ↔|ms = +1> relaxation, motivating future measurements of the temperature dependence of this relaxation rate.},
doi = {10.1103/PhysRevResearch.3.013123},
journal = {Physical Review Research},
number = 1,
volume = 3,
place = {United States},
year = {Tue Feb 09 00:00:00 EST 2021},
month = {Tue Feb 09 00:00:00 EST 2021}
}

Works referenced in this record:

Strain Coupling of a Nitrogen-Vacancy Center Spin to a Diamond Mechanical Oscillator
journal, July 2014


Production of oriented nitrogen-vacancy color centers in synthetic diamond
journal, July 2012

  • Edmonds, A. M.; D’Haenens-Johansson, U. F. S.; Cruddace, R. J.
  • Physical Review B, Vol. 86, Issue 3
  • DOI: 10.1103/PhysRevB.86.035201

Decoherence of Near-Surface Nitrogen-Vacancy Centers Due to Electric Field Noise
journal, August 2015


Quenching Spin Decoherence in Diamond through Spin Bath Polarization
journal, July 2008


Extending the Quantum Coherence of a Near-Surface Qubit by Coherently Driving the Paramagnetic Surface Environment
journal, October 2019


Ab initio calculation of the spin lattice relaxation time T 1 for nitrogen-vacancy centers in diamond
journal, December 2018


An ab initio study of local vibration modes of the nitrogen-vacancy center in diamond
journal, February 2011


Electric-field sensing using single diamond spins
journal, April 2011

  • Dolde, F.; Fedder, H.; Doherty, M. W.
  • Nature Physics, Vol. 7, Issue 6
  • DOI: 10.1038/nphys1969

Fluorescence thermometry enhanced by the quantum coherence of single spins in diamond
journal, May 2013

  • Toyli, D. M.; de las Casas, C. F.; Christle, D. J.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 21
  • DOI: 10.1073/pnas.1306825110

Dynamical decoupling of a single-electron spin at room temperature
journal, February 2011


Quantum register based on coupled electron spins in a room-temperature solid
journal, February 2010

  • Neumann, P.; Kolesov, R.; Naydenov, B.
  • Nature Physics, Vol. 6, Issue 4
  • DOI: 10.1038/nphys1536

Magnetometry with nitrogen-vacancy defects in diamond
journal, May 2014


Fast Relaxation on Qutrit Transitions of Nitrogen-Vacancy Centers in Nanodiamonds
journal, March 2020


Room-temperature entanglement between single defect spins in diamond
journal, February 2013

  • Dolde, F.; Jakobi, I.; Naydenov, B.
  • Nature Physics, Vol. 9, Issue 3
  • DOI: 10.1038/nphys2545

High-sensitivity diamond magnetometer with nanoscale resolution
journal, September 2008

  • Taylor, J. M.; Cappellaro, P.; Childress, L.
  • Nature Physics, Vol. 4, Issue 10
  • DOI: 10.1038/nphys1075

Vibrational modes and lattice distortion of a nitrogen-vacancy center in diamond from first-principles calculations
journal, July 2011


Nanoscale magnetic sensing with an individual electronic spin in diamond
journal, October 2008

  • Maze, J. R.; Stanwix, P. L.; Hodges, J. S.
  • Nature, Vol. 455, Issue 7213
  • DOI: 10.1038/nature07279

Spin dynamics and electronic states of N- V centers in diamond by EPR and four-wave-mixing spectroscopy
journal, December 1991


Temperature- and Magnetic-Field-Dependent Longitudinal Spin Relaxation in Nitrogen-Vacancy Ensembles in Diamond
journal, May 2012


First-principles theory of the luminescence lineshape for the triplet transition in diamond NV centres
journal, July 2014


Spin-Lattice Relaxation in Cerium Magnesium Nitrate at Liquid Helium Temperature: A New Process
journal, February 1961


Spin-lattice relaxation in rare-earth salts
journal, December 1961

  • Orbach, R.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 264, Issue 1319, p. 458-484
  • DOI: 10.1098/rspa.1961.0211

Universal control and error correction in multi-qubit spin registers in diamond
journal, February 2014

  • Taminiau, T. H.; Cramer, J.; van der Sar, T.
  • Nature Nanotechnology, Vol. 9, Issue 3
  • DOI: 10.1038/nnano.2014.2

Theory of quadrupolar nuclear spin-lattice relaxation
journal, January 1954


Thermalization of strongly interacting bosons after spontaneous emissions in optical lattices
journal, January 2015

  • Schachenmayer, Johannes; Pollet, Lode; Troyer, Matthias
  • EPJ Quantum Technology, Vol. 2, Issue 1
  • DOI: 10.1140/epjqt15

Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
journal, July 2014

  • Ovartchaiyapong, Preeti; Lee, Kenneth W.; Myers, Bryan A.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5429

Nanometre-scale thermometry in a living cell
journal, July 2013


Paramagnetic Relaxation Times for Titanium and Chrome Alum
journal, March 1940


Spin-lattice relaxation of individual solid-state spins
journal, March 2018


A T 5 spin–lattice relaxation rate for non-Kramers ions
journal, June 1968

  • Walker, M. B.
  • Canadian Journal of Physics, Vol. 46, Issue 11
  • DOI: 10.1139/p68-455

Imaging the Local Charge Environment of Nitrogen-Vacancy Centers in Diamond
journal, December 2018


Double-Quantum Spin-Relaxation Limits to Coherence of Near-Surface Nitrogen-Vacancy Centers
journal, May 2017


Spin-strain interaction in nitrogen-vacancy centers in diamond
journal, August 2018


Solid-state electronic spin coherence time approaching one second
journal, April 2013

  • Bar-Gill, N.; Pham, L. M.; Jarmola, A.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2771

Multipulse Double-Quantum Magnetometry with Near-Surface Nitrogen-Vacancy Centers
journal, July 2014


Ultralong Dephasing Times in Solid-State Spin Ensembles via Quantum Control
journal, July 2018