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Title: Optimizing a dynamical decoupling protocol for solid-state electronic spin ensembles in diamond

Abstract

In this study, we demonstrate significant improvements of the spin coherence time of a dense ensemble of nitrogen-vacancy (NV) centers in diamond through optimized dynamical decoupling (DD). Cooling the sample down to 77 K suppresses longitudinal spin relaxation T1 effects and DD microwave pulses are used to increase the transverse coherence time T2 from ~0.7ms up to ~30ms. Furthermore, we extend previous work of single-axis (Carr-Purcell-Meiboom-Gill) DD towards the preservation of arbitrary spin states. Following a theoretical and experimental characterization of pulse and detuning errors, we compare the performance of various DD protocols. We also identify that the optimal control scheme for preserving an arbitrary spin state is a recursive protocol, the concatenated version of the XY8 pulse sequence. The improved spin coherence might have an immediate impact on improvements of the sensitivities of ac magnetometry. Moreover, the protocol can be used on denser diamond samples to increase coherence times up to NV-NV interaction time scales, a major step towards the creation of quantum collective NV spin states.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [1]
  1. Hebrew Univ. of Jerusalem (Israel)
  2. Univ. of California, Berkeley, CA (United States)
  3. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States)
  4. Univ. of Southern California, Los Angeles, CA (United States)
  5. Ames Lab., Ames, IA (United States)
  6. Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)
  7. Univ. of California, Berkeley, CA (United States); Johannes Gutenburg-Univ., Mainz (Germany)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1227415
Alternate Identifier(s):
OSTI ID: 1212496
Report Number(s):
IS-J-8822
Journal ID: ISSN 1098-0121; PRBMDO
Grant/Contract Number:  
750/14; ECCS-1202258; AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Farfurnik, D., Jarmola, A., Pham, L. M., Wang, Z. H., Dobrovitski, V. V., Walsworth, R. L., Budker, D., and Bar-Gill, N. Optimizing a dynamical decoupling protocol for solid-state electronic spin ensembles in diamond. United States: N. p., 2015. Web. doi:10.1103/PhysRevB.92.060301.
Farfurnik, D., Jarmola, A., Pham, L. M., Wang, Z. H., Dobrovitski, V. V., Walsworth, R. L., Budker, D., & Bar-Gill, N. Optimizing a dynamical decoupling protocol for solid-state electronic spin ensembles in diamond. United States. https://doi.org/10.1103/PhysRevB.92.060301
Farfurnik, D., Jarmola, A., Pham, L. M., Wang, Z. H., Dobrovitski, V. V., Walsworth, R. L., Budker, D., and Bar-Gill, N. Mon . "Optimizing a dynamical decoupling protocol for solid-state electronic spin ensembles in diamond". United States. https://doi.org/10.1103/PhysRevB.92.060301. https://www.osti.gov/servlets/purl/1227415.
@article{osti_1227415,
title = {Optimizing a dynamical decoupling protocol for solid-state electronic spin ensembles in diamond},
author = {Farfurnik, D. and Jarmola, A. and Pham, L. M. and Wang, Z. H. and Dobrovitski, V. V. and Walsworth, R. L. and Budker, D. and Bar-Gill, N.},
abstractNote = {In this study, we demonstrate significant improvements of the spin coherence time of a dense ensemble of nitrogen-vacancy (NV) centers in diamond through optimized dynamical decoupling (DD). Cooling the sample down to 77 K suppresses longitudinal spin relaxation T1 effects and DD microwave pulses are used to increase the transverse coherence time T2 from ~0.7ms up to ~30ms. Furthermore, we extend previous work of single-axis (Carr-Purcell-Meiboom-Gill) DD towards the preservation of arbitrary spin states. Following a theoretical and experimental characterization of pulse and detuning errors, we compare the performance of various DD protocols. We also identify that the optimal control scheme for preserving an arbitrary spin state is a recursive protocol, the concatenated version of the XY8 pulse sequence. The improved spin coherence might have an immediate impact on improvements of the sensitivities of ac magnetometry. Moreover, the protocol can be used on denser diamond samples to increase coherence times up to NV-NV interaction time scales, a major step towards the creation of quantum collective NV spin states.},
doi = {10.1103/PhysRevB.92.060301},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 6,
volume = 92,
place = {United States},
year = {Mon Aug 24 00:00:00 EDT 2015},
month = {Mon Aug 24 00:00:00 EDT 2015}
}

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Cited by: 69 works
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Works referenced in this record:

Quantum memory based on ensemble states of NV centers in diamond
journal, May 2013


Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems
journal, January 2012

  • Bar-Gill, N.; Pham, L. M.; Belthangady, C.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1856

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

Concatenated dynamical decoupling in a solid-state spin bath
journal, December 2007


Robust dynamical decoupling with concatenated continuous driving
journal, November 2012


Symmetrized pulse sequences in high resolution NMR in solids
journal, August 1971


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

Magnetic field imaging with nitrogen-vacancy ensembles
journal, April 2011


Universal Dynamical Decoupling of a Single Solid-State Spin from a Spin Bath
journal, September 2010


Modified Spin‐Echo Method for Measuring Nuclear Relaxation Times
journal, August 1958

  • Meiboom, S.; Gill, D.
  • Review of Scientific Instruments, Vol. 29, Issue 8
  • DOI: 10.1063/1.1716296

Ultralong spin coherence time in isotopically engineered diamond
journal, April 2009

  • Balasubramanian, Gopalakrishnan; Neumann, Philipp; Twitchen, Daniel
  • Nature Materials, Vol. 8, Issue 5
  • DOI: 10.1038/nmat2420

Heralded entanglement between solid-state qubits separated by three metres
journal, April 2013


Single defect centres in diamond: A review
journal, October 2006


Robust dynamical decoupling for arbitrary quantum states of a single NV center in diamond
journal, August 2012


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

Quantum control of proximal spins using nanoscale magnetic resonance imaging
journal, May 2011

  • Grinolds, M. S.; Maletinsky, P.; Hong, S.
  • Nature Physics, Vol. 7, Issue 9
  • DOI: 10.1038/nphys1999

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

Nanoscale imaging magnetometry with diamond spins under ambient conditions
journal, October 2008

  • Balasubramanian, Gopalakrishnan; Chan, I. Y.; Kolesov, Roman
  • Nature, Vol. 455, Issue 7213
  • DOI: 10.1038/nature07278

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

New, compensated Carr-Purcell sequences
journal, October 1990

  • Gullion, Terry; Baker, David B.; Conradi, Mark S.
  • Journal of Magnetic Resonance (1969), Vol. 89, Issue 3
  • DOI: 10.1016/0022-2364(90)90331-3

Broadband magnetometry by infrared-absorption detection of nitrogen-vacancy ensembles in diamond
journal, October 2010

  • Acosta, V. M.; Bauch, E.; Jarmola, A.
  • Applied Physics Letters, Vol. 97, Issue 17
  • DOI: 10.1063/1.3507884

Enhanced resolution for solid state NMR
journal, February 1973

  • Rhim, W‐K.; Elleman, D. D.; Vaughan, R. W.
  • The Journal of Chemical Physics, Vol. 58, Issue 4
  • DOI: 10.1063/1.1679423

Enhanced solid-state multispin metrology using dynamical decoupling
journal, July 2012


Diamonds with a high density of nitrogen-vacancy centers for magnetometry applications
journal, September 2009


Single-Spin Magnetometry with Multipulse Sensing Sequences
journal, February 2011


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


Robust Decoupling Techniques to Extend Quantum Coherence in Diamond
journal, November 2010


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


Continuous dynamical decoupling magnetometry
journal, December 2012


Quantum correlation in disordered spin systems: Applications to magnetic sensing
journal, September 2009


Phonon-Induced Spin-Spin Interactions in Diamond Nanostructures: Application to Spin Squeezing
journal, April 2013


Collectively Enhanced Interactions in Solid-State Spin Qubits
journal, February 2013


Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
journal, February 2012


Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond
journal, April 2012


Robust Dynamical Decoupling for Quantum Computing and Quantum Memory
journal, June 2011


Fault-Tolerant Quantum Dynamical Decoupling
journal, October 2005


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


Optical polarization of nuclear ensembles in diamond
journal, March 2013


Fault-tolerant quantum dynamical decoupling
conference, January 2005


Concatenated dynamical decoupling in a solid-state spin bath
text, January 2007


High-sensitivity diamond magnetometer with nanoscale resolution
text, January 2008


Universal dynamical decoupling of a single solid-state spin from a spin bath
text, January 2010


Single-spin magnetometry with multi-pulse sensing sequences
text, January 2010


Robust dynamical decoupling for quantum computing and quantum memory
text, January 2011


Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond
text, January 2012


Optical polarization of nuclear ensembles in diamond
text, January 2012


Continuous dynamical decoupling magnetometry
text, January 2012


Solid-state electronic spin coherence time approaching one second
text, January 2012


Fluorescence thermometry enhanced by the quantum coherence of single spins in diamond
text, January 2013


Fault-Tolerant Quantum Dynamical Decoupling
text, January 2004


Works referencing / citing this record:

Quantum sensing of weak radio-frequency signals by pulsed Mollow absorption spectroscopy
journal, October 2017


Measurement-device-independent quantum key distribution with nitrogen vacancy centers in diamond
journal, February 2017


A hybrid-systems approach to spin squeezing using a highly dissipative ancillary system
journal, May 2016


Quantum Bath Control with Nuclear Spin State Selectivity via Pulse-Adjusted Dynamical Decoupling
journal, November 2019


Vector magnetometer based on synchronous manipulation of nitrogen-vacancy centers in all crystal directions
journal, March 2018

  • Zhang, Chen; Yuan, Heng; Zhang, Ning
  • Journal of Physics D: Applied Physics, Vol. 51, Issue 15
  • DOI: 10.1088/1361-6463/aab2d0

Dynamical Decoupling of a Geometric Qubit
journal, November 2019


Experimental realization of time-dependent phase-modulated continuous dynamical decoupling
journal, July 2017


Quantitative nanoscale MRI with a wide field of view
journal, August 2019


Spin properties of NV centers in high-pressure, high-temperature grown diamond
journal, November 2018

  • Rubinas, О R.; Vorobyov, V. V.; Soshenko, V. V.
  • Journal of Physics Communications, Vol. 2, Issue 11
  • DOI: 10.1088/2399-6528/aae992

Nonvanishing effect of detuning errors in dynamical-decoupling-based quantum sensing experiments
journal, January 2019


Delayed entanglement echo for individual control of a large number of nuclear spins
journal, March 2017

  • Wang, Zhen-Yu; Casanova, Jorge; Plenio, Martin B.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14660

Clock transition by continuous dynamical decoupling of a three-level system
journal, October 2018


Narrow-bandwidth sensing of high-frequency fields with continuous dynamical decoupling
journal, October 2017


Fully robust qubit in atomic and molecular three-level systems
journal, December 2016


Quantum Interface between a Superconducting Qubit and Spin Ensembles
journal, May 2019

  • Zhang, Feng‐Yang; Li, Wen‐Lin; Yan, Wei‐Bin
  • Annalen der Physik, Vol. 531, Issue 8
  • DOI: 10.1002/andp.201900036

Negative charge enhancement of near-surface nitrogen vacancy centers by multicolor excitation
journal, December 2018


Extension of the Coherence Time by Generating MW Dressed States in a Single NV Centre in Diamond
journal, September 2019


Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics
journal, May 2016


Enhanced concentrations of nitrogen-vacancy centers in diamond through TEM irradiation
journal, September 2017

  • Farfurnik, D.; Alfasi, N.; Masis, S.
  • Applied Physics Letters, Vol. 111, Issue 12
  • DOI: 10.1063/1.4993257

Solution nuclear magnetic resonance spectroscopy on a nanostructured diamond chip
journal, August 2017


Spin ensemble-based AC magnetometry using concatenated dynamical decoupling at low temperatures
journal, January 2018


Bridging between laboratory and rotating-frame master equations for open quantum systems
journal, November 2019


Measuring Environmental Quantum Noise Exhibiting a Nonmonotonic Spectral Shape
journal, January 2019


Quantum Interface between a Superconducting Qubit and Spin Ensembles
journal, September 2020


Robust Dynamical Decoupling Sequences for Individual Nuclear Spin Addressing
text, January 2015


A hybrid-systems approach to spin squeezing using a highly dissipative ancillary system
text, January 2015


Fully robust qubit in atomic and molecular three-level systems
text, January 2016


Solution nuclear magnetic resonance spectroscopy on a nanostructured diamond chip
text, January 2017


Miniature cavity-enhanced diamond magnetometer
text, January 2017


Narrow-bandwidth sensing of high-frequency fields with continuous dynamical decoupling
text, January 2017


Extension of the Coherence Time by Generating MW Dressed States in a Single NV Centre in Diamond
preprint, January 2017


Spin properties of NV centers in high-pressure, high-temperature grown diamond
text, January 2018


Quantitative nanoscale MRI with a wide field of view
preprint, January 2018