Decoherence dynamics of a single spin versus spin ensemble

Dobrovitski, V. V.; Feiguin, A. E.; Awschalom, D. D.; Hanson, Ronald K.

doi:10.1103/physrevb.77.245212

Cited by 70 publications

(89 citation statements)

References 30 publications

(31 reference statements)

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“…We then measured the Apollo sample, a chemical vapour deposition diamond sample with a thin N-doped layer with natural 13 C concentration (1.1%), high N concentration (~100 p.p.m. ), and large NV density (~10 16 (cm − 3 )), which we also studied using the NV wide-field microscope. The last sample, referred to as the high-pressure high-temperature (HPHT) sample, is a type 1b HPHT diamond sample (Element 6) with natural 13 C concentration, high N concentration (~50 p.p.m.)…”

Section: Spectral Decomposition Techniquementioning

confidence: 99%

Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems

et al. 2012

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multi-qubit systems are crucial for the advancement and application of quantum science. such systems require maintaining long coherence times while increasing the number of qubits available for coherent manipulation. For solid-state spin systems, qubit coherence is closely related to fundamental questions of many-body spin dynamics. Here we apply a coherent spectroscopic technique to characterize the dynamics of the composite solid-state spin environment of nitrogen-vacancy colour centres in room temperature diamond. We identify a possible new mechanism in diamond for suppression of electronic spin-bath dynamics in the presence of a nuclear spin bath of sufficient concentration. This suppression enhances the efficacy of dynamical decoupling techniques, resulting in increased coherence times for multispin-qubit systems, thus paving the way for applications in quantum information, sensing and metrology.

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Section: Spectral Decomposition Techniquementioning

confidence: 99%

Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems

et al. 2012

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“…99. The EPR measurements, performed on a macroscopic ensemble of NV centers, cannot be used to extract the value of b for a single NV center: 88 Even in a macroscopically homogeneous sample, the distribution of b for different NV centers is very broad (has a heavy power-law tail), and the width of the EPR line can serve only as a crude order-ofmagnitude estimate for some "typical" (in a loose sense) NV center. With this precaution, we note that the value of b given above is compatible with the nominal concentration of P1 centers (200 ppm), which is directly related to their EPR linewidth.…”

Section: A Analytical Expression For Decoherencementioning

confidence: 99%

“…[81][82][83] It has been numerically and experimentally justified for the system under consideration. 25,49,85,88 We stress that the validity of such approximation is built upon the assumption of small backaction from the central spin and the lack of coherence between the dynamics of different bath spins. If the couplings between the bath spins are much smaller than the coupling between a single bath spin and the central spin, then the bath dynamics is conditioned on the state of the central spin, and the resulting correlations in the bath play a major role.…”

Section: Description Of the System: An Nv Center In Diamondmentioning

confidence: 99%

“…Many methods have been developed in the field of magnetic resonance, [81][82][83][84] and recently in the field of quantum information processing. 4,25,59,60,[85][86][87][88][89][90][91][92][93][94][95] In this work, we treat the spin bath of P1 centers in a mean-field manner, approximating it as a classical noise field acting on the NV center spin. This treatment is justified because the coupling between the bath spins is of long-range character, and its magnitude is of the same order as the coupling of a bath spin to the central spin.…”

Section: Description Of the System: An Nv Center In Diamondmentioning

confidence: 99%

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Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond

et al. 2012

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We perform a detailed theoretical-experimental study of the dynamical decoupling (DD) of the nitrogenvacancy (NV) center in diamond. We investigate the DD sequences applied to suppress the dephasing of the electron spin of the NV center induced by the coupling to a spin bath composed of the substitutional nitrogen atoms. The decoupling efficiency of various DD schemes is studied, including both periodic and aperiodic pulse sequences. For ideal control pulses, we find that the DD protocols with the Carr-Purcell-Meiboom-Gill (CPMG) timing of the pulses provides best performance. We show that, as the number of control pulses increases, the decoupling fidelity scaling differs qualitatively from the predictions of the Magnus expansion, and explain the origin of this difference. In particular, more advanced symmetrized or concatenated protocols do not improve the DD performance. Next, we investigate the impact of the systematic instrumental pulse errors in different periodic and aperiodic pulse sequences. The DD protocols with the single-axis control do not preserve all spin components in the presence of the pulse errors, and the two-axis control is needed. We demonstrate that the two-axis control sequence with the CPMG timing is very robust with respect to the pulse errors. The impact of the pulse errors can be diminished further by symmetrizing this protocol. For all protocols studied here, we present a detailed account of the pulse error parameters which make the strongest impact on the DD performance.In conclusion, we give specific recommendations about choosing the decoupling protocol for the system under investigation.

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“…Such a description agrees very well with both direct numerical simulations and with experimental results. 11,39,47,62,74 Note that the random-field approximation is justified when the gyromagnetic ratios of the spins are not drastically different, e.g. for the nuclear spin decohered by the bath of nuclear spins, or electronic spin decohered by the bath of electronic spins.…”

Section: Nv Center Coupled To the Dilute Spin Bathmentioning

confidence: 99%

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

Mkhitaryan

Dobrovitski

2014

Phys. Rev. B

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We study dynamics of the electron spin of a nitrogen-vacancy (NV) center subjected to a strong driving field with periodically reversed direction (train of rotary echoes). We use analytical and numerical tools to analyze in detail the form and timescales of decay of the rotary echo train, modeling the decohering spin environment as a random magnetic field. We demonstrate that the problem can be exactly mapped onto a model of spin 1 coupled to a single bosonic mode with imaginary frequency. This mapping allows comprehensive analytical investigation beyond the standard BlochRedfield-type approaches. We explore the decay of the rotary echo train under assumption of strong driving, and identify the most important regimes of the decay. The analytical results are compared with the direct numerical simulations to confirm quantitative accuracy of our study. We present the results for realistic environment of substitutional nitrogen atoms (P1 centers), and provide a simplified but accurate description for decay of the rotary echo train of the NV center's spin. The approach presented here can also be used to study decoherence and longitudinal relaxation of other spin systems under conditions of strong driving.

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Decoherence dynamics of a single spin versus spin ensemble

Cited by 70 publications

References 30 publications

Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems

Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems

Comparison of dynamical decoupling protocols for a nitrogen-vacancy center in diamond

Decay of the rotary echoes for the spin of a nitrogen-vacancy center in diamond

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