Theory of spectral diffusion decay using an uncorrelated-sudden-jump model

Pan, Heng; Hartmann, S. R.

doi:10.1103/physrevb.9.1

Cited by 167 publications

(68 citation statements)

References 12 publications

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“…[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.…”

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

confidence: 99%

“…The decoherence problem for a central spin coupled to a many-spin bath is typically beyond the reach of analytical treatment due to the complex intrabath dynamics. 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.…”

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

confidence: 99%

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

confidence: 99%

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

et al. 2012

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“…For weakly coupled TLS, the four-point correlation function can be rewritten as [ 8,141 C(r, Tw, r)=exp{-N<l-exp]i&z,…”

Section: Theorymentioning

confidence: 99%

The nature of glass dynamics: thermal reversibility of spectral diffusion in a low temperature glass

Bai¹,

Littau²,

Fayer³

1989

Chemical Physics Letters

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Temperature cycling optical hole-burning experiments on cresyl violet in ethanol glass are reported. At 1.3 K a hole is burned and measured. The temperature if then raised to 2.1 IQ the hole is measured. The temperature is returned to I, 3 K, and the hole is again measured. The hole is observed to be narrow at 1.3 K, broader at 2.1 K, and then narrow again when the temperature is returned to 1.3 IL. Using the time-dependent hole widths and photon echo data at the two temperatures, the results can be accounted for quantitatively using the tunneling two-level system model of glasses. Models of glasses, which involve processes such as spatial diffusion of defects, cannot account for the data.

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“…The averages for each TLS, j, are over the stochastic history path, H, the spatial distribution, r, and the microscopic parameters of a TLS, the splitting energy E, and the tunneling parameter A= 16,25,26] 7…”

Section: Where C( R T T) Ismentioning

confidence: 99%

Hole burning line shapes in a two-dimensional glass: A model for hole burning line shapes of molecules on surfaces

Pack

Fayer

1990

Chemical Physics Letters

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A method for calculating the low temperature, hole burning line shapes of molecules in a two-dimensional glass in presented. An extension of the standard dynamic model for three-dimensional glasses is employed. A calculation of the 2-D spatial average with the proper correlation function description predicts non-Lorentzian hole profiles (narrower near the peak, broader in the wings) due to the reduction in dimensionality. A steeper power law, Au=&, is predicted for two-dimensional linewidths, compared to standard three-dimensional results. These results afe in qualitative agreement with recent experiments of molecules on surfaces.

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Theory of spectral diffusion decay using an uncorrelated-sudden-jump model

Cited by 167 publications

References 12 publications

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

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

The nature of glass dynamics: thermal reversibility of spectral diffusion in a low temperature glass

Hole burning line shapes in a two-dimensional glass: A model for hole burning line shapes of molecules on surfaces

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