Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-18
Phys. Rev. Lett. 108, 086802 (2012)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
related articles at http://marcuslab.harvard.edu
Scientific paper
10.1103/PhysRevLett.108.086802
We investigate scaling of coherence time, T2, with the number of {\pi}-pulses, n_{\pi}, in a singlet- triplet spin qubit using Carr-Purcell-Meiboom-Gill (CPMG) and concatenated dynamical decoupling (CDD) pulse sequences. For an even numbers of CPMG pulses, we find a power law, T2 = (n_{\pi})^({\gamma}_e), with {\gamma}_e = 0.72\pm0.01, essentially independent of the envelope function used to extract T2. From this surprisingly robust value, a power-law model of the noise spectrum of the environment, S({\omega}) ~ {\omega}^(-{\beta}), yields {\beta} = {\gamma}_e/(1 - {\gamma}_e) = 2.6 \pm 0.1. Model values for T2(n_{\pi}) using {\beta} = 2.6 for CPMG with both even and odd n_{\pi} up to 32 and CDD orders 3 through 6 compare very well with experiment.
Barthel C.
Cywinski Lukasz
Gossard Arthur. C.
Hanson Malcolm P.
Marcus Charles M.
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