Fig. 3: Data acquired over a period of 912 h with an up-time of 591 h. | Nature Communications

Fig. 3: Data acquired over a period of 912 h with an up-time of 591 h.

From: Improved bounds on Lorentz violation from composite pulse Ramsey spectroscopy in a trapped ion

Fig. 3

a The measured value of κLV (blue data points) extracted from the retrieved population Pf. Data points are binned at 15 min intervals. The error bars reflect the standard error (1σ) from quantum projection noise. The data is fitted to Eq. (5) (red line) from which bounds are set on components of the cMN tensor. b The residuals of the fit with a reduced χ2 = 0.92. c A Lomb–Scargle periodogram for spectral analysis of irregularly spaced data. The normalized power spectral density is plotted for frequencies between 0 and 100 μHz. The vertical lines indicate the sidereal day frequency, ω, (red) and its second harmonic, 2ω, (blue). The dashed lines indicate the statistical significance level, i.e. p-value, of the peaks36. d The Allan deviation, σκ, of the data points shown in a as a function of averaging time, τ. The error bars correspond to the standard error of the stability. From a fit (gray line) to the data, the stability is extracted to be σκ = 372(9) mrad s−1τ−1/2. The expected stability from quantum projection noise (dashed-dotted green line) is 29(3)% lower.

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