The one-dimensional power spectrum from the SDSS DR14 Ly$\alpha$ forests

We present a measurement of the 1D Ly$\alpha$ forest flux power spectrum, using the complete Baryon Oscillation Spectroscopic Survey (BOSS) and first extended-BOSS (eBOSS) quasars at $z_{\rm qso}>2.1$, corresponding to the fourteenth data release (DR14) of the Sloan Digital Sky Survey (SDSS). Our results cover thirteen bins in redshift from $z_{\rm Ly\alpha}=2.2$ to 4.6, and scales up to $k=0.02\rm \,(km/s)^{-1}$. From a parent sample of 180,413 visually inspected spectra, we selected the 43,751 quasars with the best quality; this data set improves the previous result from the ninth data release (DR9), both in statistical precision (achieving a reduction by a factor of two) and in redshift coverage. We also present a thorough investigation of identified sources of systematic uncertainties that affect the measurement. The 1D power spectrum of this work is in excellent agreement with the one from BOSS DR9. Using a likelihood analysis with massless neutrinos, we obtain $\sigma_8=0.820\pm 0.021$ and $n_s=0.955\pm 0.005$ from BOSS+eBOSS Ly$\alpha$ data.