Symbol pi

The passage around this formula

The Galilei loop admits an exact, non-simulated numerical check of the whole chain, because $\Phi$[$\mathcal L_{\rm G}$] is precisely the recoil phase every stimulated-Raman atom interferometer already uses for its own calibration. Take a sodium atom, m=3.8175$\times$10^{-26}\,$\mathrm{kg}$ , driven by a two-photon stimulated-Raman transition on the 589\,$\mathrm{nm}$ line, effective wavevector $k_{\rm eff}$=2(2$\pi$/589\,$\mathrm{nm}$)=2.1335$\times$10^{7}\,$\mathrm{m^{-1}}$ [ 16 ] . The associated recoil velocity is $v_r$=$\hbar$ $k_{\rm eff}$/m=5.894\,$\mathrm{cm\,s^{-1}}$ . Hold the loop open for T=50\,$\mathrm{ms}$ , comparable to the short interrogation times of early stimulated-Raman interferometers, so the…

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