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The work propose a scheme of deep laser cooling of $^{171}$Yb$^{+}$. Thecooling is based on the effect of electromagnetically induced transparency(EIT) in a polychromatic field with three frequency components are resonant tooptical transitions of the $^2S_{1/2} \to \, ^2P_{1/2}$ line. The deep coolingdown to the ground motional state in a trap allows for a significantsuppression of the second order Doppler shift in frequency standards. Moreover,there is no need to use a magnetic field, which is required for Doppler coolingof $^{171}$Yb$^{+}$ in a field with two-frequency component. The coolingwithout use of magnetic field is important for deep suppression of quadraticZeeman shifts of clock transitions from uncontrolled residual magnetic fields.

Ground state EIT cooling of $^{171}$Yb$^+$ ion