We were alerted to some errors due to 50Ω impedance setting of the arbitrary waveform generator (AWG). Because the electro-optical modulator (EOM) works in capacitor mode at low frequency, the impedance should be large and the corresponding impedance needs to be set to High-Z. The results have been remeasured and corrected as in Table 1.

Table 1. Modulation Efficiency and Simulated Arm Loss with the different Top Gaps

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In abstract of [1], “[a]n exceptional voltage-length product of 0.64 V·cm” has been corrected to 1.32 V·cm. In the second paragraph of [1], “a voltage length product as low as 0.64 V·cm” has been corrected to 1.32 V·cm. Table 1 in [1] has been replaced by Table 1. In the seventh paragraph of [1], “[t]he $\pi$-shift voltage is measured to reduce from 3.5 V to 1.6 V” has been corrected to 6.96 V to 3.3 V. “A high modulation efficiency is attained with a low 0.64 V·cm voltage-length product with 1.2 µm gap” has been corrected to 1.32 V·cm. Figure 4(a) as well as the caption [1] have been replaced by Fig. 1. In the eighth of paragraph of [1], “${V_\pi}$ is determined by observing the full sinusoidal waveform response on the oscilloscope, in this case to be around 1.15 volts.” has been corrected to 2.12 volts. In the final paragraph of [1], “we realized highly efficient electro-optical modulators with exceptional voltage-length product of 0.64 V·cm” has been corrected to 1.32 V·cm.

 

Fig. 1. (a) AC characterization of ${V_\pi}$. The ramp wave at a repetition rate of 10 kHz is applied, which is shown as a blue dashed line. By fine tuning the amplitude of input signal, the optical response become sinusoidal shown as blue solid line, marking the ${V_\pi}$ of 2.12 V.

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Despite the corrections, we believe the Letter still stands strong and represents a significant advance [2,3].