Sagnac interferometry and temporal cloaking via conductivity-dependent cross-Kerr nonlinearity

We theoretically investigate temporal cloaking (TC) in a Sagnac interferometer using conductivity-dependent cross-Kerr nonlinearity (CKN). By altering the phase and strength of conductivity, we observe changes in the effectiveness of TC, variations in relativistic group velocities (RGV), and shifts in the group index. The group index attains values up to [Formula: see text] depending on the phase angles [Formula: see text]. Similarly, the window of temporal gaps increases as a function of [Formula: see text] and the phase of conductivity, with higher conductivity strengths. The maximum temporal gap is [Formula: see text][Formula: see text]s. These results will contribute to advancement in secure quantum communication and precision rotation sensing technologies.