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The Shannon entropy has been used to study the localization/delocalization of a distribution for different systems. Greater increased localization was associated with the smaller values and increased delocalization with the larger values of the Shannon entropy. In this paper, we show that for the double-slit experiment in the position and momentum spaces, smaller values of the Shannon entropy are associated with larger number of interference fringes and larger values of the Shannon entropy with smaller number of interference fringes.

An optically tunable terahertz (THz)-band shift in interference fringes based on an indium oxide structure was investigated. An interference phenomenon formed by the combination of partial-through measurements with a shift in the periodic peaks in a THz time-domain spectroscopy system was reported. When the THz beam passes through the edge of the material sample, equally spaced interference fringes are obtained in the frequency domain and these interference fringes can be varied using a 450 nm external continuous-wave laser. The peak of the THz interference fringe shifts by almost half a period. This work offers the ability to observe THz-band interference fringes in the frequency domain and shows that these interference fringes change with variations in the intensity of the applied excitation light.