Properties of near superposition of two squeezed vacuum states

Abstract

The near superposition of squeezed vacuum states (NSVS) is investigated in this article. The state appears to be a superposition of a squeezed vacuum state (SVS) and a derivative-squeezed vacuum state. We have shown that NSVS is significantly different from any regular superposition of two SVSs. NSVS, like SVS, displays only even photons, but with different distributions. In some cases, NSVS has no vacuum state. NSVS displays sub-Poissonian statistics for small values of the squeezing parameter. NSVS reveals linear and amplitude-squared squeezing, with amplitude-squared squeezing surpassing SVS in most cases. The minimum uncertainty is explored, and a possible method for generating NSVS is explained. We have discovered that NSVS exhibits a similar behavior for all phase differences except when it equals precisely zero. This phenomenon has been identified and could potentially enable more sensitive measurements.