Geometric phase for mixed squeezed-coherent states

In this paper, we investigate the geometric phase (GP) acquired by two-mode mixed squeezed-coherent states (SCSs) during unitary cyclic evolution, focusing on the influence of squeezing parameters and classical weight. We analyze the GP for three distinct mixed states characterized by different configurations of the SCSs. Our results reveal that increasing the squeezing parameters of individual modes compresses the GP contours in different patterns: linearly, hyperbolically, and elliptically, depending on the mixed-state configuration. This behavior highlights the precision enhancement in squeezed states through uncertainty adjustment, aligning with theoretical predictions.