Geometric phase for mixed squeezed-coherent states

TL;DR

This paper studies how the geometric phase of two-mode mixed squeezed-coherent states varies with squeezing parameters during cyclic evolution, revealing geometric patterns that could improve quantum measurement precision.

Contribution

It introduces an analysis of the geometric phase behavior in mixed squeezed-coherent states, highlighting how squeezing parameters influence phase contours in different configurations.

Findings

GP contours compress with increased squeezing, following linear, hyperbolic, or elliptical patterns.

Squeezing enhances measurement precision by adjusting quantum uncertainties.

Behavior depends on the specific mixed-state configuration.

Abstract

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.