For spin coherent and one-axis-squeezed states, the Uhlmann phase and interferometric geometric phase show finite-temperature jumps; for a two-axis-squeezed state, the paper claims smooth variation.
Geometric phase for mixed squeezed-coherent states
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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.
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Mixed-state geometric phases of coherent and squeezed spin states
For spin coherent and one-axis-squeezed states, the Uhlmann phase and interferometric geometric phase show finite-temperature jumps; for a two-axis-squeezed state, the paper claims smooth variation.