In this paper, we investigate the geometric phase (GP) of two-mode entangled squeezed-coherent states (ESCSs), undergoing unitary cyclic evolution. Results show that increasing the squeezing parameter of either mode of the balanced ESCS compresses the GP elliptically with respect to the coherence parameter of the corresponding mode. While in the case of unbalanced ESCS, the GP is compressed hyperbolically by increasing the squeezing parameters of the either mode. By generalizing the approach to higher constituting-state dimensions, it is found that the GPs of both balanced and unbalanced ESCSs, increase for a specific value of the coherence parameter. By analyzing the states through the Schmidt decomposition method, we find that, locally, the balanced and unbalanced ESCSs are unitarily equivalent. Finally, based on the interferometry technique, we suggest a theoretical scheme for the physical generation of ESCSs.

在本文中，我们研究了经历酉循环演化的双模纠缠压缩相干态（ESCS）的几何相位（GP）。结果表明，增加平衡 ESCS 任一模式的压缩参数都会相对于相应模式的相干参数对 GP 进行椭圆压缩。而在不平衡 ESCS 的情况下，通过增加任一模式的压缩参数来双曲线压缩 GP。通过将该方法推广到更高的本构态维度，发现平衡和不平衡 ESCS 的 GP 对于相干参数的特定值都会增加。通过施密特分解方法分析状态，我们发现平衡和不平衡ESCS在局部是酉等价的。最后，基于干涉测量技术，我们提出了 ESCS 物理生成的理论方案。