标题： 基于变形 su(1,1) 和海森堡代数的广义相干态的量子相位灵敏度 显示英文标题

标题： Quantum Phase Sensitivity with Generalized Coherent States Based on Deformed su(1,1) and Heisenberg Algebras

摘要： 我们研究使用从广义Heisenberg和变形su(1,1)代数构造的广义相干态类的Mach Zehnder干涉仪的相位灵敏度。这些状态来源于具有四个参数变形谱的扰动谐振子，提供了增强的可调性和非经典特性。量子费舍尔信息及其相关的量子Cramér-Rao界限用于定义相位估计中的基本精度极限。我们分析了三种现实检测方法下的相位灵敏度：差分强度检测、单模强度检测和平衡外差检测。每种方法的性能与量子Cramér Rao界限进行比较以评估其最优性。我们的结果表明，在合适的参数范围内，这些广义相干态能够实现接近量子极限的相位灵敏度，为精密量子计量提供了一个灵活的框架。 显示英文摘要

摘要： We investigate the phase sensitivity of a Mach Zehnder interferometer using a special class of generalized coherent states constructed from generalized Heisenberg and deformed su(1,1) algebras. These states, derived from a perturbed harmonic oscillator with a four parameter deformed spectrum, provide enhanced tunability and nonclassical features. The quantum Fisher information and its associated quantum Cram\'er-Rao bound are used to define the fundamental precision limits in phase estimation. We analyze the phase sensitivity under three realistic detection methods: difference intensity detection, single mode intensity detection, and balanced homodyne detection. The performance of each method is compared with the quantum Cram\'er Rao bound to evaluate their optimality. Our results demonstrate that, for suitable parameter regimes, these generalized coherent states enable phase sensitivities approaching the quantum limit, offering a flexible framework for precision quantum metrology.