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<p>This paper investigates the role of Gazeau-Klauder (GK) coherent states in quantum metrology, focusing on their application in enhancing measurement precision. We construct GK coherent states for exactly solvable systems, specifically the Pöschl-Teller potential and the Morse oscillator, and analyze their utility for displacement parameter estimation using quantum Fisher information as a metric. By comparing these states with standard coherent states of harmonic oscillator, we examine how their nonclassical properties influence the precision limits of quantum metrology. Furthermore, we explore the distinct effects of wave packet revivals and fractional revivals on the Fisher information, demonstrating that these dynamical phenomena can periodically generate significant gains in measurement sensitivity. Our analysis contributes to understanding how the inherent nonclassicality of generalized coherent states, tailored by the system’s potential, can be used to surpass classical limits, with potential applications in advanced measurement technologies.</p>

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Fisher Information as a Probe of Nonclassicality and Fractional Revivals in Gazeau-Klauder Coherent States

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Tooba Bibi,
  • Shahid Iqbal

摘要

This paper investigates the role of Gazeau-Klauder (GK) coherent states in quantum metrology, focusing on their application in enhancing measurement precision. We construct GK coherent states for exactly solvable systems, specifically the Pöschl-Teller potential and the Morse oscillator, and analyze their utility for displacement parameter estimation using quantum Fisher information as a metric. By comparing these states with standard coherent states of harmonic oscillator, we examine how their nonclassical properties influence the precision limits of quantum metrology. Furthermore, we explore the distinct effects of wave packet revivals and fractional revivals on the Fisher information, demonstrating that these dynamical phenomena can periodically generate significant gains in measurement sensitivity. Our analysis contributes to understanding how the inherent nonclassicality of generalized coherent states, tailored by the system’s potential, can be used to surpass classical limits, with potential applications in advanced measurement technologies.