Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks

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Autori principali: Kielinski, Timm, Hammerer, Klemens
Natura: Preprint
Pubblicazione: 2025
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author Kielinski, Timm
Hammerer, Klemens
author_facet Kielinski, Timm
Hammerer, Klemens
contents Frequency metrology is a cornerstone of modern precision measurements and optical atomic clocks have emerged as the most precise measurement devices. In this progress report, we explore various Ramsey interrogation schemes tailored to optical atomic clocks primarily limited by laser noise. To incorporate frequency fluctuations directly into the theoretical model, we consider a Bayesian framework. In this context, we review fundamental bounds arising in Bayesian estimation theory, which serve as a benchmark throughout this work. We investigate the trade-off between entanglement-enhanced sensitivity and robustness against laser noise in order to identify optimal initial states, measurement schemes and estimation strategies. Beside standard protocols based on coherent spin states, squeezed spin states and GHZ states, we consider variational Ramsey protocols implemented via low-depth quantum circuits based on one-axis twisting operations to approach optimal stability. In particular, we review known and identify new optimal interrogation schemes for a variety of scenarios, including different experimental platforms, ensemble sizes and regimes characterized by a wide range of interrogation durations and dead times. Hence, this work establishes a comprehensive theoretical framework for optimizing Ramsey interrogation schemes, providing guidance for the development of next-generation optical atomic clocks.
format Preprint
id arxiv_https___arxiv_org_abs_2505_04287
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
Kielinski, Timm
Hammerer, Klemens
Quantum Physics
Atomic Physics
Frequency metrology is a cornerstone of modern precision measurements and optical atomic clocks have emerged as the most precise measurement devices. In this progress report, we explore various Ramsey interrogation schemes tailored to optical atomic clocks primarily limited by laser noise. To incorporate frequency fluctuations directly into the theoretical model, we consider a Bayesian framework. In this context, we review fundamental bounds arising in Bayesian estimation theory, which serve as a benchmark throughout this work. We investigate the trade-off between entanglement-enhanced sensitivity and robustness against laser noise in order to identify optimal initial states, measurement schemes and estimation strategies. Beside standard protocols based on coherent spin states, squeezed spin states and GHZ states, we consider variational Ramsey protocols implemented via low-depth quantum circuits based on one-axis twisting operations to approach optimal stability. In particular, we review known and identify new optimal interrogation schemes for a variety of scenarios, including different experimental platforms, ensemble sizes and regimes characterized by a wide range of interrogation durations and dead times. Hence, this work establishes a comprehensive theoretical framework for optimizing Ramsey interrogation schemes, providing guidance for the development of next-generation optical atomic clocks.
title Bayesian Frequency Metrology with Optimal Ramsey Interferometry in Optical Atomic Clocks
topic Quantum Physics
Atomic Physics
url https://arxiv.org/abs/2505.04287