Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography

When a laser-cooled atomic sample is optically excited, the envelope of coherent forward scattering can often be decomposed into a few complex Gaussian profiles. The convenience of Gaussian propagation helps address key challenges in digital holography. In this paper, we develop a Gaussian-decomposi...

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Main Authors: Xing Huang, Yuzhuo Wang, Jian Zhao, Saijun Wu
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013054
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author Xing Huang
Yuzhuo Wang
Jian Zhao
Saijun Wu
author_facet Xing Huang
Yuzhuo Wang
Jian Zhao
Saijun Wu
author_sort Xing Huang
collection DOAJ
description When a laser-cooled atomic sample is optically excited, the envelope of coherent forward scattering can often be decomposed into a few complex Gaussian profiles. The convenience of Gaussian propagation helps address key challenges in digital holography. In this paper, we develop a Gaussian-decomposition-assisted approach to inline holography for single-shot, simultaneous measurements of absorption and phase-shift profiles of small atomic samples sparsely distributed in three dimensions. The samples' axial positions are resolved with micrometer resolution and their spectroscopy are extracted from complex-valued images recorded at various probe frequencies. The phase-angle readout is not only robust against transition saturation but also insensitive to atom-number and optical-pumping-induced interaction-strength fluctuations. Benefiting from such features, we achieve hundred-kHz-level single-shot resolution to the transition frequency of a ^{87}Rb D_{2} line, with merely hundreds of atoms. We further demonstrate single-shot three-dimensional field sensing by measuring local light shifts to the atomic array with micrometer spatial resolution.
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publishDate 2025-01-01
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series Physical Review Research
spelling doaj-art-e488ef5b5e6b40d6ae6d4604211f85242025-02-05T16:05:36ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101305410.1103/PhysRevResearch.7.013054Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holographyXing HuangYuzhuo WangJian ZhaoSaijun WuWhen a laser-cooled atomic sample is optically excited, the envelope of coherent forward scattering can often be decomposed into a few complex Gaussian profiles. The convenience of Gaussian propagation helps address key challenges in digital holography. In this paper, we develop a Gaussian-decomposition-assisted approach to inline holography for single-shot, simultaneous measurements of absorption and phase-shift profiles of small atomic samples sparsely distributed in three dimensions. The samples' axial positions are resolved with micrometer resolution and their spectroscopy are extracted from complex-valued images recorded at various probe frequencies. The phase-angle readout is not only robust against transition saturation but also insensitive to atom-number and optical-pumping-induced interaction-strength fluctuations. Benefiting from such features, we achieve hundred-kHz-level single-shot resolution to the transition frequency of a ^{87}Rb D_{2} line, with merely hundreds of atoms. We further demonstrate single-shot three-dimensional field sensing by measuring local light shifts to the atomic array with micrometer spatial resolution.http://doi.org/10.1103/PhysRevResearch.7.013054
spellingShingle Xing Huang
Yuzhuo Wang
Jian Zhao
Saijun Wu
Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
Physical Review Research
title Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
title_full Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
title_fullStr Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
title_full_unstemmed Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
title_short Complex-valued three-dimensional atomic spectroscopy with Gaussian-assisted inline holography
title_sort complex valued three dimensional atomic spectroscopy with gaussian assisted inline holography
url http://doi.org/10.1103/PhysRevResearch.7.013054
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AT jianzhao complexvaluedthreedimensionalatomicspectroscopywithgaussianassistedinlineholography
AT saijunwu complexvaluedthreedimensionalatomicspectroscopywithgaussianassistedinlineholography