Efficient characterization of spatial Schmidt modes of multiphoton entangled states produced from high-gain parametric down-conversion

Fuente: arXiv
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Autores principales: Amooei, Mahtab, Kulkarni, Girish, Upham, Jeremy, Boyd, Robert W.
Formato: Preprint
Publicado: 2024
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author Amooei, Mahtab
Kulkarni, Girish
Upham, Jeremy
Boyd, Robert W.
author_facet Amooei, Mahtab
Kulkarni, Girish
Upham, Jeremy
Boyd, Robert W.
contents The ability to efficiently characterize the spatial correlations of entangled states of light is critical for applications of many quantum technologies such as quantum imaging. Here, we demonstrate highly efficient theoretical and experimental characterization of the spatial Schmidt modes and the Schmidt spectrum of bright multiphoton entangled states of light produced from high-gain parametric down-conversion. In contrast to previous studies, we exploit the approximate quasihomogeneity and isotropy of the signal field and dramatically reduce the numerical computations involved in the experimental and theoretical characterization procedures. In our particular case where our experimental data sets consist of 5000 single-shot images of 256*256 pixels each, our method reduced the overall computation time by 2 orders of magnitude. This speed-up would be even more dramatic for larger input sizes. Consequently, we are able to rapidly characterize the Schmidt modes and Schmidt spectrum for a range of pump amplitudes and study their variation with increasing gain. Our results clearly reveal the broadening of the Schmidt modes and narrowing of the Schmidt spectrum for increasing gain with good agreement between theory and experiment.
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id arxiv_https___arxiv_org_abs_2410_04505
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient characterization of spatial Schmidt modes of multiphoton entangled states produced from high-gain parametric down-conversion
Amooei, Mahtab
Kulkarni, Girish
Upham, Jeremy
Boyd, Robert W.
Quantum Physics
Optics
The ability to efficiently characterize the spatial correlations of entangled states of light is critical for applications of many quantum technologies such as quantum imaging. Here, we demonstrate highly efficient theoretical and experimental characterization of the spatial Schmidt modes and the Schmidt spectrum of bright multiphoton entangled states of light produced from high-gain parametric down-conversion. In contrast to previous studies, we exploit the approximate quasihomogeneity and isotropy of the signal field and dramatically reduce the numerical computations involved in the experimental and theoretical characterization procedures. In our particular case where our experimental data sets consist of 5000 single-shot images of 256*256 pixels each, our method reduced the overall computation time by 2 orders of magnitude. This speed-up would be even more dramatic for larger input sizes. Consequently, we are able to rapidly characterize the Schmidt modes and Schmidt spectrum for a range of pump amplitudes and study their variation with increasing gain. Our results clearly reveal the broadening of the Schmidt modes and narrowing of the Schmidt spectrum for increasing gain with good agreement between theory and experiment.
title Efficient characterization of spatial Schmidt modes of multiphoton entangled states produced from high-gain parametric down-conversion
topic Quantum Physics
Optics
url https://arxiv.org/abs/2410.04505