Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain

Research output: Contribution to journal › Letter › Research › peer-review

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Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain. / Niewelt, Bartosz; Jastrzȩbski, Marcin; Kurzyna, Stanisław; Nowosielski, Jan; Wasilewski, Wojciech; Mazelanik, Mateusz; Parniak, Michał.

In: Physical Review Letters, Vol. 130, No. 24, 240801, 16.06.2023.

Research output: Contribution to journal › Letter › Research › peer-review

Harvard

Niewelt, B, Jastrzȩbski, M, Kurzyna, S, Nowosielski, J, Wasilewski, W, Mazelanik, M & Parniak, M 2023, 'Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain', Physical Review Letters, vol. 130, no. 24, 240801. https://doi.org/10.1103/PhysRevLett.130.240801

APA

Niewelt, B., Jastrzȩbski, M., Kurzyna, S., Nowosielski, J., Wasilewski, W., Mazelanik, M., & Parniak, M. (2023). Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain. Physical Review Letters, 130(24), [240801]. https://doi.org/10.1103/PhysRevLett.130.240801

Vancouver

Niewelt B, Jastrzȩbski M, Kurzyna S, Nowosielski J, Wasilewski W, Mazelanik M et al. Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain. Physical Review Letters. 2023 Jun 16;130(24). 240801. https://doi.org/10.1103/PhysRevLett.130.240801

Author

Niewelt, Bartosz ; Jastrzȩbski, Marcin ; Kurzyna, Stanisław ; Nowosielski, Jan ; Wasilewski, Wojciech ; Mazelanik, Mateusz ; Parniak, Michał. / Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain. In: Physical Review Letters. 2023 ; Vol. 130, No. 24.

Bibtex

@article{b7d2ce8e99964f3f99bf176fc08044d2,
title = "Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain",
abstract = "The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of optical signals in their time-frequency degree of freedom bypasses the digitization step and presents an opportunity to enhance many protocols in quantum and classical communication, sensing, and computing. In this Letter, we present the experimental realization of the fractional Fourier transform in the time-frequency domain using an atomic quantum-optical memory system with processing capabilities. Our scheme performs the operation by imposing programmable interleaved spectral and temporal phases. We have verified the FrFT by analyses of chroncyclic Wigner functions measured via a shot-noise limited homodyne detector. Our results hold prospects for achieving temporal-mode sorting, processing, and superresolved parameter estimation. ",
author = "Bartosz Niewelt and Marcin Jastrzȩbski and Stanis{\l}aw Kurzyna and Jan Nowosielski and Wojciech Wasilewski and Mateusz Mazelanik and Micha{\l} Parniak",
note = "Funding Information: The “Quantum Optical Technologies” (MAB/2018/4) project is carried out within the International Research Agendas programme of the Foundation for Polish Science co-financed by the European Union under the European Regional Development Fund. We thank K. Banaszek for generous support. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.",
year = "2023",
month = jun,
day = "16",
doi = "10.1103/PhysRevLett.130.240801",
language = "English",
volume = "130",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "24",

}

RIS

TY - JOUR

T1 - Experimental Implementation of the Optical Fractional Fourier Transform in the Time-Frequency Domain

AU - Niewelt, Bartosz

AU - Jastrzȩbski, Marcin

AU - Kurzyna, Stanisław

AU - Nowosielski, Jan

AU - Wasilewski, Wojciech

AU - Mazelanik, Mateusz

AU - Parniak, Michał

N1 - Funding Information: The “Quantum Optical Technologies” (MAB/2018/4) project is carried out within the International Research Agendas programme of the Foundation for Polish Science co-financed by the European Union under the European Regional Development Fund. We thank K. Banaszek for generous support. Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

PY - 2023/6/16

Y1 - 2023/6/16

N2 - The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of optical signals in their time-frequency degree of freedom bypasses the digitization step and presents an opportunity to enhance many protocols in quantum and classical communication, sensing, and computing. In this Letter, we present the experimental realization of the fractional Fourier transform in the time-frequency domain using an atomic quantum-optical memory system with processing capabilities. Our scheme performs the operation by imposing programmable interleaved spectral and temporal phases. We have verified the FrFT by analyses of chroncyclic Wigner functions measured via a shot-noise limited homodyne detector. Our results hold prospects for achieving temporal-mode sorting, processing, and superresolved parameter estimation.

AB - The fractional Fourier transform (FrFT), a fundamental operation in physics that corresponds to a rotation of phase space by any angle, is also an indispensable tool employed in digital signal processing for noise reduction. Processing of optical signals in their time-frequency degree of freedom bypasses the digitization step and presents an opportunity to enhance many protocols in quantum and classical communication, sensing, and computing. In this Letter, we present the experimental realization of the fractional Fourier transform in the time-frequency domain using an atomic quantum-optical memory system with processing capabilities. Our scheme performs the operation by imposing programmable interleaved spectral and temporal phases. We have verified the FrFT by analyses of chroncyclic Wigner functions measured via a shot-noise limited homodyne detector. Our results hold prospects for achieving temporal-mode sorting, processing, and superresolved parameter estimation.

U2 - 10.1103/PhysRevLett.130.240801

DO - 10.1103/PhysRevLett.130.240801

M3 - Letter

C2 - 37390418

AN - SCOPUS:85163767690

VL - 130

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

M1 - 240801

ER -

ID: 360818344