https://doi.org/10.1140/epjp/s13360-025-06427-5
Regular Article
q-Deformed post-selected weak measurement
1
Department of Physics, Istanbul University, Vezneciler, 34134, Istanbul, Türkiye
2
Institute for International Strategy, Tokyo International University, 4-42-31 Higashi-Ikebukuro, Toshima-ku, 170-0013, Tokyo, Japan
3
Nanoelectronics Research Center, Kosuyolu Mah., Lambaci Sok., Kosuyolu Sit., No: 9E/3, Kadikoy, Istanbul, Türkiye
Received:
13
September
2024
Accepted:
14
May
2025
Published online:
6
June
2025
We study q-deformed coherent states of the Arik–Coon harmonic oscillator as the quantum resource in the post-selected weak measurement. First, we show how the precision of weak measurement is improved significantly due to q-deformation. Next, we focus on the role of the interplay between the deformation parameter and the interaction strength on the nonclassical nature of light. In particular, we show that sub-Poissonian photon distribution as characterized by Mandel parameter, photon antibunching effect, and quadrature squeezing is greatly enhanced by q-deformation. Our results not only advance the understanding of the fundamentals of q-deformed quantum mechanics, but also raise the potential to contribute to quantum technologies.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
