https://doi.org/10.1140/epjd/s10053-024-00855-1
Regular Article
Superposition and interference states in q-deformed quantum oscillator
1
Institute of Graduate Studies in Science, İstanbul University, Vezneciler, 34134, İstanbul, Türkiye
2
Department of Physics, Faculty of Science, İstanbul University, Vezneciler, 34134, İstanbul, Türkiye
Received:
15
February
2024
Accepted:
23
April
2024
Published online:
8
May
2024
Wave functions and probability density functions of superposition states of a q-deformed harmonic oscillator are studied. It is found that the intensity of the q deformation parameter and the ratio of probability amplitudes in the superposition state determine the oscillation characteristic of the probability density function. In the Fourier spectrum of the probability density function, high-frequency components disappear as the system evolves to an undeformed state. It is shown that by superposing four-wave functions with the same deformation value 
, an entangled state having sub-Planck features can be obtained, whereas two deformed states with the same q value do not constitute an entangled state.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjd/s10053-024-00855-1.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
