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This article is cited in 1 scientific paper (total in 1 paper)
Superpositions of coherent states determined by Gauss sums
V. P. Spiridonovab a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia
b National Research University "Higher School of Economics", Moscow, Russia
Abstract:
We describe a family of quantum states of the Schrödinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by the quadratic Gauss sums. These states emerge as eigenfunctions of the lowering operators obtained after canonical transformations of the Heisenberg–Weyl algebra associated with the ordinary and fractional Fourier transformations. The first member of this family is given by the well known Yurke–Stoler coherent state.
Keywords:
coherent states, harmonic oscillator, Gauss sums, Fourier transformation.
Received: 01.03.2022 Revised: 01.03.2022
Citation:
V. P. Spiridonov, “Superpositions of coherent states determined by Gauss sums”, TMF, 212:3 (2022), 403–413; Theoret. and Math. Phys., 212:3 (2022), 1237–1245
Linking options:
https://www.mathnet.ru/eng/tmf10276https://doi.org/10.4213/tmf10276 https://www.mathnet.ru/eng/tmf/v212/i3/p403
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Abstract page: | 167 | Full-text PDF : | 34 | References: | 34 | First page: | 5 |
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