Arik–Coon q-oscillator cat states on the noncommutative complex plane ℂq−1 and their nonclassical properties

DOI10.1142/S0219887817500608zbMath1362.81053OpenAlexW2565086703MaRDI QIDQ2977781

M. Sayyah-Fard, Hossein Fakhri

Publication date: 20 April 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500608

zbMATH Keywords

unitary representationsuncertainty relationnoncommutative plane\(q\)-differential calculus\(q\)-cat states\(q\)-Mandel parameterArik-Coon \(q\)-oscillatorsecond-order intensity \(q\)-correlation function

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum optics (81V80) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (5)

Triplet \(q\)-cat states of the Biedenharn-MacFarlane \(q\)-oscillator with \(q > 1\) ⋮ \(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Nonclassical properties of the Arik–Coon q−1-oscillator coherent states on the noncommutative complex plane ℂq ⋮ Nonclassicality of photon-added \(q\)-squeezed first excited states

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