Abstract
Statistical and artificial neural network models are applied to forecast the quantum scheme of a three-level atomic system (3LAS) and field, initially following a photon added negative binomial distribution (PANBD). The Mandel parameter is used to detect the photon statistics of a radiation field. Explicit forms of the PANBD are given. The prediction of the Mandel parameter, atomic probability of the 3LAS in the upper state, and von Neumann entropy are obtained using time series and artificial neural network methods. The influence of probability success photons and the number of added photons to the NBD are examined. The total density matrix is used to compute and analyze the time evolution of the initial photonic negative binomial probability distribution that governs the 3LAS–field photon entanglement behavior. It is shown that the statistical quantities are strongly affected by probability success photons and the number of added photons to the NBD. Also, the prediction of quantum entropy is achieved by the time series and neural network.
Highlights
Accepted: 21 January 2022Published: 31 January 2022Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.Licensee MDPI, Basel, Switzerland
The Negative BinomialDistribution (NBD) was found along much the same lines as even, odd, superposition, entangled and deformed states, and special cases of nonlinear coherent states [5]
Agarwal and Tara [10] developed these states in the form of the Photon Added Coherent State (PACS), which depicts a remarkable non-classical property, including sub-Poissonian photon statistics and squeezing in a radiation field
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Agarwal and Tara [10] developed these states in the form of the Photon Added Coherent State (PACS), which depicts a remarkable non-classical property, including sub-Poissonian photon statistics and squeezing in a radiation field. The excited quantum state of light resulting from adding a number of photons to the optical field photon distributions play a central role in quantum statistics and quantum information processing. Explored the non-classical states engendered by excitations on particular quantum states These states exhibit remarkable non-classical features, including sub-Poissonian photon statistics and squeezing in the quadrature of the radiation field.
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