Anas Othman

Taibah University, Saudi Arabia

Title: High-Order of Near Coherent States

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Biography

Anas Othman is Assistant Professor at the physics department of the Taibah University. My research is mostly in the field of theoretical quantum optics and mathematical physics. In particular, I have general interest in the area of controlling/manipulating quantum optics applications, emerging phenomena of light-matter interactions, and new quantum\ states/operators/definitions. I received my master degree at the University of Alberta (Canada) in the physics major in 2014, and received my PhD at the University of Waterloo (Canada) in the physics major in the field of theoretical quantum optics in 2018. I have published more than 11 peer-reviewed articles.

Abstract

Superposing two semi-identical variable states is recently defined and applied to the coherent state, and has been named the near coherent state. It has quite interesting features and possibly the most important one of them is that it provides a classical-to-quantum transition. Plus, it carries many nonclassical properties. Also, its characteristics are in-between the regular coherent state and Schrodinger cat states.

Although the definition of the near coherent state seems complicated (superposing two states), it yields direct and relatively simple mathematical formula. For example, the resultant superposition becomes a superposition of the derivative of the coherent state and the coherent state itself. Based on that and the emerging nonclassical features of the near coherent state, we here apply the near superposition technique to the near coherent state for an arbitrary number of times. This high-order of near coherent states generates a zoo of phases, we here are interested in the choice of phases that generates the high-order derivatives of coherent states.

We showed that these high-order derivatives of coherent states have many interesting mathematical formulas. They can be written in more than one relatively straightforward formula that each explains something physical about the state itself. Also, they have a seed state that is a superposition of only odd or even Fock states but never both. Interestingly, although there is not a clear connection between this proposed state and the Mth coherent state, we found that they share the same operator of their eigenvalue equation. Moreover, these states have nonclassical features such as sup-Poissonian statistics. The squeezing parameter is also studied and yield wiggling behavior without evidence of squeezing.

In conclusion, we proved that the high-order derivative of the coherent state is one possible limit to the high-order of near coherent states. We obtained the direct formulations and operations of these states.