arXiv subjects

M. R. Bazrafkan

Publications and source records attributed to M. R. Bazrafkan.

3 recordsLinked to original sources

arXiv2012

A New Theorem on the Nonclassicality of States

A new theorem on the non-classicality depth of states has been proved. We show that if $W_{\hat ρ} (α_m,s_m)=0$ exist for some value of the ordering parameter $s$ at some phase-space point $α_m$, and if $W_{\hat ρ} (α,s_m)$ is an acceptable quasi-classical distribution, the non-classicality of $\hat ρ$ in parallel with Lee's non-classicality depth is then given by $τ_m=(1 - s_m)/2$. In this way, a general examination of the effects of the single-photon-addition and -subtraction operations has been studied. The theorem, indeed, provides a theoretical background for generating quantum states of arbitrary non-classicality depth.

quant-ph↗

arXiv2012

Combinatorial Approach to Boson Anti-Normal Ordering Problem

We address a systematic combinatorial approach to the anti-normal ordering problem. In this way, we use the Stirling numbers and their generating function, the so-called Bell polynomials, together with the operational methods to anti-normal the operator ${e^{λ{a^†}a}}$. In fact, we exploit the new theorem given by Shähandeh et al. in a special case of anti-normal ordering.

math-ph↗

arXiv2012

Deriving Some Quantum Optical Identities Using the General Ordering Theorem

Using the newly introduced general ordering theorem (GOT) by Shähandeh and Bazrafkan, we derive and generalize some quantum optical identities and give their applications.

quant-ph↗