Abstract
This work presents the entanglement between an electromagnetic field and two-level atom situated inside a quantum optical system. Our optical model is based on cylindrical tube with a hole diameter of the order of nanoscale which leads to only the lowest order mode can exist. Numbers of the statistical features of effective Hamiltonian such as the temporal evolution of the atomic inversion and the von Neumann entropy are evaluated. We have evaluated the atomic inversion and we demonstrate that the atom still in maximal entangled state when the radius of tube a is large. We have used the von Neumann entropy to measure the degree of that entanglement. The results illustrate that the effect of the radius of tube a changes the quasi-period of the field entropy and therefore the entanglement process.
Highlights
Entanglement process is one of the most mystifying properties of quantum optics
We have examined in detail the properties of the entanglement between an atom and the electromagnetic field inside cylindrical nanotube
The tube modes are first quantized, allowing the effective Hamiltonian to be evaluated for an electric dipole located at an arbitrary point
Summary
Entanglement process is one of the most mystifying properties of quantum optics. It is the key constituent for a lot of experiments in quantum communication and information processes [1,2,3]. This work explains the generation and confirmation of an entangled state between a single neutral atom and a single quantize cavity-mode at a wavelength suitable for long distance information transport [8,9] For this objective, we store a single atom in an optical dipole trap within cylindrical nanotube. The manipulating atoms through cylindrical tube become an important sub-field of nanoscale studies Because it can occur and efficiently in a manner similar to the propagation of light in the fiber optics. It is the primary purpose of this paper to examine the essential ingredients of the theory leading to the description of entanglement between atom and electromagnetic field inside cylindrical nanotube Such a study should provide the initial steps towards a more comprehensive understanding of the nature of entanglement process within confinement systems in general.
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