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International Journal of Nanomanufacturing

Quantum treatment of a trapped atom inside a cylindrical nanotube

S. Al‐Awfi

Published Jan 1, 2011• 0 citations
Publisher

Abstract

We present the quantum treatment of the neutral atom trapped by the two-dimensional optical dipole potential due to a nano-cavity mode. Our model is based on the pure optical trapping of a two-level atom inside a cylindrical quantum system. In particular, when a hole diameter of the cylindrical tube of the order of nano-scale, only the lowest order mode can exist, which means that the optical system operates as an exact single mode structure. We have assumed large negative detuning situation

DOI
10.1504/ijnm.2011.039958

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We present the quantum treatment of the neutral atom trapped by the two-dimensional optical dipole potential due to a nano-cavity mode. Our model is based on the pure optical trapping of a two-level atom inside a cylindrical quantum system. In particular, when a hole diameter of the cylindrical tube of the order of nano-scale, only the lowest order mode can exist, which means that the optical system operates as an exact single mode structure. We have assumed large negative detuning situation
Atomic decay rate process of an excited two-level atom placed inside a cylindrical quantum nanotube is investigated. In particular, when a hole diameter of the cylindrical tube of the order of nanoscale, only the lowest order mode can exist, which means that the system operates as an exact single mode structure. The structure modes are quantised, allowing the position-dependent atomic decay rate process to be evaluated. For an atom inside a cylindrical structure whose typical dimension is in the nanoscale the atomic decay rate process is enhanced compared with that of the same atom in the free space.
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.
We investigate the vibrational energy eigenvalues and eigenfunctions of the neutral sodium atom trapped by the optical dipole potential due to a cavity mode. Our model is based on the optical confinement of a sodium atom between parallel plates with its dipole moment vector fixed in the axial direction of the cavity. The negative detuning situation and suitable parameters are taken in order to maintain a sufficiently deep central well of the optical dipole potential to allow many quasi harmonics trapped states of the atom.
We suggest a new schema of trapping cold atoms using a two-color evanescent light field around a carbon nanotube. The two light fields circularly polarized sending through a carbon nanotube generates an evanescent wave around this nanotube. By evanescent effect, the wave decays away from the nanotube producing a set of trapping minima of the total potential in the transverse plane as a ring around the nanotube. This schema allows capture of atoms to a cylindrical shell around the nanotube. We consider some possible boundary conditions leading to the non-trivial bound state solution. Our result will be compared to some recent trapping models and our previous trapping models.
Strong interactions between light and atoms at the single-quantum level are an important ingredient for quantum technologies, as well as for studies of fundamental effects in quantum optics. This thesis describes the development of a novel experimental platform that allows for trapping a single rubidium atom in the evanescent mode of a nano-fabricated optical cavity with sub-wavelength dimensions. By virtue of their small size, these cavities provide extremely large atom-photon coupling strengths and good prospects for scalability and integration into complex quantum optical circuits. Positioning the atom near the nano-structure is accomplished using a scanning optical tweezer dipole trap. As a first application, we have demonstrated a coherent optical switch, where a single gate photon controls the propagation of many subsequent signal photons, with the interaction mediated by the atom and cavity. We have also shown that the optical response of the combined atom-cavity system is nonlinear at the level of one or two photons.