Effects of geometrical specification of microengineered surfaces to Casimir-Polder potential

A.F Khaidir,M.N.A Halif,S.N Sabki,Mohamad Halim Abd Wahid

doi:10.1051/epjconf/201716201059

Abstract

Cold atoms can be trapped and guided using nanofabricated wires on microengineered surfaces, achieving the scales required by quantum information proposals on the consequences of Casimir-Polder (CP) force to its stability and lifetime. The atoms are found to be less attractive to the thin films compared to dielectric half plate, where the attractive potential drops even further when the thickness of the surface is lower than both thermal wavelength and the spacing length. Amiably, for the spherical surface, the CP potential decays even further as radial thickness decreases. We approximate the CP potential using the analytical expression obtained from the pairwise summation (PWS) calculated by taking a sum of single atom with the jumbled atoms inside the surface, treating them as two-bodies system as a whole. The means of PWS are to calculate the possibilities of geometrical effect: planar and curved surface on the CP potential.

Highlights

The implementation of such nanofabricated wires implanted in microengineered surface over a coherent matter waves of cold atoms for the purpose of trapping and manipulating near the micron distance away from the surface has been underway generating interest to facilitate study of the attractive power of law’s effect over the stability and the lifetime of Bose-Einstein Condensate (BEC) atoms [1,2,3]
The transition from various laser cooling techniques, spatially-varying magnetic trap, evaporative cooling to the placement of microelectronic chip near the ‘atomic conveyer belt’ or atom chips has seen the new challenges to nanotechnological developments during the trapping process of BEC atoms [4]
The precise control of the delivery of atoms during the microtrap process is necessary to minimize further inevitable noise and decoherence leading into improvisation of atom chips in recent years includes an integrated coherent matter wave circuits and a two-photon transition integrated atom chips for deterministic positioning of the atom cloud [5]

Summary

Introduction

The implementation of such nanofabricated wires (atom chips) implanted in microengineered surface over a coherent matter waves of cold atoms for the purpose of trapping and manipulating near the micron distance away from the surface has been underway generating interest to facilitate study of the attractive power of law’s effect over the stability and the lifetime of Bose-Einstein Condensate (BEC) atoms [1,2,3]. CP potential derives from the Casimir’s effect’s between the two-body systems [10] because of the occurring quantum electromagnetic dipole fluctuations [11] that involves the evanescence waves from the reproduction and annihilation of virtual photons surrounding it [12] The simulation of this CP potential is shown intuitively on the reflective patterns of atom clouds notably the dynamical excitations and formation of vortex rings when they loaded closer to the surface, probing the possibilities of trapping the micronatom-surface-distance through quantum reflection [13,14]. Where is a volume element of the surface, n is a density of atoms that made up the surface and is a interaction coefficient in which m = 6, 7 defined for nonretarded London-dispersion potential and retarded CP potential, respectively Their atom-atom interaction constants may be written as follow [19],.

Atom with nearby planar surface

Atom with nearby spherical surface

Discussions