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arXiv:1812.01775

Nanoscale angular lattice formed by light with high orbital angular

Zheng Li, Xiang Gao, Lushuai Cao

Published Dec 5, 2018• 0 citations

Abstract

Standing waves generated by the interference of Laguerre-Gaussian (LG) beams can be used for dipole trap. We propose a scheme to create a nanometer (nm) scale ring lattice based on the interference of two high order LG beams without decrease the wavelength. Both of the two LG beams have a monocyclic intensity distribution, and they have the same orbital angular momentum (OAM) quantum number on the order of $10^6$. We are able to theoretically demonstrate a dipole potential along angular direction with the period of $\sim$1 nm , given the waist of the Gaussian beams to be $\sim$0.8 $μ$m. The atoms in this lattice can be trapped along the radial and azimuthal direction in the potential wells of with $\sim$100 nm and $\sim$0.85 nm distance. The proposed method opens up a convenient pathway towards sub-wavelength atom traps that could directly lead to overlap of wave function of atoms in adjacent wells and the formation of molecular bonds.

DOI: 10.48550/arxiv.1812.01775

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Standing waves generated by the interference of Laguerre-Gaussian (LG) beams can be used for dipole trap. We propose a scheme to create a nanometer (nm) scale ring lattice based on the interference of two high order LG beams without decrease the wavelength. Both of the two LG beams have a monocyclic intensity distribution, and they have the same orbital angular momentum (OAM) quantum number on the order of

10^6

. We are able to theoretically demonstrate a dipole potential along angular direction with the period of

\sim

1 nm , given the waist of the Gaussian beams to be

\sim

0.8

μ

m. The atoms in this lattice can be trapped along the radial and azimuthal direction in the potential wells of with

\sim

100 nm and

\sim

0.85 nm distance. The proposed method opens up a convenient pathway towards sub-wavelength atom traps that could directly lead to overlap of wave function of atoms in adjacent wells and the formation of molecular bonds.

Abstract Counter-propagating co-axial Laguerre–Gaussian (LG) beams are considered, not in the familiar scenario where the focal planes coincide at z = 0, but when they are separated by a finite axial distance d . The simplest case is where both beams are doughnut beams which have the same linear polarisation. The total fields of this system are shown to display novel amplitude and phase distributions and are shown to give rise to a ring or a finite ring lattice composed of double rings and single central ring. When the beams have slightly different frequencies the ring lattice pattern becomes a finite set of rotating Ferris wheels and the whole pattern also moves axially between the focal planes. We show that the fields of such an axially shifted pair of counter-propagating LG beams generate trapping potentials due to the dipole force which can trap two-level atoms in the components of the ring lattice. We also highlight a unique feature of this system which involves the creation of a new longitudinal optical atom trapping potential due to the scattering force which arises solely when d ≠ 0 . The results are illustrated using realistic parameters which also confirm the importance of the Gouy and curvature effects in determining the ring separation both radially and axially and gives rise to the possibility of atom tunnelling between components of the double rings.

Laser cooling and trapping has led to a revolution in Atomic and Molecular physics. Optical traps created with blue-detuned laser beams are desired for numerous studies. One method of creating such a trap is with Laguerre-Gaussian laser beams. Laguerre-Gaussian (LG) laser beams are interesting because of their orbital angular momentum and radial intensity modes. Previous methods of creating higher-order LG beams did not yield pure LG modes. In collaboration with Digital Optics Corporation diffraction optics have been manufactured that yield higher-order LG laser beams with purities consistent with 100% of the intensity in the desire mode. We then create a donut-mode LG beam with this method to confine atoms from a MOT in both a blue-detuned and a red-detuned optical dipole force trap.