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Ukrainian Journal of Physics

Spatial Distribution of Atoms in the Field of Intersecting Standing Bichromatic Light Waves

V. I. Romanenko, Nataliya V. Kornilovska, O. G. Udovytska, Леонід Петрович Яценко

Published Feb 21, 2019• 0 citations
Publisher

Abstract

We have shown that, by properly detuning the carrier frequencies in each of two perpendicularly intersecting bichromatic waves from the atomic transition frequency, it is possible to create a two-dimensional trap for atoms, if the wave intensities are sufficiently high. At the zero and near-zero values of the initial wave phases, as well as at the phase shift between the intersecting waves equal to п or close to п values, the dynamic spatial patterns of atoms consisting of square cells with the side length equal to л/√2 are formed. Numerical simulations were carried out for sodium atoms.

DOI
10.15407/ujpe64.2.109

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We have shown that, by properly detuning the carrier frequencies in each of two perpendicularly intersecting bichromatic waves from the atomic transition frequency, it is possible to create a two-dimensional trap for atoms, if the wave intensities are sufficiently high. At the zero and near-zero values of the initial wave phases, as well as at the phase shift between the intersecting waves equal to п or close to п values, the dynamic spatial patterns of atoms consisting of square cells with the side length equal to л/√2 are formed. Numerical simulations were carried out for sodium atoms.
We show that properly detuning the carrier frequency of each of the criss-cross bichromatic waves from the transition frequency of the atom, it is possible to form a two-dimensional trap for atoms if the intensity of the waves is sufficiently large. For zero and near zero initial phases of waves, and also for πππ and near πππ phase shift between criss-cross waves a dynamic spatial structure of square cells with the side λ/2λ/\sqrt{2}λ/2​ is formed. Numerical simulations are carried out for sodium atoms.
It has been shown that the field of counter-propagating bichromatic light waves can form a one-dimension trap for atoms. The confinement of an ensemble of atoms in the trap and their simultaneous cooling to a temperature close to the Doppler cooling limit can be achieved without using auxiliary fields, by properly choosing the detuning of monochromatic components from the atomic transition frequency. The specific numerical simulation is carried out for sodium atoms. A possible application of such a trap for the confinement and the cooling of molecules with an almost diagonal array of Franck–Condon factors is discussed.
Diffraction of atomic wave packets from a standing laser wave with a Gaussian profile is studied theoretically and numerically in pursuing the aim of creating high-resolution spatial structures in optical nanolithography. To this end, we propose to use nonadiabatic transitions between two optical potentials which take place when square of the value of detuning off the resonance is approximately equal to the Doppler shift. In this case, atomic wave packets experience splitting at nodes of the standing wave, which allows creating atomic structures on a substrate with a period substantially smaller than the standard nanofabrication limit equal to half the wavelength of light. We propose a scheme of the experiment for the observation of nonadiabatic transitions and splitting of the wave of matter caused by them. A number of computer simulations with parameters corresponding to real atoms have been performed, which exhibit this effect in both momentum and coordinate spaces.
We have observed periodic structures of atoms when a bichromatic laser combination, with frequencies near the D1D1D1 and D2D2D2 lines, is used to produce a magneto-optical trap of sodium atoms. These periodic spatial distributions could not be explained on the basis of rectified force. Our interpretation relies on a possible spatial modulation of the damping and spring constants, resulting from the interference between the two atomic transitions.
The stationary momentum and coordinate distributions of two-level atoms in the field of a one-dimensional standing light wave have been studied. A qualitatively new effect—the predominant concentration of atoms outside of the minima of the optical potential—has been detected in the regime of moderate saturation of an atomic transition and red frequency detuning. This effect has been qualitatively interpreted. Calculations have been performed using the quantum kinetic equation for the atomic density matrix with the complete inclusion of recoil and localization effects in an arbitrary-intensity light field. In addition to theoretical significance, the results can be useful for atomic nanolithography and frequency standards based on optical gratings.