# Spatial distribution of atoms in the field of the criss-cross standing bichromatic light waves

## TL;DR

This paper demonstrates that by detuning the frequencies of criss-cross bichromatic light waves, a two-dimensional atomic trap with a square cell structure can be formed, supported by numerical simulations with sodium atoms.

## Contribution

It introduces a method to create 2D atomic traps using detuned bichromatic light waves with specific phase configurations, supported by numerical analysis.

## Key findings

- Formation of 2D atomic traps with square cell structure
- Dependence of trap formation on wave detuning and phase shifts
- Numerical validation with sodium atoms

## Abstract

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 $\pi$ and near $\pi$ phase shift between criss-cross waves a dynamic spatial structure of square cells with the side $\lambda /\sqrt{2}$ is formed. Numerical simulations are carried out for sodium atoms.