Two-dimensional Sub-wavelength Atom Localization of a Four-Level Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varLambda$$\end{document}-type Atomic System with two Adjacent Lower Levels Via Probe Absorption

Two-dimensional atom localization of a four-level Λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varLambda$$\end{document}-shaped atom with two adjacent lower levels interacting with two orthogonal standing wave fields is considered. By measuring the probe field absorption, spatial information of position of a moving atom is obtained in x-y\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x - y$$\end{document} plane. The position of atom through two-dimensional standing wave field strongly depends on the intensity of standing waves, detuning of the probe and standing wave fields. Choosing the appropriate controlling parameters, the two-dimensional atom localization through the standing wave fields in a sub-wavelength domain will be achieved.