Theoretical Study On Efficient Two-dimensional Atom Localization

In the present paper, we investigate the behavior of the efficient two-dimensional atom localization theoretically, i.e., investigate the behavior of a moving atom locali-zation in two orthogonal standing-wave fields. Through some theoretical derivation and numerical simulation, we find that localization peaks depends on the detuning of the related light fields, the intensities of the related Rabi frequencies, the related atom configuration, and the coherent coupling methods of the two orthogonal stand-ing-wave fields or of the standing wave fields and the coherent fields. The main content of this paper is as follows:1. The Semi-classical theory of the interaction between light fields and matter has been demonstrated to deal with some problems such as the absorption and dispersion of light fields for related matter. And the Laplace transform and the final value theory have also been introduced.2. We have investigated the behavior of the atom localization via detecting the probe absorption spectral in a five-level M-type atomic system. It is shown that the moving atom can be localized at a particular position in the two orthogonal standing-wave fields, when a microwave-field was coupled to a forbidden transition to make the atom system to have a cycle-configuration. Besides, we have also studied the behavior of two-dimensional atom localization via detecting the spontaneously emitted photon in a four-level inverted Y-type atomic system. We found that the precision two-dimensional atom localization could be obtained via adjusting appropriate system parameters.3. We proposed a new coupling method for efficient two-dimensional atom localization. By coupling coherent light fields to some transitions driven by standing-wave fields (they have the same frequency), efficient two-dimensional atom localization could be obtained. We employ the new coupling method to study the localization of a moving atom in a four-level Y-type atomic system, and shown some results of the atom localization in a simplified ladder-type three-level atomic system.