Precise localization of two-level atom by the superposition of two standing wave fields

Bibhas Kumar Dutta, Pradipta Panchadhyayee, P.K. Mahapatra

A scheme is proposed to achieve one-dimensional localization of a two-level atom moving through a standing wave regime constructed by two classical standing-wave fields. Precise position information of the atom can be obtained by measuring resonant absorption of a weak coherent field probing the transition strongly driven by the resonant standing-wave fields. Behavior of atomic localization has been shown for symmetric superposition of the standing-wave fields arranged in two distinct configurations: (i) parallel and (ii) cross. In the cross-configuration, we have shown 100% detection probability of the atom within one wavelength range with the evolution of single localization peak in the sub-half-wavelength range due to the variation of spatial phase shift of one of the standing-wave fields. In case of nonresonant coupling of the atom with the standing-wave fields, a single localization peak in the sub-half-wavelength range can be obtained by changing the relative detuning of frequency of the probe field. For achieving high resolution single-peak localization of a two-level atom, the present scheme would be of great interest from the experimental point of view.

Jun Xu, Xiangming Hu

Vladimir G. Minogin, Yu. V. Rozhdestvenskiǐ

Muhammad Idrees, Bakht Amin Bacha, Muhammad Javed +1 more

Abstract We present a scheme that provides a strong basis for precise localization of atoms, using superposition of two standing wave fields in a three level Λ -type gain assisted model. We show how atomic interference and diffraction occur at a particular node or antinode region of the standing wave fields. Two, three, four and even single localized peaks of atoms are observed in both full-wavelength and sub-half-wavelength domains, with 100 percent localization probability in a single peak. Dark lines appearing in the node region of the standing wave fields show strong evidence for atomic destructive interference. The proposed scheme allows for efficient localization of an atom to a particular point.

Ali Aghlmand alanagh, Mostafa Sahrai, Forough Bozorgzadeh

Tao Shui, Zhiping Wang, Zhigang Cao +1 more

We propose a scheme for two-dimensional (2D) atom localization based on the controllable Autler–Townes spontaneous spectrum in a three-level ladder-type atomic system. The two upper levels are driven by two orthogonal standing-wave fields, where each standing-wave field is constituted of the superposition of two standing-wave fields along the corresponding direction. It is found that, depending on the effect of the asymmetric superposition, the maximal probability of finding an atom within the sub-half-wavelength domain of the standing waves can reach unity with appropriate values of the frequency detuning of the spontaneously emitted photon and the Rabi frequencies and phase shifts associated with the standing-wave fields. Our scheme may provide a promising way to achieve high-precision and high-resolution 2D atom localization.