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Journal of Modern Optics

High precision three-dimensional atom localization via spatially modulated quantum interference in a V-type atomic system beyond weak field approximation

Aniket Banerjee, Pradipta Panchadhyayee, Bibhas Kumar Dutta

Published Jul 25, 2025• 0 citations
Publisher

Abstract

We have put forward high-precision three-dimensional (3D) atom localization in a simple three-level V-type atomic system via measuring population in two excited states. Owing to the space-dependent atom-field interaction for the atom passing through the standing waves, the position probability distribution of the atom can be determined by measuring the populations in two excited states. Based on field-induced quantum interference, it has been shown that the present model can be very efficient in obtaining 50% and 100% probability of finding the atomic position in 3D space by properly tuning the system parameters in various standing-wave field configurations. In the present work, we note that 50% and 100% position detection probabilities of the atom are attainable with the limit of spatial resolutions λ356.2×106 and λ37.78×106, respectively, as expressed in terms of localization volume. The efficacy of the present model lies in its potential applications in quantum information processing and technology via 3D atom localization in the near future.

DOI
10.1080/09500340.2025.2530196

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Abstract We present a new scheme for high-efficiency three-dimensional (3D) atom localization in a four-level atomic system via measuring the populations in two excited states. Owing to the space-dependent atom–field interaction, the position probability distribution of the atom passing through the standing waves can be directly determined by measuring the populations in two excited states. It is found that the phase-sensitive property of the atomic system reduces the uncertainty in the position measurement of the atom. In particular, the probability of finding the atom in 3D space can be almost 100% via properly varying the parameters of the system. Our scheme opens a promising way to achieve high-precision and high-efficiency 3D atom localization, which provides some potential applications in the atom nanolithography via 3D atom localization.
We propose a efficient scheme for high-precision three-dimensional (3D) atom localization via spatial interference in a generic double two-level atomic system driven by a weak probe field and three mutually perpendicular standing-wave fields. Because the spatial interference originates from the position-dependent atom-field interaction, the position information of the atom can be obtained by the measurement of the atom population. We find that the precision of 3D atom localization in volumes depends sensitively on the frequency detuning and the phase shifts associated with the standing-wave fields. Interestingly enough, we show that adjusting the frequency detuning and phase shifts can lead to a redistribution of the atoms and a significant change in the visibility of the interference pattern. As a result, the atom can be localized in volumes that are substantially smaller than a cubic optical wavelength.
Abstract A scheme for three-dimensional (3D) atom localization with high-precision and high-resolution is proposed and its control is studied in a four-level atomic system driven by an additional microwave field. Because of the spatial dependent interaction between atoms and standing wave fields, the atoms can be localized in a domain with widths as small as 0.014 λ by appropriately adjusting the system parameters. The probe absorption spectrum of the atomic system gives the position information of the atoms and different evolution patterns of the localization structures in this study. The population distribution and its 3D localization structures can be easily adjusted by parameters of the microwave field, which can achieve a 100% probability of observing the atom in a specific space and the accuracy with the value of 0.014 λ . Compared with 1D or 2D localizations, 3D localization can further improve the precision of position measurement and develop its spatial resolution, which may produce a wider variety of practical applications with high precision requirement.
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We propose an effective scheme for high-precision three dimensional(3D) atom localization via measuring the population of excited state in a four-level atomic system driven by a probe field and three orthogonal standing-wave fields. In this scheme, the position-dependent multiphoton quantum destructive interference leads to multiphoton excitation of the excited state and enhances the fluorescence emission. We show that adjusting the frequency detuning and phase shifts associated with the standing-wave fields can modify the multiphoton quantum destructive interference and lead to a redistribution of the atoms. The maximal probability of finding the atom at the certain position in one period of the standing-wave fields can be 100% and the highest spatial precision is about 0.02λ.
We present a new scheme for three-dimensional (3D) atom localization in a three-level atomic system via measuring the absorption of a weak probe field. Owing to the space-dependent atom-field interaction, the position probability distribution of the atom can be directly determined by measuring the probe absorption. It is found that, by properly varying the parameters of the system, the probability of finding the atom in 3D space can be almost 100%. Our scheme opens a promising way to achieve high-precision and high-efficiency 3D atom localization, which provides some potential applications in laser cooling or atom nano-lithography via atom localization.