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Optics Express

Two-dimensional atom localization based on coherent field controlling in a five-level M-type atomic system

Xiangqian Jiang, Jinjiang Li, Xiudong Sun

Published Dec 5, 2017• 22 citations
Publisher

Abstract

We study two-dimensional sub-wavelength atom localization based on the microwave coupling field controlling and spontaneously generated coherence (SGC) effect. For a five-level M-type atom, introducing a microwave coupling field between two upper levels and considering the quantum interference between two transitions from two upper levels to lower levels, the analytical expression of conditional position probability (CPP) distribution is obtained using the iterative method. The influence of the detuning of a spontaneously emitted photon, Rabi frequency of the microwave field, and the SGC effect on the CPP are discussed. The two-dimensional sub-half-wavelength atom localization with high-precision and high spatial resolution is achieved by adjusting the detuning and the Rabi frequency, where the atom can be localized in a region smaller thanλ/10×λ/10. The spatial resolution is improved significantly compared with the case without the microwave field.

DOI
10.1364/oe.25.031678

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We study two-dimensional sub-wavelength atom localization based on the microwave coupling field controlling and spontaneously generated coherence (SGC) effect. For a five-level M-type atom, introducing a microwave coupling field between two upper levels and considering the quantum interference between two transitions from two upper levels to lower levels, the analytical expression of conditional position probability (CPP) distribution is obtained using the iterative method. The influence of the detuning of a spontaneously emitted photon, Rabi frequency of the microwave field, and the SGC effect on the CPP are discussed. The two-dimensional sub-half-wavelength atom localization with high-precision and high spatial resolution is achieved by adjusting the detuning and the Rabi frequency, where the atom can be localized in a region smaller thanλ/10×λ/10. The spatial resolution is improved significantly compared with the case without the microwave field.
Abstract We study the influence of quantum interference on 2D sub-half-wavelength atom localization in a four-level atom driven by three external fields with a loop structure. When the dipoles of the two transitions from two upper levels to the lower level are parallel to each other, quantum interference between the two transitions arises. The analytical expression of conditional position probability (CPP) distribution is obtained using the iterative method. We discuss the influence of the detuning of the spontaneously emitted photon, the Rabi frequency of the microwave field and the dipole moment matrix element alignment p on the CPP. 2D sub-half-wavelength atom localization is obtained and the spatial resolution is improved significantly compared with cases with no quantum interference.
We propose a scheme for two-dimensional sub-half-wavelength atom localization using two lasers with equal frequencies, and obtain the analytical expression of conditional position probability (CPP) using a spontaneous-emission spectrum for a four-level atom which passes through two-dimensional orthogonal standing-wave fields. The quantum interference effect between two decay channels leads to extreme spectral narrowing and quenching of spontaneous emission in some regions of the standing-wave field, which results in the appearance of a high-spatial-resolution localization peak. The two-dimensional sub-half-wavelength atom localization is obtained with high precision and high spatial resolution by adjusting the relative phase and detuning.
We propose a scheme for two-dimensional (2D) atom localization based on the controlled spontaneous emission, in which the atom interacts with two orthogonal standing-wave fields. Due to the spatially dependent atom-field interaction, the position probability distribution of the atom can be directly determined by measuring the resulting spontaneously emission spectrum. The phase sensitive property of the atomic system leads to quenching of the spontaneous emission in some regions of the standing-waves, which significantly reduces the uncertainty in the position measurement of the atom. We find that the frequency measurement of the emitted light localizes the atom in half-wavelength domain. Especially the probability of finding the atom at a particular position can reach 100% when a photon with certain frequency is detected. By increasing the Rabi frequencies of the driving fields, such 2D sub-half-wavelength atom localization can acquire high spatial resolution.
We present a simple scheme of two-dimensional (2D) atom localization controlled by spontaneously generated coherence (SGC) and incoherent pump in a closed Λ-type three-level atomic system. Due to the position-dependent atom-field interaction, the conditional position probability distribution of the atom passing through the standing waves can be directly determined by measuring the phase-sensitive probe absorption-gain spectrum. The role of the SGC and incoherent pump in the precision and spatial resolution of 2D atom localization is studied. It is found that the probability of finding the atom at a particular position in one period of the standing waves can reach 100% via properly adjusting the parameters of the system.
A scheme is proposed for two-dimensional atom localization in the subwavelength domain via controlled spontaneous emission. We consider a five-level M-type atomic system interacting with two orthogonal standing-wave laser fields and the vacuum of the radiation field. The interaction of the atom with space-dependent standing-wave fields can provide information about the position of the atom passing through, thus leading to atom localization. It is found that the localization is significantly improved due to the interference effect between the spontaneous decay channels and the dynamically induced quantum interference generated by the two standing-wave fields. By properly varying the system parameters, we can achieve high-precision and high-resolution atom localization.
We present a scheme for two-dimensional (2D) atom localization in a three-level atomic system. The scheme is based on quantum coherence via classical standing wave fields between the two excited levels. Our results show that conditional position probability is significantly phase dependent of the applied field and frequency detuning of spontaneously emitted photons. We obtain a single localization peak having probability close to unity by manipulating the control parameters. The effect of atomic level coherence on the sub-wavelength localization has also been studied. Our scheme may be helpful in systems involving atom-field interaction.