We develop a new scheme of two-dimensional (2D) and three-dimensional (3D) atom localization via absorption and gain spectra of surface plasmon polaritons (SPPs) in a closed loop four-level atomic system. For the atom–field interaction, we construct a spatially dependent field by superimposing two (three) standing-wave fields (SWFs) in 2D (3D) atom localization, respectively. We achieve high-precision and high spatial resolution of an atom localization by appropriately adjusting the system parameters such as probe field detuning and phase shifts of the SWFs. The absorption and gain spectra are used to attain information about the position of an atom in SPPs. Our proposed scheme opens up a fascinating way to improve the atom localization that supplies some practical applications in a high-dimensional SPPs.
We develop a new scheme of two-dimensional (2D) and three-dimensional (3D) atom localization via absorption and gain spectra of surface plasmon polaritons (SPPs) in a closed loop four-level atomic system. For the atom–field interaction, we construct a spatially dependent field by superimposing two (three) standing-wave fields (SWFs) in 2D (3D) atom localization, respectively. We achieve high-precision and high spatial resolution of an atom localization by appropriately adjusting the system parameters such as probe field detuning and phase shifts of the SWFs. The absorption and gain spectra are used to attain information about the position of an atom in SPPs. Our proposed scheme opens up a fascinating way to improve the atom localization that supplies some practical applications in a high-dimensional SPPs.
Abstract In a four-level atomic configuration, we suggest a theoretical framework that is capable of obtaining sub-wavelength atomic localization by utilizing surface plasmon polaritons (SPPs). Via quantum interference mechanisms, we exhibit precise atomic positioning by utilizing the strong electromagnetic field confinement and enhanced near field interactions inherent to (SPPs). Our model employs specialized probe and control fields to generate spatially dependent absorption, thereby facilitating atomic localization with nanometer scale precision. We have identified sharply defined localization patterns that are regulated by phase modulation and detuning parameters through comprehensive numerical simulations. The conventional diffraction limit is effectively overcome by the coupling between (SPP) modes and atomic states, while quantum coherence is maintained. These findings provide practical implications for applications in plasmon enhanced spectroscopy, nanolithography, and atomic trapping, as they open new frontiers for quantum-scale manipulation. Additionally, we establish the optimal operational parameters that optimize spatial resolution and suppress decoherence in plasmonic nanostructures.
We aim to present a new scheme for high-dimensional atomic microscopy via double electromagnetically induced transparency in a four-level tripod system. For atom–field interaction, we construct a spatially dependent field by superimposing three standing-wave fields (SWFs) in 3D-atom localization. We achieve a high precision and high spatial resolution of an atom localization by appropriately adjusting the system variables such as field intensities and phase shifts. We also see the impact of Doppler shift and show that it dramatically deteriorates the precision of spatial information on 3D-atom localization. We believe that our suggested scheme opens up a fascinating way to improve the atom localization that supplies some practical applications in atom nanolithography, and Bose–Einstein condensation.
Abstract This work examines the 3D localization microscopy of atoms through a new technique employing absorption spectroscopy within a four-level atomic system under multi-wave mixing (MWM) conditions, combined with surface plasmon polaritons (SPPs). The method facilitates the determination of cylindrical and ellipsoidal atomic localization patterns, as well as the realization of one and two atom localization microscopy. The detuning, intensity, phase, and orientation of the applied driving fields are adjusted to precisely control and modulate the probability distribution of localized atoms. The spatial confinement and transitions between distinct localization patterns are significantly influenced by these parameters, which provide a high degree of modification and tunability. The results also illustrate the formation of ellipsoidal localizations across multiple quadrants, as well as the controllable shifting between two localized cylindrical patterns and a unified single-cylinder structure. The findings of this study have the potential to considerably accelerate the development of applications in laser cooling and quantum information processing.
Abstract Two-dimensional atomic microscopy is governed by the dispersion relation of surface plasmon polariton (SPP) waves at the interface between sodium metal and multi-walled carbon nanotubes (MWCNTs). The absorption or damping spectrum of these SPP waves encodes critical information about atomic localization. In accordance with Heisenberg microscopy, atoms can be localized with a resolution of along any spatial axis ( x, y , or z ). In this study, we tune the dispersion relation of SPPs by adjusting control fields and the parameters of MWCNTs. By adjusting these parameters, we achieve control over the number and positioning of single, double, and multiple localized peaks within a single wavelength domain in the damping spectrum of SPPs on a two-dimensional plane. Notably, we demonstrate atomic localization at scales significantly smaller than , with peak widths reduced to below along both x - and y -axes. Furthermore, we manipulate the shape and arrangement of localization peaks, achieving loop-like, wall-like, crater-like, and Gaussian profiles. These advancements have potential applications in high-precision atomic position measurement, nano-lithography, and Bose-Einstein condensation.
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.
Abstract We propose a new scheme for highly efficient three-dimensional (3D) atom localization in a coherently driven closed-loop four-level atomic system via measuring the probe absorption of the weak field. Due to the spatially dependent atom–field interaction, the absorption spectra of the weak probe laser field carry the information about the atomic position. By solving the density-matrix equations of motion and properly modulating the system parameters such as the probe detuning, the relative phase of three driving fields, and the intensity of the control and microwave fields, we can realize high-precision and high-resolution 3D atom localization. Furthermore, we can find the atom at a certain position with 100% probability under appropriate conditions, and then we employ the dressed-state analysis to explain qualitatively the reason of high-precision 3D atom localization.