Abstract
A scheme is proposed to realize three-dimensional (3D) atom localization in a driven two-level atomic system via resonance fluorescence. The field arrangement for the atom localization involves the application of three mutually orthogonal standing-wave fields and an additional traveling-wave coupling field. We have shown the efficacy of such field arrangement in tuning the spatially modulated resonance in all directions. Under different parametric conditions, the 3D localization patterns originate with various shapes such as sphere, sheets, disk, bowling pin, snake flute, flower vase. High-precision localization is achieved when the radiation field detuning equals twice the combined Rabi frequencies of the standing-wave fields. Application of a traveling-wave field of suitable amplitude at optimum radiation field detuning under symmetric standing-wave configuration leads to 100% detection probability even in sub-wavelength domain. Asymmetric field configuration is also taken into consideration to exhibit atom localization with appreciable precision compared to that of the symmetric case. The momentum distribution of the localized atoms is found to follow the Heisenberg uncertainty principle under the validity of Raman–Nath approximation. The proposed field configuration is suitable for application in the study of atom localization in an optical lattice arrangement.
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Acknowledgements
The authors are thankful to Prof Y. Wu for his valuable comments on the manuscript. BKD likes to acknowledge the tenure of his service in J. K. College, Purulia (W.B.), where he felt motivated to do research in this direction. He also gratefully acknowledges the financial support provided by the R & D section of Sree Chaitanya College (Grant No.: SCC/DJRG/SC-07. Dt. 16.05.2016).
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Panchadhyayee, P., Dutta, B.K., Das, N. et al. Resonance fluorescence microscopy via three-dimensional atom localization. Quantum Inf Process 17, 20 (2018). https://doi.org/10.1007/s11128-017-1787-4
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DOI: https://doi.org/10.1007/s11128-017-1787-4