Atom localization via interference of dark resonances

Abstract

A scheme of atom localization based on the interference of resonance of double-dark states is proposed, in which the atom interacts with a classical standing-wave field. It is found that the localization property is significantly improved due to the interaction of double-dark resonances. It is realized that the atom is localized just at the nodes of the standing-wave field with higher precision. Moreover, an improvement by a factor of 2 in the detecting probability of a single atom within the subwavelength domain can be achieved by adjusting the probe-field detuning. This scheme shows more advantages than other schemes of atom localization.

Localization of a two-level atom via the absorption spectrum

“…This is because the resonance fluorescence spectrum exhibits a uniform position distribution and provide no information about the atom localization when the driving field is resonant with the atomic transition in the two-level system. Likewise, several authors showed that the Raman resonances become useless when the absorption spectra are employed in the schemes based on electromagnetically induced transparency [15,20]. In sharp contrast, for the present scheme, it is the resonance conditions that are most suitable for the atom localization.…”

“…At the same time, there is 50% detecting probability (an improvement by a factor of 2) of the atom within the subwavelength domain. The improvement is also achieved by employing the interference of double dark resonances [20].…”

“…Zubairy and co-workers [17][18][19] have shown that using three transitions in a loop configuration can lead to the improvement of the detecting probability and to the phase control. Liu et al [20] have predicted that using a microwave field to couple the Zeeman levels can raise the detecting probability. It should be noted that when many fields and many levels are involved, the unnecessary cross couplings will occur in realistic systems.…”

Precision localization of single atom via spontaneous emission in three dimensions

“…Zubairy and coworkers have discussed atom localization using resonance fluorescence and phase and amplitude control of the absorption spectrum [14][15][16], and Agarwal and Kapale presented a scheme [17] based on coherent population trapping (CPT). Also, one-dimensional (1D) atom localization can be realized via dual measurement of the field and the atomic internal state [18], double-dark resonance effects [19], phase and amplitude control of the driving field [20,21], coherent manipulation of the Raman gain process [22], or spontaneous emission [23,24]. Recently, atom localization has been demonstrated in a proof-of-principle experiment using the technique of electromagnetically induced transparency (EIT) [25].…”

Two-Dimensional Atom Localization via Controlled Spontaneous Emission in a Coupled Cavity Waveguide

“…Several simple localization schemes have been proposed using such as the resonance fluorescence in a two-level system, the measurement of Autler-Townes split spontaneous emission in a three-level system, and a three-level -type atom interacting with a classical standing-wave field and a weak probe field [4][5][6]. Furthermore, one-dimensional (1D) atom localization can be achieved in Raman gain atoms [7], and coherent population trapping [8][9][10]. There will be more practical application in two-dimensional (2D) atom localization [11,12], and hence many works have been put forward.…”