Localization of a two-level atom via the absorption spectrum

Xu, Jun; Hu, Xiangming

doi:10.1016/j.physleta.2006.11.083

Cited by 13 publications

(4 citation statements)

References 43 publications

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“…It is seen that the spectral width increases with increasing | |. For off-resonance condition = =4, in Figure (6 ) the absorption spectra are symmetric with respect to kx=0 and a different sort of the spectra are observed in the positive range of the driving-detuning and the atom localization is predicted for a certain values of , in a similar manner to that for a two level system (Xu and Hu, 2007). As indicated in Equation (19) the position of the peaks can be estimated approximately in the present situation ( = = =0) by:…”

Section: Numerical Results and Discussionsupporting

confidence: 58%

The strength of the atom localization coupling with the standing-wave field under the dephasing rate influence

Abd-Elnabi¹

2013

Int. J. Phys. Sci.

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We investigate the localization of the four-level V-type atom inside a classical standing-wave field through the absorption spectrum of the weak probe field. The expression of the probe absorption spectrum is derived analytically via perturbation treatment of a weak probe field. Numerical results and discussion of the probe susceptibility spectrum behaviour via non-perturbation treatment of the density matrix elements to all orders of fields are obtained. We have shown that the precision of localization of the atom is dependent on the dephasing rates of atomic coherence as well as on some parameters of the driving and standing-wave fields. A strong localization through sharply peak is achieved at a certain value for the dephasing rates in resonance detunings.

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Section: Numerical Results and Discussionsupporting

confidence: 58%

The strength of the atom localization coupling with the standing-wave field under the dephasing rate influence

Abd-Elnabi¹

2013

Int. J. Phys. Sci.

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“…In the last two decades, precise position measurement of the atom has attracted a lot of attention because of its potential application in trapping of neutral atoms in laser cooling 41 and atom nanolithography 42 . Owing to spatially modulated coherence rendered by the standing wave field, a number of works has been proposed on atom localization in 1D [43][44][45][46][47][48][49][50][51][52][53] and 2D [52][53][54][55][56][57][58][59][60][61][62][63][64] , which describe measurement-induced atom localization based on atomic population 45,51,54 , CPT 48 , EIT 61 , interacting dark resonances 49,58 , resonance fluorescence 44,52 , spontaneous emission 46,59 , probe absorption 47,50,53,[55][56][57]60,62,63 and so on. 2D electron localisation has also been investigated by m...…”

mentioning

confidence: 99%

Spatially structured multi-wave-mixing induced nonlinear absorption and gain in a semiconductor quantum well

Panchadhyayee

Dutta²

2022

Sci Rep

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We have studied two-dimensional absorption and gain spectrum in an asymmetric semiconductor triple-coupled-quantum-well (TCQW) nanostructure. Four subband transitions are coupled by using four coherent fields in a close-loop configuration to introduce cross-Kerr effect and four-wave-mixing (FWM) induced nonlinearity in achieving nonlinear absorption and gain profiles. Position-dependent absorption and gain are obtained by applying one, or two coherent fields in a variety of standing wave configurations including superposed field configuration in the standing-wave regime. In addition to the control parameters like Rabi frequency and detuning, the specialty of the model is to employ double-controlled spatial phase-coherence guided by the FWM-induced phase and the phases introduced by the standing wave formation. Our results highlight the high-precision electron localization in spatial domain. The evolution of spatially modulated gain without inversion may be a substitute for obtaining gain from a traditional quantum cascade laser. The importance of the present work is to find its application in designing electro-optic modulators in semiconductor nanostructures in near future.

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“…Different fields of studies like atom nano-lithography 6 , laser cooling and trapping of neutral atoms 7 and Bose-Einstein condensation 8 have been enriched by the versatile applications of atom localization. The pioneering works 2,3,9,10 on atom localization involving energy and phase shifts with spatial variation are followed by studies in one dimension [11][12][13][14][15][16][17][18] , which describe the fundamental aspects of measurement-induced localization of atoms through a variety of atom-field configurations. To be more specific, an interesting property of coherent population trapping (CPT) is exploited in the study of atom localization 14 .…”

mentioning

confidence: 99%

“…High-precision localization exhibited in refs. 15,17 is attributed to the effect of dynamic phase modulation in the pump-probe resonance. The 1D-localization based works mainly highlight effective control and desired manipulation of the localization peaks in sub-wavelength, or sub-half-wavelength domain.…”

mentioning

confidence: 99%

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

Dutta¹,

Panchadhyayee

Bayal³

et al. 2020

Sci Rep

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A new approach for achieving two-dimensional (2D) atom localization microscopy based on the projection of three-dimensional (3D) localization in the plane of the detector is described in the present work. Spatial variation of the position-dependent 2D-localization pattern in the xy-plane is obtained with the shifting of the position of the detector along the z-axis under the parallel-and cross-axis configurations of the standing-wave fields. An attempt is made to study the 2D-localization characteristics in the specific parametric conditions for which the localization structures evolve with different shapes eventually leading to 100% detection probability of the atom both in the subwavelength and sub-half-wavelength regimes. The scope of tuning the cross-axis configuration over a wide range adds novelty and robustness to this model. Apart from the 2D-localization, various localization patterns with eight-to single-peak structures appear as interesting outcomes through the efficient manipulation of control parameters in the study of one-dimensional (1D) atom localization. The application of the traveling-wave field or its equivalent appears to be unique in achieving high-precision localization with maximal probability (100%) in both the 1D and 2D field-configuration schemes. Proper tuning of the traveling wave accompanied by the standing wave in the 1D scheme results in the singlepeak localization in the sub-half-wavelength range. As a whole, the present work seems to be very much efficient for high-precision optical lithography.

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Localization of a two-level atom via the absorption spectrum

Cited by 13 publications

References 43 publications

The strength of the atom localization coupling with the standing-wave field under the dephasing rate influence

The strength of the atom localization coupling with the standing-wave field under the dephasing rate influence

Spatially structured multi-wave-mixing induced nonlinear absorption and gain in a semiconductor quantum well

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

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