Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Studies on Electromagnetically Induced Transparency in $\Lambda$-systems in $^{87}Rb$ atom

C. S. Mishra, A. Chakraborty, Ruchi Srivastava, Sanjiv K. Tiwari, Surjya Prakash Ram, Vibhuti Bhushan Tiwari, Satya Ram Mishra

Published May 3, 2017• 0 citations
OpenAlex

Abstract

We have investigated electromagnetically induced transparency (EIT) in two different $\Lambda$-systems in $^{87}Rb$ atom in $D_{2}$ line transitions. It is found that observed EIT signals in both the systems (A) ($|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=1\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle$) and (B) ($|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=2\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle$) have different strength and lineshape which are dependent on coupling beam power. For a given coupling beam power, the EIT signal with $\Lambda$-system (B) has more symmetric lineshape and greater strength than that obtained with system (A). The experimental results are in qualitative agreement with the results of a six-level theoretical model. We have further investigated EIT in both these $\Lambda$-systems in presence of applied longitudinal magnetic field and observed that separation between Zeeman split-EIT peaks increased linearly with the strength of the magnetic field. At a fixed value of applied magnetic field, the strength of Zeeman split-EIT peaks in both the $\Lambda$-systems increases with increase in coupling beam power. In presence of magnetic field and at higher coupling power, the observed EIT signals (central peaks) have higher slope than that of signals obtained in absence of magnetic field. These studies establish that $\Lambda$-system (B) is more useful than $\Lambda$-system (A) from applications point of view.

Related papers

Electromagnetically induced transparency in Λ-systems of 87Rb atom in magnetic field

Charu Mishra, A. Chakraborty, A. Srivastava +4 more

The electromagnetically induced transparency (EIT) observations in two Λ-systems of 87Rb atom, |52S1/2F=1⟩→|52P3/2F′=1⟩←|52S1/2F=2⟩ and |52S1/2F=1⟩→|52P3/2F′=2⟩←|52S1/2F=2⟩ have been investigated in detail and the results are found consistent with our proposed theoretical models. The second Λ-system provides EIT signal with higher magnitude than the first system, both in the absence and in the presence of an applied magnetic field. The observed steeper slope of the EIT signal in the presence of the magnetic field can enable one to achieve tight frequency locking of lasers using these EIT signals.

arXiv:1705.01393•Journal of Modern Optics•Jul 30, 2018•16 citations

Observation of dual electromagnetically induced transparencies in cold $^{87}Rb$ atoms

Mishra, Charu, A. Chakraborty, Surjya Prakash Ram +3 more

We have observed two dual electromagnetically induced transparency (EIT) spectra in probe transmission through cold $^{87}Rb$ atoms trapped in a magneto-optical trap (MOT). These dual EIT peaks are generated in two different N-systems formed by probe, coupling and control beams interacting with different levels in $D_{2}$ line transitions of $^{87}Rb$ atom. The dependence of spectral features of two N-systems on driving beams (\textit{i.e.} coupling and control beams) strength and detuning has been investigated. The results show that the dual EIT spectral features in both the N-systems can be manipulated by varying the strength and detuning of both the driving beams. The two N-systems have been modelled theoretically using a density matrix formalism and results have shown a reasonable agreement with the experimental observations.

arXiv:1901.01582•Jan 6, 2019•0 citations

Splitting of an electromagnetically induced transparency window of rubidium atoms in a static magnetic field

Xiaogang Wei, Jin‐Hui Wu, Gui-Xia Sun +4 more

We study the phenomenon of electromagnetically induced transparency (EIT) of $^{87}\mathrm{Rb}$ vapor at the temperature of $325\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ in a magnetic field. Two linearly polarized orthogonal laser fields act on two dipole-allowed transitions of the $D1$ line of $^{87}\mathrm{Rb}$ in the $\ensuremath{\Lambda}$ configuration, respectively. In the absence of magnetic fields, we observe a wide EIT window with the contrast of about 66% while when the magnetic field is applied, the wide EIT window is split into three or four narrower subwindows with contrasts of 32% or 16% due to the lifting of magnetic sublevels' degeneracy. The number of EIT subwindows depends on the magnetic field orientation. Our theoretical simulations and analysis are in good agreement with the experimental results.

Physical Review A•Aug 8, 2005•51 citations

Observation of transient electromagnetically induced transparency in a rubidium Λ system

H.X. Chen, Alan V. Durrant, J. P. Marangos +1 more

Observation of transient effects in electromagnetically induced transparency (EIT) is reported in ${\mathrm{Rb}}^{85}$ cooled in a magneto-optical trap. The transmission of a weak probe beam in resonance with the ${5S}_{1/2}(F=3)$ to ${5P}_{3/2}(F=3)$ hyperfine transition increased transiently when a relatively strong coupling field in resonance with the ${5S}_{1/2}(F=2)$ to ${5P}_{3/2}(F=3)$ hyperfine transition was switched on rapidly using a Pockels cell. The probe transient showed an initial Rabi half-cycle overshoot before settling down to steady-state EIT. The results agreed well with computations using a three-state model of the \ensuremath{\Lambda} system. The computations also suggest that transient gain should be observed with coupling field power only four times larger than that presently available to us.

Physical Review A•Aug 1, 1998•57 citations

Vector magnetometry using electromagnetically induced transparency with $lin\perp lin$ polarization

Bankim Chandra Das, Arpita Das, Dipankar Bhattacharyya +1 more

Vector magnetometry was studied using the electromagnetically induced transparency (EIT) with linear $\perp$ linear ($lin \perp lin$) polarization of the probe and the pump beams in $^{87}Rb$ - $D_2$ transition. The dependence of the EIT on the direction of the quantization axis and the relative orientation of the polarization of the applied electric fields was studied experimentally. We have shown that from the relative strengths of the $σ$ and $π$ EIT peaks, the direction of the magnetic field can be found. Moreover from the relative separation between the $σ$ and $π$ EIT peaks, the strengths of the magnetic field can be calculated. We have also demonstrated that the EIT peak amplitudes show oscillatory behaviour depending upon the orientation of the laser polarization relative to the magnetic field direction. Using the positions of the maxima and minima, the direction of the magnetic field can be calculated. To understand the experimental observation, a theoretical study has been done numerically considering all the thirteen Zeeman sub-levels. Apart from the numerical model, a toy model has also been considered to obtain an analytical response of the medium considering the velocity distribution. The dependencies of the magnetic field direction and the polarization direction of the electric fields have been explicitly derived in the analytical model. Further the direction of the magnetic field is calculated using the analytical solution. This study can be helpful in order to make an EIT based atomic vector magnetometer at room temperature.

arXiv:1907.00756•Jul 1, 2019•0 citations

On electromagnetically induced transparency in N-systems in cold 87 Rb atoms

Charu Mishra, A. Chakraborty, Surjya Prakash Ram +3 more

Abstract We have investigated two N-systems in D 2 line transition of 87 Rb atoms theoretically and experimentally. The study has been carried out with cold 87 Rb atoms trapped in a magneto-optical trap. Each N-system has shown dual electromagnetically induced transparency (EIT) structure in probe transmission, which is qualitatively explained using dressed-state picture. The dependence of spectral features of N-systems on coupling and control beams strength and detuning has been investigated. The results show that the dual EIT spectral features in both the N-systems can be manipulated by varying the strength and detuning of coupling and control beams. The numerical modeling of the systems using density matrix formalism also explains the experimentally observed results.

Journal of Physics B Atomic Molecular and Optical Physics•Oct 21, 2019•0 citations
Studies on Electromagnetically Induced Transparency in Λ\LambdaΛ-systems in 87Rb^{87}Rb87Rb atom
We have investigated electromagnetically induced transparency (EIT) in two different Λ\LambdaΛ-systems in 87Rb^{87}Rb87Rb atom in D2D_{2}D2​ line transitions. It is found that observed EIT signals in both the systems (A) (∣52S1/2F=1⟩→∣52P3/2F′=1⟩←∣52S1/2F=2⟩|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=1\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle∣52S1/2​F=1⟩→∣52P3/2​F′=1⟩←∣52S1/2​F=2⟩) and (B) (∣52S1/2F=1⟩→∣52P3/2F′=2⟩←∣52S1/2F=2⟩|5^{2}S_{1/2} F=1\rangle \rightarrow |5^{2}P_{3/2} F'=2\rangle \leftarrow |5^{2}S_{1/2} F=2\rangle∣52S1/2​F=1⟩→∣52P3/2​F′=2⟩←∣52S1/2​F=2⟩) have different strength and lineshape which are dependent on coupling beam power. For a given coupling beam power, the EIT signal with Λ\LambdaΛ-system (B) has more symmetric lineshape and greater strength than that obtained with system (A). The experimental results are in qualitative agreement with the results of a six-level theoretical model. We have further investigated EIT in both these Λ\LambdaΛ-systems in presence of applied longitudinal magnetic field and observed that separation between Zeeman split-EIT peaks increased linearly with the strength of the magnetic field. At a fixed value of applied magnetic field, the strength of Zeeman split-EIT peaks in both the Λ\LambdaΛ-systems increases with increase in coupling beam power. In presence of magnetic field and at higher coupling power, the observed EIT signals (central peaks) have higher slope than that of signals obtained in absence of magnetic field. These studies establish that Λ\LambdaΛ-system (B) is more useful than Λ\LambdaΛ-system (A) from applications point of view.
The electromagnetically induced transparency (EIT) observations in two Λ-systems of 87Rb atom, |52S1/2F=1⟩→|52P3/2F′=1⟩←|52S1/2F=2⟩ and |52S1/2F=1⟩→|52P3/2F′=2⟩←|52S1/2F=2⟩ have been investigated in detail and the results are found consistent with our proposed theoretical models. The second Λ-system provides EIT signal with higher magnitude than the first system, both in the absence and in the presence of an applied magnetic field. The observed steeper slope of the EIT signal in the presence of the magnetic field can enable one to achieve tight frequency locking of lasers using these EIT signals.
Observation of dual electromagnetically induced transparencies in cold 87Rb^{87}Rb87Rb atoms
We have observed two dual electromagnetically induced transparency (EIT) spectra in probe transmission through cold 87Rb^{87}Rb87Rb atoms trapped in a magneto-optical trap (MOT). These dual EIT peaks are generated in two different N-systems formed by probe, coupling and control beams interacting with different levels in D2D_{2}D2​ line transitions of 87Rb^{87}Rb87Rb atom. The dependence of spectral features of two N-systems on driving beams (\textit{i.e.} coupling and control beams) strength and detuning has been investigated. The results show that the dual EIT spectral features in both the N-systems can be manipulated by varying the strength and detuning of both the driving beams. The two N-systems have been modelled theoretically using a density matrix formalism and results have shown a reasonable agreement with the experimental observations.
We study the phenomenon of electromagnetically induced transparency (EIT) of 87Rb^{87}\mathrm{Rb}87Rb vapor at the temperature of 325K325\phantom{\rule{0.3em}{0ex}}\mathrm{K}325K in a magnetic field. Two linearly polarized orthogonal laser fields act on two dipole-allowed transitions of the D1D1D1 line of 87Rb^{87}\mathrm{Rb}87Rb in the $\ensuremath{\Lambda}$ configuration, respectively. In the absence of magnetic fields, we observe a wide EIT window with the contrast of about 66% while when the magnetic field is applied, the wide EIT window is split into three or four narrower subwindows with contrasts of 32% or 16% due to the lifting of magnetic sublevels' degeneracy. The number of EIT subwindows depends on the magnetic field orientation. Our theoretical simulations and analysis are in good agreement with the experimental results.
Observation of transient effects in electromagnetically induced transparency (EIT) is reported in Rb85{\mathrm{Rb}}^{85}Rb85 cooled in a magneto-optical trap. The transmission of a weak probe beam in resonance with the 5S1/2(F=3){5S}_{1/2}(F=3)5S1/2​(F=3) to 5P3/2(F=3){5P}_{3/2}(F=3)5P3/2​(F=3) hyperfine transition increased transiently when a relatively strong coupling field in resonance with the 5S1/2(F=2){5S}_{1/2}(F=2)5S1/2​(F=2) to 5P3/2(F=3){5P}_{3/2}(F=3)5P3/2​(F=3) hyperfine transition was switched on rapidly using a Pockels cell. The probe transient showed an initial Rabi half-cycle overshoot before settling down to steady-state EIT. The results agreed well with computations using a three-state model of the \ensuremath{\Lambda} system. The computations also suggest that transient gain should be observed with coupling field power only four times larger than that presently available to us.
Vector magnetometry using electromagnetically induced transparency with lin⊥linlin\perp linlin⊥lin polarization
Vector magnetometry was studied using the electromagnetically induced transparency (EIT) with linear ⊥\perp⊥ linear (lin⊥linlin \perp linlin⊥lin) polarization of the probe and the pump beams in 87Rb^{87}Rb87Rb - D2D_2D2​ transition. The dependence of the EIT on the direction of the quantization axis and the relative orientation of the polarization of the applied electric fields was studied experimentally. We have shown that from the relative strengths of the σσσ and πππ EIT peaks, the direction of the magnetic field can be found. Moreover from the relative separation between the σσσ and πππ EIT peaks, the strengths of the magnetic field can be calculated. We have also demonstrated that the EIT peak amplitudes show oscillatory behaviour depending upon the orientation of the laser polarization relative to the magnetic field direction. Using the positions of the maxima and minima, the direction of the magnetic field can be calculated. To understand the experimental observation, a theoretical study has been done numerically considering all the thirteen Zeeman sub-levels. Apart from the numerical model, a toy model has also been considered to obtain an analytical response of the medium considering the velocity distribution. The dependencies of the magnetic field direction and the polarization direction of the electric fields have been explicitly derived in the analytical model. Further the direction of the magnetic field is calculated using the analytical solution. This study can be helpful in order to make an EIT based atomic vector magnetometer at room temperature.
Abstract We have investigated two N-systems in D 2 line transition of 87 Rb atoms theoretically and experimentally. The study has been carried out with cold 87 Rb atoms trapped in a magneto-optical trap. Each N-system has shown dual electromagnetically induced transparency (EIT) structure in probe transmission, which is qualitatively explained using dressed-state picture. The dependence of spectral features of N-systems on coupling and control beams strength and detuning has been investigated. The results show that the dual EIT spectral features in both the N-systems can be manipulated by varying the strength and detuning of coupling and control beams. The numerical modeling of the systems using density matrix formalism also explains the experimentally observed results.