Sub-Doppler DAVLL spectra of the D1 line of rubidium: a theoretical and experimental study

Abstract

We present a comprehensive theoretical and experimental study of the lineshape in sub-Doppler dichroic atomic vapor laser lock (DAVLL) spectroscopy of the D1 transition lines of 87Rb and 85Rb atoms. By calculating sub-Doppler DAVLL spectra with both density matrix equations and rate equations, we found that the coherence effect is significantly dependent on the branching ratios of the transition lines. In addition, we investigated the dependence of the amplitude and slope of the spectra on the applied magnetic field and pump beam power, and found good agreement with the results calculated from the rate equations.

Effects of neighboring transitions on the mechanisms of electromagnetically induced absorption and transparency in an open degenerate multilevel system

“…Because the direction of the electric field of the coupling beam is selected as the quantization axis, and in Eq. ( 3 ), where is the normalized transition strength between states and 22 , and is the difference between the detunings of the probe and coupling beams. In Eq.…”

Unravelling the Mechanisms of Electromagnetically Induced Absorption and Transparency in Open Degenerate Multilevel System: Effects of Neighboring Transitions

“…As reported previously [21][22][23][24][25] , the density matrix elements are decomposed into various oscillation components. In the case of orthogonal linear polarization configuration, the coupling and probe beams excite the transitions with ∆m = 0 and ∆m = ±1, respectively, where ∆m is the difference in the magnetic quantum numbers between the sublevels under consideration.…”

“…In this section, we describe a method of calculating the EIA spectra while considering the neighboring effect. As the details of the calculation have been reported previously [21][22][23][24][25] , we briefly present the method of calculation. The energy-level diagram of D2 transition line of 85 Rb atoms is presented in Fig.…”

Theoretical and Experimental Study of Optimization of Polarization Spectroscopy for the D2 Closed Transition Line of 87Rb Atoms

“…As will be seen later, the calculations without considering the coherence terms failed to predict the experimental results because a relatively strong pump beam was used in the experiment. An accurate analytical calculation for the PS for the F g = 0 → F e = 1 transition was reported [29], and accurate numerical calculations of the sub-Doppler DAVLL [12,13] and polarization rotation were also recently reported [30].…”

“…Many atomic, molecular, and optical physicists use laser spectroscopy to stabilize the laser frequency in their studies concerning laser cooling and the trapping of neutralatoms and ions, metrology, atomic clock, quantum simulation with ultracold atoms, etc. The most commonly used laser spectroscopic systems are saturated absorption spectroscopy (SAS) [1][2][3][4], polarization spectroscopy (PS) [5][6][7], dichroic atomic vapor laser lock (DAVLL) [8,9], sub-Doppler DAVLL [10][11][12][13], modulation transfer spectroscopy (MTS) [14][15][16], and frequency modulation spectroscopy (FMS) [17][18][19]; of these, PS can directly obtain a dispersive-like signal through the differential signal of a photodetector. It is the most inexpensive spectroscopic system that can be used for laser frequency stabilization because it requires fewer electronics.…”