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Physical Review A

Gain and coherence effects induced by strong cw-laser coupling in potassium–rare-gas mixtures

Jeffrey A. Kleinfeld, Alan D. Streater

Published Mar 1, 1996• 20 citations
Publisher

Abstract

We describe theoretical and experimental investigations of steady-state gain without population inversion that can occur on the ${\mathit{D}}_{1}$ transition of potassium, upon strong cw-laser excitation of the ${\mathit{D}}_{2}$ transition. A Raman-driven four-level model, in which a noninverted population in the 4${\mathrm{}}^{2}$${\mathit{P}}_{1/2}$ level is established via collisional transfer from the 4${\mathrm{}}^{2}$${\mathit{P}}_{3/2}$ level, is in good qualitative agreement with a variety of experimental results. These results include, among other studies, an examination of the impact of coherence dephasing on the realizable gain, as well as measurements of atomic energy-level populations for a case of line-center pumping that clearly displays gain. The measured relative populations for this case are n(4${\mathit{P}}_{1/2}$)/${\mathit{n}}_{\mathrm{total}}$=0.098\ifmmode\pm\else\textpm\fi{}0.034 and n(4${\mathit{P}}_{3/2}$)/${\mathit{n}}_{\mathrm{total}}$=0.19\ifmmode\pm\else\textpm\fi{}0.08, where ${\mathit{n}}_{\mathrm{total}}$ is the total population. These measurements indicate that the probed level 4${\mathit{P}}_{1/2}$ population is not inverted with respect to the ground state. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physreva.53.1839

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We describe theoretical and experimental investigations of steady-state gain without population inversion that can occur on the D1{\mathit{D}}_{1}D1​ transition of potassium, upon strong cw-laser excitation of the D2{\mathit{D}}_{2}D2​ transition. A Raman-driven four-level model, in which a noninverted population in the 4{\mathrm{}}^{2}$${\mathit{P}}_{1/2} level is established via collisional transfer from the 4{\mathrm{}}^{2}$${\mathit{P}}_{3/2} level, is in good qualitative agreement with a variety of experimental results. These results include, among other studies, an examination of the impact of coherence dephasing on the realizable gain, as well as measurements of atomic energy-level populations for a case of line-center pumping that clearly displays gain. The measured relative populations for this case are n(4P1/2{\mathit{P}}_{1/2}P1/2​)/ntotal{\mathit{n}}_{\mathrm{total}}ntotal​=0.098\ifmmode\pm\else\textpm\fi{}0.034 and n(4P3/2{\mathit{P}}_{3/2}P3/2​)/ntotal{\mathit{n}}_{\mathrm{total}}ntotal​=0.19\ifmmode\pm\else\textpm\fi{}0.08, where ntotal{\mathit{n}}_{\mathrm{total}}ntotal​ is the total population. These measurements indicate that the probed level 4P1/2{\mathit{P}}_{1/2}P1/2​ population is not inverted with respect to the ground state. \textcopyright{} 1996 The American Physical Society.
We report steady-state gain due to coherence effects in a potassium-helium mixture, for strong pumping near the D2{\mathit{D}}_{2}D2​ line and probing near the D1{\mathit{D}}_{1}D1​ line. The absorption-gain spectra are in good agreement with a four-level Raman-driven, lasing with inversion model, where collisional transfer populates the probed excited state. Using parameters corresponding to the experimental conditions, the model predicts gain without bare-state population inversion by a large margin.
Measurements of stimulated Raman gain in rubidium vapor are made and compared with a detailed model. Amplification of a weak probe laser is observed in a \ensuremath{\Lambda}-type three-level system that is driven by a strong cw coupling laser. The intensity of the coupling laser is sufficiently strong that it both optically pumps the atomic levels, causing a population inversion in the ground-state hyperfine levels, and drives the stimulated Raman process producing gain. A theory that models all aspects of the gain mechanism is presented. The model includes all interactions between the external fields and the atomic transitions, including those processes that involve multiple fields interacting with the same transition. Numerical calculations are compared with gain measurements made at several coupling laser intensities and detunings from the D1D1D1 line in 85Rb.{}^{85}\mathrm{Rb}.85Rb.
We consider a four-level atomic system with a degenerate or quasidegenerate ground-state doublet and two excited states. One of the upper levels is coupled to the ground doublet by a coherent field of variable strength, which we refer to as the Raman field, whose role is to create atomic coherence between the driven atomic states. The other higher lying state is coupled to the ground states when laser action develops. This model includes an incoherent pump mechanism to create some population in the top lasing state. In appropriate conditions, for the incoherent pump rate and the Raman field strength, the absorption profile of the laser transition develops gain features. We discuss the physical origin of this gain which we find to be the consequence of a population inversion between dressed atomic states. It is interesting to compare the results of this analysis with a similar study of a three-level lambda system which was previously recognized to yield lasing without inversion.1 In this case the appearance of gain can be attributed to the induced atomic coherence.
Continuous-wave (cw) optical gain of $1.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}2} {\mathrm{cm}}^{\ensuremath{-}1}$ is obtained on a probe transition in a driven, three-level, V-type atomic system. The atoms exhibit no population inversion between the probe excited state and the dressed ground states of the combined atom-drive Hamiltonian. This gain without population inversion is interpreted as direct evidence of quantum interference, arising from coherences established in the atom by the applied optical fields. Agreement with a simple four-level theoretical model is excellent.
The emergence of laser action from an atomic system without population inversion is beginning to attract theoretical and experimental attention as a possible way of generating useful coherent radiation at unusual wavelengths. The goal of this communication is to clarify the physical origin of this phenomenon using a four-level system whose ground state consists of two quasidegenerate levels that are coupled to a higher-lying state by a Raman-like transition. In the presence of the ground-state coherence induced by the Raman field, we calculate the absorption spectrum of a weak probe whose tunable frequency scans across the transition frequencies between the two ground-state levels and another higher-lying state that may or may not be weakly excited by an incoherent pump mechanism. Our calculation, based on a dressed atomic state approach, clarifies the conditions that must be satisfied to produce gain, identifies the frequency (or frequencies) at which the gain is maximum, and elucidates the functions of the incoherent pump, the Raman field, and the coherence between the ground-state levels in this process. An appropriate set of Maxwell- Bloch equations for a ring-cavity model of this system confirms the appearance of laser action when the small-signal gain conditions are satisfied.
Abstract In this work, experimental studies on the effect of dephasing on modulation transfer are reported. Here Potassium D1 transition, i.e., 39K 4S1/2(F) → 4P1/2(F/), is used as the medium. The 4 S→4P connection is modified by introducing two independent lasers. The separation between ground hyperfine states 4S1/2(F = 2,1) is almost half of Doppler width (~ 815 MHz). Hence, the two-level connections satisfied by respective lasers are overlapping in nature. In such cases, the existing optical pumping for particular F = 1, 2→ F/ channel influences each other. Further, the D1 transition itself is an open transition, i.e., it does not have any cyclic decay route. Hence, decay from each of the F/=2,1 states can also influence the population in the other F/state. Our pump-probe spectroscopy results clearly show the presence of Four Wave Mixing due to degenerate two-level and Vee (V) coupling, Electromagnetically Induced Transparency (EIT) signals due to single Lambda (Λ) and Double Λ connections. We have studied these signals as a function of dephasing, which is mainly contributed by transit time broadening for two different regimes of pump laser intensities: (i) below and (ii) above saturation intensity level of 4S1/2(F) → 4P1/2(F/) transition. The pump laser is current modulated, and phase-sensitive detection is performed on the probe transmission to study modulation transfer under different values of coherent dephasing. For this purpose, the beam size of the pump laser is varied systematically. This study provides a scope to explore the modulation transfer as a function of transit time broadening, and it may find applications in photonics technology where potassium vapor is used as a medium.