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Conference on Lasers and Electro-Optics

Transient studies of transparency and gain in laser-cooled rubidium lambda systems

S.R. de Echaniz, Andrew D. Greentree, Alan V. Durrant, J. P. Marangos, D. M. Segal, Joan A. Vaccaro

Published Aug 29, 2005• 0 citations
Publisher

Abstract

Summary form only given. Many studies have been made of electromagnetically induced transparency (EIT) and probe gain under steady-state conditions. We have carried out experimental studies of transient effects in rubidium lambda systems in the non-adiabatic regime where the coupling field is rapidly switched on using a Pockels cell in a time that is short compared with transient time scales. Our preliminary work has confirmed predictions that the steady-state EIT is approached through damped oscillations characterised by the coupling field Rabi frequency /spl Omega//sub c/ and the spontaneous decay rate /spl Gamma/. We report results of our recent investigations into the effects of strong coupling fields conducted in several different lambda schemes in the rubidium 5S/sub 1/2/-5P/sub 3/2/ hyperfine levels in a magnetooptical trap. We also studied the effects of the initial conditions of population and optical coherence, probe absorption on uncoupled Zeeman transitions, and incoherent pumping.

DOI
10.1109/iqec.2000.908044

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Summary form only given. Many studies have been made of electromagnetically induced transparency (EIT) and probe gain under steady-state conditions. We have carried out experimental studies of transient effects in rubidium lambda systems in the non-adiabatic regime where the coupling field is rapidly switched on using a Pockels cell in a time that is short compared with transient time scales. Our preliminary work has confirmed predictions that the steady-state EIT is approached through damped oscillations characterised by the coupling field Rabi frequency /spl Omega//sub c/ and the spontaneous decay rate /spl Gamma/. We report results of our recent investigations into the effects of strong coupling fields conducted in several different lambda schemes in the rubidium 5S/sub 1/2/-5P/sub 3/2/ hyperfine levels in a magnetooptical trap. We also studied the effects of the initial conditions of population and optical coherence, probe absorption on uncoupled Zeeman transitions, and incoherent pumping.
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.
This thesis presents developmental work on the existing magneto-optical trap (MOT) system and novel studies of coherence effects. The developmental work was carried out on the experimental apparatus used previously in this laboratory in order to perform experiments to study coherence effects in three- and four-level rubidium systems in the MOT. This developmental work includes the upgrading and installation of new laser systems, the improvement of the MOT, the installation of data acquisition hardware and software, and the commissioning of a new “second generation” MOT. As part of our studies of coherence effects, we present a wide-ranging theoretical and experimental study of non-adiabatic transient phenomena in a A system which exhibits electromagnetically induced transparency when a strong coupling field is rapidly switched on or off using a Pockels cell. The theoretical treatment uses a Laplace transform approach as well as standard numerical methods to solve the time-dependent density matrix equation. The results show clear Rabi oscillations and transient gain without population inversion of a weak probe in parameter regions not previously studied, and provide insight into the transition dynamics between bare states and dressed states. Experimental studies of a doubly driven V system are also reported, together with a theoretical dressed-state analysis of such systems. The expected three-peak spectrum is explored for various coupling field strengths and detunings. In all this work we have found good agreement between the theory and the experimental spectra once light shifts and uncoupled absorption in the rubidium system are taken into account.
We report the experimental observation of transient dynamics in the weak probe coherence under electromagnetically induced transparency (EIT) in hot Rb atoms with a buffer gas. By modulating the control beam in a non-adiabatic fashion, we have examined the corresponding changes in probe transparency. Upon switching the control beam on, the system evolves through multiple dynamical processes before reaching steady-state transparency. We have decoded each of those dynamical processes region by region and notably observed two-photon damped Rabi oscillations, Raman gain, and direct dark state rotation during this evolution. For the theoretical insight, we have numerically solved the time-dependent density matrix elements for a Λ system, incorporating the buffer gas effects phenomenologically into these equations. Our findings provide a detailed understanding of transient and steady-state dynamics in EIT systems, highlighting the interplay between coherent and incoherent processes and the role of the buffer gas in modulating the evolution. The buffer medium extended relevant timescales, thus enhancing the coherence and stability of the atomic system, which are key factors for practical implementations in precision metrology and quantum optics.
Laser spectroscopy experiments are reported on rubidium atoms by using two or three external cavity diode lasers to study multiple resonance transitions in Λ- and V-type systems as well as on (Λ+V)-type system. Electromagnetically induced transparency (EIT) peaks having sub-natural line-widths are found on the Doppler broadened transmission backgrounds with velocity selective enhanced absorption dips. In the presence of a pump laser, probe spectrum shows enhancement of EIT signal by tuning the control laser frequency when the Λ- and V-type EIT signals are made to overlap. Theoretical analysis is carried out by solving the optical Bloch equations for five-level atomic model under Λ configuration. With the numerically simulated spectra, variation of EIT transmission peak with ground state decay rate and excited state spontaneous decay rate are investigated. Effect of pump Rabi frequency on the transmission peak is also shown.
Summary form only given. In the D/sub 1/ transition in the isotope 87 rubidium atom with no magnetic field present, electromagnetically induced transparency (EIT) can occur due to destructive quantum interference in the lambda transition between the two ground hyperfine states, |F=1, m/sub F/=+1), |F=1, m/sub F/=1), and the single electronically excited hyperfine state |F'=1, m/sub F/=0), when an elliptically polarized laser beam propagates through a rubidium vapor cell. The stronger circularly polarized /spl sigma//sup +/ component of this light beam, which connects the ground hyperfine state |F=1, m/sub F/=1) to the excited hyperfine state, can be considered as the "coupling" laser, and the weaker circularly polarized /spl sigma/ component, which connects the ground hyperfine state |F=1, m/sub F/=+1) to the excited hyperfine state, can be considered as the "probe" laser. An adiabatic increment in the probe laser intensity (with the coupling laser intensity held fixed) causes an adiabatic population transfer between the two ground hyperfine states. As pointed out by Imamoglu et al., if a fourth nearby level is added to this three-level lambda scheme, two new resonantly-enhanced effects can be produced, i.e., a Kerr effect and a two-photon absorption effect.