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Annual Meeting Optical Society of America

Spectroscopy of dressed-atom states

Daniel J. Gauthier, D. W. Sukow, Hope M. Concannon

Published Jan 1, 1992• 0 citations
Publisher

Abstract

Gain arising from the interaction of intense laser fields and atoms has attracted recent attention because it has been found, for example, that two-photon lasing1 and lasing without inversion2 occurs in these systems. Physical and intuitive models of these interactions can be developed by using the dressed-atom states, which, unfortunately, tend to be difficult to detect directly with high precision. We will report on a new modulation spectroscopy for the quantum limited detection of gain in dressed-atom systems. The spectroscopy involves weak modulation of the dressed-state splitting and lockin detection of the intensity of the probing beam. It differs from classic frequency-modulation spectroscopies in that the probe beam is not modulated before it interacts with the sample of strongly driven atoms and hence does not suffer from the effects of residual amplitude modulation.

DOI
10.1364/oam.1992.ft3

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Gain arising from the interaction of intense laser fields and atoms has attracted recent attention because it has been found, for example, that two-photon lasing1 and lasing without inversion2 occurs in these systems. Physical and intuitive models of these interactions can be developed by using the dressed-atom states, which, unfortunately, tend to be difficult to detect directly with high precision. We will report on a new modulation spectroscopy for the quantum limited detection of gain in dressed-atom systems. The spectroscopy involves weak modulation of the dressed-state splitting and lockin detection of the intensity of the probing beam. It differs from classic frequency-modulation spectroscopies in that the probe beam is not modulated before it interacts with the sample of strongly driven atoms and hence does not suffer from the effects of residual amplitude modulation.
A novel phase-modulation technique which permits subkilohertz-laser stability and new levels of precision in laser spectroscopy was reported recently. For spectroscopy, the basic arrangement consists of a combination of an optical pump and a probe field which is phase modulated. The pump prepares the atomic sample by burning a narrow hole within the atom's inhomogeneous line shape, and the probe beam samples the prepared hole when its modulation sidebands are swept into resonance. Off resonance, the probe is balanced as pairs of sidebands produce heterodyne beat signals of opposite phase which just cancel. On resonance, the balance is upset and yields a nonvanishing beat signal with a Lorentzian absorption or dispersion line shape and with residual noise approaching the shot noise limit. Here we investigate the theory of phase-modulation spectroscopy. We treat the nonlinear response of an atomic two-level quantum system subject to an intense pump and a weak copropagating or counterpropagating phase-modulated probe beam. The density-matrix equations of motion are solved by a Laplace-transform method and by the novel use of a translation operator which allows the infinite hierarchy of coupled equations to close. A solution equivalent to the rate-equation result is developed and coherence corrections are found which predict new resonances that have just been detected in this laboratory. The delayed pump-probe technique encountered in solid-state laser spectroscopy is analyzed in this context for two- and three-level quantum systems. The response of a Fabry-Perot cavity to a phase-modulated light wave is examined also and reveals an unexpected absorption feature.
The perturbation of atomic spectra by strong resonant optical driving fields can be analyzed to provide fundamental information regarding the physics of light–matter interaction. It is now well known that cw driving fields split the resonance fluorescence spectrum into three components and probe spectra (representing, for example, absorption from one terminal level of a strongly driven transition) into two components. These splittings are conveniently explained in terms of transitions between various eigenstates (dressed states1) of the coupled atom-field system.
It is well known that driven two-level atoms can exhibit optical amplification.1 This fact has led to the recent demonstration of single-photon lasing in cell and atomic-beam type ensembles of two-level atoms.2 We show that the same simple two-level system can also be utilized as a two- or more-photon amplifying medium. The underlying physics can be understood in terms of the atom field dressed-state picture. When driven by a field detuned from the atomic resonance, significant population inversion between the dressed-state doublets can be created. In the dressed picture, single-photon lasing occurs between inverted sublevels of adjacent dressed-state doublets. Transitions between nonadjacent doublets are still inverted, but require two or more photons. In the degenerate case, the multiphoton emission frequencies differ from the single-photon emission frequency and can hence be selectively enhanced using an optical cavity. Due to the peculiar structure of dressed levels, the multiphoton emissions are all connected through near resonant intermediate states. The multiphoton emissions can also be viewed as a stimulated hyper-Raman scattering of successively higher order.
We study the operational properties of the lasing field generated from strongly driven two-level atoms in a ring cavity by including the field saturation to all orders. Lasing without inversion between bare atomic states can occur for both off-resonant-- and resonant-pump fields. In the case of an off-resonant--pump field, lasing occurs at one of the Rabi sidebands, for which there exists population inversion between the relevant dressed-atom--field states. In the case of a resonant-pump field, lasing can occur near either of two Rabi sidebands, for which there is no population inversion between the dressed states; here the gain is due to the atomic coherence between the dressed states. While the operation of the off-resonantly--pumped dressed-state laser is similar to that of an ordinary laser, the operation of the resonantly pumped dressed-state laser exhibits some interesting features, such as (1) mode pushing and (2) larger laser intensity coming from smaller linear gain as the detuning is changed. In order to show such features, the calculations have to go beyond the secular approximation.
Atomic clocks are based on highly stable and well-characterized atomic transitions, mak-ing precise control and understanding of systematic frequency shifts essential for improved timekeeping performance. This thesis presents an experimental study of light-induced Stark shifts in rubidium and their impact on precision laser spectroscopy relevant to atomic frequency standards, as well as the effects of residual amplitude modulation on the laser lock point and the resulting sensitivity of both short- and long-term stability. A laser-based spectroscopy system was developed to probe rubidium transitions while enabling controlled variation of optical intensity. The optical beam was experimentally characterized through calculations of beam waist and measurements of power to accurately determine the intensity at the interaction region. Frequency shifts arising from the AC Stark effect were measured as a function of optical power, allowing extraction of the differential polarizability between atomic energy levels using a theoretical model relating energy shifts to electric-field intensity. Uncertainty analysis was performed through systematic propagation of experimental errors associated with beam geometry, optical power calibration, and frequency measurements. In addition, residual amplitude modulation generated by electro-optic phase modulation was investigated as a significant source of systematic error in frequency stabilization systems used in atomic clocks. The magnitude and behavior of RAM were experimentally characterized, and its impact on frequency stability was quantified by measuring the sensitivity of the laser lock point to controlled variations in RAM. Potential mitigation strategies were then explored through active pre-compensation of RAM using an amplitude electro-optic modulator in a closed-loop feedback system.