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Annual Meeting Optical Society of America

Observation of subnatural fluorescence linewidths due to coherent stabilization of quantum fluctuations

Daniel J. Gauthier, Yifu Zhu, THOMAS W. MOSSBERG

Published Jan 1, 1990• 0 citations
Publisher

Abstract

Recently, Narducci et al.1 studied V-configuration three-level atoms and predicted that quantum fluctuations associated with a "strong" optical transition driven by a coherent field can be stabilized through excitation of a coupled "weak" transition. This stabilization is manifest in a narrowing, to subnatural values, of the fluorescence linewidths associated with the strong transition as the weak transition is driven more and more strongly. We have experimentally investigated this problem and provide the first demonstration of the effect. In the experiment, a beam of Ba atoms was intercepted by two copropagating cw laser beams. One of the beams, of Rabi frequency Ω1, was tuned into resonance with the strong, 553.5 nm, 1S0→3P1 transition, while the other beam, of Rabi frequency Ω2, was tuned into resonance with the weak, 791.1 nm, 1S0→3P1 transition. The fluorescence spectrum of the strong transition was recorded for the case when Ω1≈35 MHz and Q2≈45 MHz and, it was found that the spectrum was three-peaked. Most interestingly, the measured linewidth (FWHM) for the central peak was 16 MHz, or 2 MHz less than the 18 MHz natural width of the strong transition even before the substantial instrumental broadening (≈8 MHz) of the peak was deconvolved.

DOI
10.1364/oam.1990.ws4

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In his original work on the spectrum of resonance fluorescence, Mollow noted that, at weak excitation, one of the three Lorentzian components comprising the incoherent spectrum has negative weight.1 He commented that, as a consequence, for |ω − ω 0 | → ∞ the spectrum falls to zero as (ω − ω0)−4 rather than (ω − ω0)−2. In fact, the incoherent spectrum for weak excitation is a Lorentzian squared rather than a Lorentzian. The half-width is ( 2 − 1 ) 1 / 2 ( γ / 2 ) ≈ 0.64 ( γ / 2 ) , showing significant narrowing over the natural width γ/2. Although this result has been rederived a number of times, nothing appears to have been said about its physical significance. Recently it has been recognized that the fluorescence from a two-level atom exhibits squeezing.2 For weak excitation, photon antibunching in resonance fluorescence results from the self-homodyning of incoherent fluorescence from squeezed polarization fluctuations with coherent Rayleigh scattering. We show that the noted subnatural linewidth is also a manifestation of squeezing. A relationship exists between the incoherent optical spectrum and the spectrum of squeezing. The optical spectrum is formed from the sum of squeezing spectra for field quadratures in phase and out of phase with the Rayleigh scattering. The reduced linewidth results because inphase fluctuations are squeezed and contribute to the incoherent spectrum with negative weight.

Annual Meeting Optical Society of America•Jan 1, 1987•0 citations
Recently, Narducci et al.1 studied V-configuration three-level atoms and predicted that quantum fluctuations associated with a "strong" optical transition driven by a coherent field can be stabilized through excitation of a coupled "weak" transition. This stabilization is manifest in a narrowing, to subnatural values, of the fluorescence linewidths associated with the strong transition as the weak transition is driven more and more strongly. We have experimentally investigated this problem and provide the first demonstration of the effect. In the experiment, a beam of Ba atoms was intercepted by two copropagating cw laser beams. One of the beams, of Rabi frequency Ω1, was tuned into resonance with the strong, 553.5 nm, 1S0→3P1 transition, while the other beam, of Rabi frequency Ω2, was tuned into resonance with the weak, 791.1 nm, 1S0→3P1 transition. The fluorescence spectrum of the strong transition was recorded for the case when Ω1≈35 MHz and Q2≈45 MHz and, it was found that the spectrum was three-peaked. Most interestingly, the measured linewidth (FWHM) for the central peak was 16 MHz, or 2 MHz less than the 18 MHz natural width of the strong transition even before the substantial instrumental broadening (≈8 MHz) of the peak was deconvolved.
The incoherent part of the Mollow spectrum for resonance fluorescence has a subnatural linewidth in the weak-field limit. We show that this is due to squeezing of the fluctuations in the induced atomic dipole. The reduced linewidth persists for driving field intensities of approximately 12% of the saturation intensity, where Rabi sidebands begin to appear. We find a similar linewidth narrowing in the transmitted and fluorescent spectra for a single atom in a weakly driven resonant cavity. In this system single-quantum frequency splitting can produce a two-peaked spectrum. Both peaks have a narrowed linewidth. The spectrum of the transmitted light shows a second nonclassical effect that is due to squeezing. A spectral hole may appear at line center, giving a two-peaked spectrum even when there is no frequency splitting.
We calculate the spontaneous-emission spectrum and the spectrum of weakly driven fluorescence for a two-level atom coupled to a resonant-cavity mode. For strong atom-cavity coupling the spectra split into two peaks that can have subnatural linewidths. If the cavity linewidth is negligible, the spontaneous-emission spectrum has half the radiative linewidth of the atom; the spectrum of weakly driven fluorescence shows an additional 36% squeezing-induced narrowing. These effects can be observed using coupled-field and collective-polarization oscillators excited in a cavity containing N two-level atoms.
The coherent coupling of atomic levels under the action of driving electromagnetic fields is known to create unusual and interesting effects, such as the well-known population trapping phenomenon and subnatural line narrowing. In this paper we discuss two alternative configurations of three-level atoms, the cascade model and the inverted-V (lambda) model, in an effort to provide alternative options for experimental tests. In both cases we focus on the fluorescent emission spectrum of an atom driven by two resonant fields and on the absorption spectrum of a weak probe passing through a gas in such a driven system. Subnatural line narrowing can be obtained from the cascade system but not from the lambda system. The lambda system, however, is characterized by strong population trapping, so that it is not suitable for fluorescence studies (except out of resonance) because of its strongly reduced emission rate. The absorption spectrum of a weak probe displays gain features under high-field conditions which suggest that useful amplification of a probe or laser-like emission should be possible over appropriate frequency ranges. We give a physical interpretation of the origin of the gain and explain why that in the case of a lambda system, but not a cascade system, steady-state population inversion can be obtained between both excited states relative to the lowest state of the atom. We also discuss the effect of Doppler broadening on the predicted emission and absorption lineshapes.
We have measured the emission spectrum of two-level-like Ba atoms driven by a continuous-wave bichromatic field containing a strong resonant component and a weaker component detuned from atomic resonance by the strong-field Rabi frequency. With the specified detuning, the weak field resonantly drives a transition of the atom--strong-field dressed states. Observed spectra show that each peak of the normal (single-driving-field) resonance fluorescence triplet is split into three subpeaks separated by one-half the weak-field Rabi frequency. Also seen is another triplet of peaks displaced from the atomic resonance by twice the strong-field Rabi frequency. Splitting of the normal triplet peaks can be explained through weak-field dressing of the strong-field dressed states. The origin of the additional triplet is less transparent. Comparison with theory is made.
In his original work on the spectrum of resonance fluorescence, Mollow noted that, at weak excitation, one of the three Lorentzian components comprising the incoherent spectrum has negative weight.1 He commented that, as a consequence, for |ω − ω 0 | → ∞ the spectrum falls to zero as (ω − ω0)−4 rather than (ω − ω0)−2. In fact, the incoherent spectrum for weak excitation is a Lorentzian squared rather than a Lorentzian. The half-width is ( 2 − 1 ) 1 / 2 ( γ / 2 ) ≈ 0.64 ( γ / 2 ) , showing significant narrowing over the natural width γ/2. Although this result has been rederived a number of times, nothing appears to have been said about its physical significance. Recently it has been recognized that the fluorescence from a two-level atom exhibits squeezing.2 For weak excitation, photon antibunching in resonance fluorescence results from the self-homodyning of incoherent fluorescence from squeezed polarization fluctuations with coherent Rayleigh scattering. We show that the noted subnatural linewidth is also a manifestation of squeezing. A relationship exists between the incoherent optical spectrum and the spectrum of squeezing. The optical spectrum is formed from the sum of squeezing spectra for field quadratures in phase and out of phase with the Rayleigh scattering. The reduced linewidth results because inphase fluctuations are squeezed and contribute to the incoherent spectrum with negative weight.