Erratum: Enhanced four-wave mixing via elimination of inhomogeneous broadening by coherent driving of quantum transitions with control fields [Phys. Rev. A<b>62</b>, 025801 (2000)]

Popov, A. K.; Bayev, Alexander S.

doi:10.1103/physreva.62.069901

Cited by 4 publications

(6 citation statements)

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“…Compensation of the Doppler shifts with light shifts was proposed in [28,31,32]. Opportunities for great enhancement of various optical processes with this effect were recently investigated in more detail in [33,34,35,36,37]. We shall illustrate the above considered effects with numerical simulations applied to the experimental scheme described in Sec.…”

Section: Nonlinear Interference Effects In Absorption and Amplifimentioning

confidence: 99%

Nonlinear interference effects and all-optical switching in optically dense inhomogeneously broadened media

2005

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Manipulative resonant nonlinear optics: nonlinear interference effects and quantum control of nonlinearity, dispersion, transparency and inversionless amplification in an extended strongly-absorbing inhomogeneously-broadened medium Specific features of nonlinear interference processes at quantum transitions in near-and fullyresonant optically-dense Doppler-broadened medium are studied. The feasibility of overcoming of the fundamental limitation on a velocity-interval of resonantly coupled molecules imposed by the Doppler effect is shown based on quantum coherence. This increases the efficiency of nonlinearoptical processes in atomic and molecular gases that possess the most narrow and strongest resonances. The possibility of all-optical switching of the medium to opaque or, alternatively, to absolutely transparent, or even to strongly-amplifying states is explored, which is controlled by a small variation of two driving radiations. The required intensities of the control fields are shown to be typical for cw lasers. These effects are associated with four-wave mixing accompanied by Stokes gain and by their interference in fully-and near-resonant optically-dense far-from-degenerate double-Lambda medium. Optimum conditions for inversionless amplification of short-wavelength radiation above the oscillation threshold at the expense of the longer-wavelength control fields, as well as for Raman gain of the generated idle infrared radiation, are investigated. The outcomes are illustrated with numerical simulations applied to sodium dimer vapor. Similar schemes can be realized in doped solids and in fiber optics.

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Section: Nonlinear Interference Effects In Absorption and Amplifimentioning

confidence: 99%

Nonlinear interference effects and all-optical switching in optically dense inhomogeneously broadened media

2005

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“…The technique, allowing one to overcome this obstacle by compensating for Doppler frequency shifts with light-induced ac-Stark shifts and thus enabling one to couple a wide velocity interval concurrently, has been proposed in [5]. This was developed in further publications [6] and most recently in publications [7] addressing FWM under conditions where CPT is not possible. Related effects in the absorption index were also investigated recently [8].…”

Section: Introductionmentioning

confidence: 99%

“…The graphs presented below are computed numerically based on averages over the velocity equations (5), (6) and (7). For the numerical analysis we have used the parameters of the sodium dimer transition with the following wavelengths [10]: (8) is not valid.…”

Section: Numerical Analysismentioning

confidence: 99%

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Four-wave mixing at maximum coherence and eliminated Doppler broadening controlled with the driving fields

et al. 2000

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Abstract. New feasibity of coherent quantum control of four-wave mixing processes in a resonant Doppler-broadened medium are studied. We propose a technique which enables one to enhance the quantum efficiency of nonlinear optical conversion. At the same time, it allows one to decrease the required intensities of the fundamental beams compared to those necessary in the approach based on coherent population trapping. The major outcomes of the analysis are illustrated with numerical simulation addressed within a practical medium.

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“…For instance, the coherence time of collective excitations in atomic gasses is often limited by Doppler dephasing, hindering the performance of single-photon sources and memories [7][8][9]. As Doppler broadening is an inhomogeneous dephasing mechanism, one can potentially counteract it by introducing additional velocitydependent shifts [10][11][12][13][14]. Here we study the counteraction of Doppler broadening by velocity dependent lightshifts and identify an important class of systems where such counteraction occurs naturally, without a need for additional auxiliary fields.…”

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Power narrowing: counteracting Doppler broadening in two-color transitions

et al. 2019

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Doppler broadening in thermal ensembles degrades the absorption cross-section and the coherence time of collective excitations. In two photon transitions, it is common to assume that this problem becomes worse with larger wavelength mismatch. Here we identify an opposite mechanism, where such wavelength mismatch leads to cancellation of Doppler broadening via the counteracting effects of velocity-dependent light-shifts and Doppler shifts. We show that this effect is general, common to both absorption and transparency resonances, and favorably scales with wavelength mismatch. We experimentally confirm the enhancement of transitions for different low-lying orbitals in rubidium atoms and use calculations to extrapolate to high-lying Rydberg orbitals. These calculations predict a dramatic enhancement of up to 20-fold increase in absorption, even in the presence of large homogeneous broadening. More general configurations, where an auxiliary dressing field is used to counteract Doppler broadening, are also discussed and experimentally demonstrated. The mechanism we study can be applied as well for rephasing of spin waves and increasing the coherence time of quantum memories. Doppler broadening is ubiquitous in atomic and molecular spectroscopy. Atoms and molecules with different thermal velocities experience different Doppler shifts, which broaden the absorption lines and reduce their contrast [1]. Increasing the light intensity typically causes further broadening due to saturation or other powerbroadening mechanisms, such as inhomogeneous light-shifts. These broadening or dephasing mechanisms are major limiting factors, particularly in the field of quantum optics with atomic ensembles [2][3][4][5][6]. For instance, the coherence time of collective excitations in atomic gasses is often limited by Doppler dephasing, hindering the performance of single-photon sources and memories [7-9]. As Doppler broadening is an inhomogeneous dephasing mechanism, one can potentially counteract it by introducing additional velocity-dependent shifts [10][11][12][13][14]. Here we study the counteraction of Doppler broadening by velocity dependent light-shifts and identify an important class of systems where such counteraction occurs naturally, without a need for additional auxiliary fields.Coherent two-photon processes, such as Raman transitions, two-photon absorption, and electromagnetically induced transparency (EIT), are at the heart of many quantum-optics protocols, ranging from quantum light sources and memories [15][16][17][18] to sensing and quantum nonlinear optics [19]. The canonical example of a three-level system employed for these processes is the Λ configuration, where two longlived ground states are coupled via an intermediate excited state. In these systems, two-photon transitions are usually characterized by negligible residual Doppler broadening, as the nearly-degenerate transition wavelengths experience opposite Doppler shifts [20]. Particularly in a degenerate Λ system under EIT conditions, atoms at all velocities cont...

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Erratum: Enhanced four-wave mixing via elimination of inhomogeneous broadening by coherent driving of quantum transitions with control fields [Phys. Rev. A62, 025801 (2000)]

Cited by 4 publications

References 0 publications

Nonlinear interference effects and all-optical switching in optically dense inhomogeneously broadened media

Nonlinear interference effects and all-optical switching in optically dense inhomogeneously broadened media

Four-wave mixing at maximum coherence and eliminated Doppler broadening controlled with the driving fields

Power narrowing: counteracting Doppler broadening in two-color transitions

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