Physical Review Letters

Observation of Population Inversion by Optical Adiabatic Rapid Passage

M. M. T. Loy

Published Apr 15, 1974• 235 citations

Abstract

I report the observation of population inversion by optical adiabatic rapid passage. These observations, on an ${\mathrm{NH}}_{3}$ infrared transition with all the relevant parameters known, agree with theoretical expectations. The pressure dependence of ${T}_{1}$, obtained by this technique, makes possible the first estimate of the collision-induced rotational lifetime of ${\mathrm{NH}}_{3}$ in an excited band, which is significantly longer than the rotational lifetime in the ground vibrational band.

DOI: 10.1103/physrevlett.32.814

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Physical Review Letters

Observation of Population Inversion by Optical Adiabatic Rapid Passage

M. M. T. Loy

Published Apr 15, 1974• 235 citations

Publisher

Abstract

I report the observation of population inversion by optical adiabatic rapid passage. These observations, on an

{\mathrm{NH}}_{3}

infrared transition with all the relevant parameters known, agree with theoretical expectations. The pressure dependence of

{T}_{1}

, obtained by this technique, makes possible the first estimate of the collision-induced rotational lifetime of

{\mathrm{NH}}_{3}

in an excited band, which is significantly longer than the rotational lifetime in the ground vibrational band.

DOI: 10.1103/physrevlett.32.814

Related papers

Observation of adiabatic rapid passage utilizing narrow infrared saturation resonances

S. M. Hamadani, Arthur T. Mattick, Norman A. Kurnit +1 more

Applied Physics LettersJul 1, 197524 citations

Two-Photon Adiabatic Inversion

M. M. T. Loy

This Letter reports the first experimental observation of population inversion of a two-photon transition in N ${\mathrm{H}}_{3}$ using the adiabatic rapid-passage technique. The population inversion was demonstrated by the observation of stimulated two-photon gain and emission. By use of this technique, the two-photon population relaxation time ${T}_{1}$ was measured.This Letter reports the first experimental observation of population inversion of a two-photon transition in N${\mathrm{H}}_{3}$ using the adiabatic rapid-passage technique. The population inversion was demonstrated by the observation of stimulated two-photon gain and emission. By use of this technique, the two-photon population relaxation time ${T}_{1}$ was measured.

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Population Inversion in Optical Adiabatic Rapid Passage with Phase Relaxation

Yōsuke Kayanuma

The transition probability $P$ in the optical adiabatic rapid passage is calculated for a two-level model with dephasing. In the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}0$, where ${T}_{2}$ is the dephasing time and ${\ensuremath{\tau}}_{p}$ is the time scale of passage through the resonance region, $P$ is given by $P=\frac{[1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})]}{2}$ in which $\ensuremath{\chi}$ is the Rabi flopping frequency at resonance and $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ is the time derivative of the offset angular frequency. Generally, $P$ takes its maximum value at an intermediate $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ for fixed $\ensuremath{\chi}$ and is bounded by the above formula and by $P=1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{2|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})$, which gives the asymptotic value in the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}\ensuremath{\infty}$.The transition probability $P$ in the optical adiabatic rapid passage is calculated for a two-level model with dephasing. In the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}0$, where ${T}_{2}$ is the dephasing time and ${\ensuremath{\tau}}_{p}$ is the time scale of passage through the resonance region, $P$ is given by $P=\frac{[1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})]}{2}$ in which $\ensuremath{\chi}$ is the Rabi flopping frequency at resonance and $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ is the time derivative of the offset angular frequency. Generally, $P$ takes its maximum value at an intermediate $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ for fixed $\ensuremath{\chi}$ and is bounded by the above formula and by $P=1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{2|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})$, which gives the asymptotic value in the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}\ensuremath{\infty}$.

Physical Review LettersMay 11, 198739 citations

Saturation spectroscopy measurements of collisionally-induced population decay rates in NH3 after inversion by optical adiabatic rapid passage

S. M. Hamadani, Norman A. Kurnit, Ali Javan

Optics CommunicationsJul 1, 19760 citations

Two-Photon Coherent Transients

M. M. T. Loy

IBM Journal of Research and DevelopmentSep 1, 19793 citations

Adiabatic rapid passage on a single exciton

Yanwen Wu, I. M. Piper, Matthias Ediger +8 more

AIP conference proceedingsJan 1, 20110 citations

I report the observation of population inversion by optical adiabatic rapid passage. These observations, on an

{\mathrm{NH}}_{3}

infrared transition with all the relevant parameters known, agree with theoretical expectations. The pressure dependence of

{T}_{1}

, obtained by this technique, makes possible the first estimate of the collision-induced rotational lifetime of

{\mathrm{NH}}_{3}

in an excited band, which is significantly longer than the rotational lifetime in the ground vibrational band.

This Letter reports the first experimental observation of population inversion of a two-photon transition in N

{\mathrm{H}}_{3}

using the adiabatic rapid-passage technique. The population inversion was demonstrated by the observation of stimulated two-photon gain and emission. By use of this technique, the two-photon population relaxation time

{T}_{1}

was measured.

The transition probability

P

in the optical adiabatic rapid passage is calculated for a two-level model with dephasing. In the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}0$, where

{T}_{2}

is the dephasing time and ${\ensuremath{\tau}}_{p}$ is the time scale of passage through the resonance region,

P

is given by $P=\frac{[1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})]}{2}$ in which $\ensuremath{\chi}$ is the Rabi flopping frequency at resonance and $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ is the time derivative of the offset angular frequency. Generally,

P

takes its maximum value at an intermediate $\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}$ for fixed $\ensuremath{\chi}$ and is bounded by the above formula and by $P=1\ensuremath{-}\mathrm{exp}(\ensuremath{-}\frac{\ensuremath{\pi}{\ensuremath{\chi}}^{2}}{2|\stackrel{\ifmmode \dot{}\else \.{}\fi{}}{\ensuremath{\omega}}|})$, which gives the asymptotic value in the limit $\frac{{T}_{2}}{{\ensuremath{\tau}}_{p}}\ensuremath{\rightarrow}\ensuremath{\infty}$.