Three-photon electromagnetically induced transparency using Rydberg states: erratum

Christopher Carr; Monsit Tanasittikosol; Armen Sargsyan; David Sarkisyan; Charles S. Adams; Kevin J. Weatherill

doi:10.1364/OL.38.001853

Abstract

In a previous Letter [Opt. Lett. 37, 3858 (2012)], three equations were misrepresented. They are corrected here.

In our Letter [1], Eqs. (1), (3), and (4) should read:

χ (v) d v = N (v) d v \frac{i d_{21}^{2}}{ε_{0} ℏ} {[\frac{Γ_{2}}{2} + i k_{p} v + \frac{i Ω_{d}}{2} \frac{ρ_{31}}{ρ_{21}}]}^{- 1},

\frac{ρ_{31}}{ρ_{21}} = - \frac{i Ω_{d}}{2} {[\frac{Γ_{3}}{2} + i (k_{p} - k_{d}) v + \frac{i Ω_{c}}{2} \frac{ρ_{41}}{ρ_{31}}]}^{- 1},

\frac{ρ_{41}}{ρ_{31}} = - \frac{i Ω_{c}}{2} {[γ_{c} - i Δ_{c} + i (k_{p} - k_{d} - k_{c}) v]}^{- 1} .

We thank Ofer Firstenberg for pointing out the errors.

Reference

1. C. Carr, M. Tanasittikosol, A. Sargsyan, D. Sarkisyan, C. S. Adams, and K. J. Weatherill, Opt. Lett. 37, 3858 (2012). [CrossRef]

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Equations (3)

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χ (v) d v = N (v) d v \frac{i d_{21}^{2}}{ε_{0} ℏ} {[\frac{Γ_{2}}{2} + i k_{p} v + \frac{i Ω_{d}}{2} \frac{ρ_{31}}{ρ_{21}}]}^{- 1},

\frac{ρ_{31}}{ρ_{21}} = - \frac{i Ω_{d}}{2} {[\frac{Γ_{3}}{2} + i (k_{p} - k_{d}) v + \frac{i Ω_{c}}{2} \frac{ρ_{41}}{ρ_{31}}]}^{- 1},

\frac{ρ_{41}}{ρ_{31}} = - \frac{i Ω_{c}}{2} {[γ_{c} - i Δ_{c} + i (k_{p} - k_{d} - k_{c}) v]}^{- 1} .

Abstract

Reference

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Equations (3)

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