Ramsey interferometry through coherent $X^2\Sigma_g^+ - A^2\Pi_u - B^2\Sigma_u^+$ coupling and population transfer in N$^+_2$ air laser

TL;DR

This paper theoretically investigates the coherent emission at 391nm from N$_2^+$ air laser, demonstrating Ramsey interference fringes and shedding light on population inversion's role in optical gain, with implications for coherent control.

Contribution

It introduces a theoretical model explaining the coherent emission and interference phenomena in N$_2^+$ air laser, challenging the necessity of population inversion for optical gain.

Findings

Simulation of experimental temporal profiles and gain.

Observation of Ramsey interference fringes.

Explanation of population modulation effects.

Abstract

The laser-like coherent emission at 391nm from N$_2$ gas irradiated by strong 800nm pump laser and weak 400nm seed laser is theoretically investigated. Recent experimental observations are well simulated, including temporal profile, optical gain and periodic modulation of the 391nm signal from N$_2^+$. Our calculation sheds light on the long standing controversy on whether population inversion is indispensable for the optical gain. We demonstrate the Ramsey interference fringes of the emission intensity at 391nm formed by additionally injecting another 800nm pump or 400nm seed, which are well explained by the coherent modulation of transition dipole moment and population between the $A^2\Pi_u(\nu=2)$-$X^2\Sigma_g^+$ states as well as the $B^2\Sigma_u^+ (\nu=0)$-$X^2\Sigma_g^+$ states. This study provides versatile possibilities for the coherent control of $\text{N}_2^+$ air laser.