Fast and Accurate Method for Doppler Averaging of Rydberg EIT Signals

Abstract

Modeling the effect of Doppler broadening due to the thermal atomic motion of Rydberg sensors typically relies on sampling a large velocity class, solving the equations of motion for each velocity, and then averaging the atomic density matrix over that velocity class. This process is inexact, slow, and presents a bottleneck in simulating Rydberg sensors. We present an approach that allows for fast, exact velocity averaging just by solving the equations of motion twice. We find the "propagator" that acts on the zero-velocity solution to generate the velocity-dependent atomic state for all velocities. By averaging this propagator over the Maxwell-Boltzmann velocity distribution of the atoms, we obtain an explicit, analytic formula that generates the averaged atomic state. This method is expected to save memory and time computational resources by one to several orders of magnitude, compared to traditional sampling approaches.

arXiv comment2 pages, 1 figure, conference paper (proceedings of the National Radio Science Meeting 2025)

References in corpus (7)

• Narrowing of EIT resonance in a Doppler Broadened Medium
• A practical guide to electromagnetically induced transparency in atomic vapor
• From Laser Induced Line Narrowing To Electromagnetically Induced Transparency: Closed System Analysis
• Theory of Thermal Motion in Electromagnetically Induced Transparency: Diffusion, Doppler, Dicke and Ramsey
• Dynamics of slow light and light storage in a Doppler-broadened electromagnetically-induced-transparency medium: A numerical approach
• An effective thermal-parametrization theory for the slow-light dynamics in a Doppler-broadened electomagnetically induced transparency medium
• Inverse Transform Sampling for Efficient Doppler-Averaged Spectroscopy Simulations