RydIQule: A Graph-based Paradigm for Modelling Rydberg and Atomic Systems

TL;DR

RydIQule is an open-source Python tool that models multi-level atomic systems using graph theory, enabling faster simulations of complex Rydberg and atomic phenomena for spectroscopy applications.

Contribution

It introduces a novel graph-based numerical framework and software for rapid, flexible modeling of atomic systems, surpassing existing tools in speed and capability.

Findings

Simulates a Doppler-broadened Rydberg atomic sensor with five rf tones.

Achieves simulation times of several hours on standard desktop computers.

Extends modeling capabilities beyond current available tools.

Abstract

We describe a numerical technique and accompanying open-source Python software package called RydIQule. RydIQule uses a directional graph, relying on adjacency matrices and path-finding to generate a Hamiltonian for multi-level atomic systems. RydIQule then constructs semi-classical equations of motion (Bloch equations) into a tensor which can store an entire simulation consisting of varied system parameters. Using this framework, RydIQule returns solutions significantly faster than typical for interpreted programming languages. RydIQule extends beyond the capabilities of currently-available tools, facilitating rapid development in atomic and Rydberg spectroscopy. To demonstrate its utility, we use RydIQule to simulate a Doppler-broadened Rydberg atomic sensor that simultaneously demodulates five rf tones spanning from 1.7 to 116 GHz. Using RydIQule, this simulation can be solved in several hours on a commercial off-the-shelf desktop computer.