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

Fuente: arXiv
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Main Authors: Miller, Benjamin N., Meyer, David H., Virtanen, Teemu, O'Brien, Christopher M., Cox, Kevin C.
Format: Preprint
Published: 2023
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author Miller, Benjamin N.
Meyer, David H.
Virtanen, Teemu
O'Brien, Christopher M.
Cox, Kevin C.
author_facet Miller, Benjamin N.
Meyer, David H.
Virtanen, Teemu
O'Brien, Christopher M.
Cox, Kevin C.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_15673
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle RydIQule: A Graph-based Paradigm for Modelling Rydberg and Atomic Systems
Miller, Benjamin N.
Meyer, David H.
Virtanen, Teemu
O'Brien, Christopher M.
Cox, Kevin C.
Atomic Physics
Quantum Physics
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.
title RydIQule: A Graph-based Paradigm for Modelling Rydberg and Atomic Systems
topic Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2307.15673