SQUIRREL: An Open-Source Software Suite for Quantum Dynamics Calculations on Complex Geometries with Time-dependent Electric/Magnetic Fields

We present a general-purpose, open-source software suite, SQUIRREL (Streamlined Quantum Unified Interface for Researching Real-time Excitations with Light), for propagating the time-dependent Schrödinger equation on complex geometries in the presence of time-dependent electric and/or magnetic fields. To handle large systems that can be executed on a conventional desktop computer, the SQUIRREL software suite uses a suite of efficient propagation methods for various quantum dynamics applications, including a new perturbation-based element-dropping algorithm that improves computational performance with minimal loss of accuracy. We analyze the efficacy of these optimizations for Crank-Nicolson, scaled Taylor series approximation, and split-operator propagation methods and discuss the range of their applicability to a variety of quantum dynamics problems. In addition, we provide several examples of time-dependent dynamics calculations and extensive documentation for generating custom geometries, potentials, and time-propagation approaches. Our numerical benchmarks and results demonstrate the versatility of the SQUIRREL software suite for efficiently calculating quantum dynamics in complex nanoscale geometries, particularly in the presence of time-dependent magnetic fields, which have received less attention in previous quantum dynamics studies.

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Publication Details

Journal
ChemRxiv
Published
2025-09-15
DOI
https://doi.org/10.26434/chemrxiv-2025-kxmzm
Primary Topic
Computational Physics and Python Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

SQUIRREL: An Open-Source Software Suite for Quantum Dynamics Calculations on Complex Geometries with Time-dependent Electric/Magnetic Fields

Bryan M. Wong, Mahmut Sait Okyay, Simon N. Sandhofer
ChemRxiv
Computational Physics and Python Applications
article

SQUIRREL: An Open-Source Software Suite for Quantum Dynamics Calculations on Complex Geometries with Time-dependent Electric/Magnetic Fields

Bryan M. Wong, Mahmut Sait Okyay, Simon N. Sandhofer
article en

Abstract

We present a general-purpose, open-source software suite, SQUIRREL (Streamlined Quantum Unified Interface for Researching Real-time Excitations with Light), for propagating the time-dependent Schrödinger equation on complex geometries in the presence of time-dependent electric and/or magnetic fields. To handle large systems that can be executed on a conventional desktop computer, the SQUIRREL software suite uses a suite of efficient propagation methods for various quantum dynamics applications, including a new perturbation-based element-dropping algorithm that improves computational performance with minimal loss of accuracy. We analyze the efficacy of these optimizations for Crank-Nicolson, scaled Taylor series approximation, and split-operator propagation methods and discuss the range of their applicability to a variety of quantum dynamics problems. In addition, we provide several examples of time-dependent dynamics calculations and extensive documentation for generating custom geometries, potentials, and time-propagation approaches. Our numerical benchmarks and results demonstrate the versatility of the SQUIRREL software suite for efficiently calculating quantum dynamics in complex nanoscale geometries, particularly in the presence of time-dependent magnetic fields, which have received less attention in previous quantum dynamics studies.

ChemRxiv
University of California, Riverside (US)
Openalex Percentile: Top 87%
Computational Physics and Python Applications
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SQUIRREL: An Open-Source Software Suite for Quantum Dynamics Calculations on Complex Geometries with Time-dependent Electric/Magnetic Fields — Bryan M. Wong, Mahmut Sait Okyay, et al. · ChemRxiv (2025) | TGRS Research Map | TGRS