pyBoLaNO: A Python symbolic package for normal ordering involving bosonic ladder operators
arXiv:2501.01603 · doi:10.1016/j.cpc.2025.109622
Abstract
We present pyBoLaNO, a Python symbolic package based on SymPy to quickly normal-order (Wick-order) any polynomial in bosonic ladder operators. By extension, this package offers the normal ordering of commutators of any two polynomials in bosonic ladder operators and the evaluation of the normal-ordered expectation value evolution in the Lindblad master equation framework for open quantum systems. The package also supports multipartite descriptions and multiprocessing. We describe the package's workflow, show examples of use, and discuss its computational performance. All codes and examples are available on our GitHub repository.
14 pages, 2 figures; GitHub repository at https://github.com/hendry24/pyBoLaNO; More detailed analysis in the Performance section; Addressed the ambiguity in the terminology; Added LaTeX renders of the demonstration outputs; Typesetting fixes and other small tweaks
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