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Permutational Invariance Block Solver

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PIBS: Permutational Invariance Block Solver

This python package implements an efficient, numerically exact method for solving the dynamics of the dissipative Tavis-Cummings model with local loss and dephasing processes (no gain!). The method exploits the weak permutation symmetry and the weak U(1) symmetry of the Lindblad master equation.

This code has been used in the publication [1].

Installation

PIBS can be installed using pip:

$ python3 -m pip install pibs

Example/Tutorial

An example for using PIBS is given in tutorials/example.py, and a jupyter-notebook with more detailed explanation in tutorials/pibs_example.ipynb

  • [1] L. Freter, P. Fowler-Wright, J. Cuerda, B. W. Lovett, J. Keeling, and P. Törmä, ‘Theory of dynamical superradiance in organic materials’, arXiv: arXiv:2509.03067 (https://doi.org/10.48550/arXiv.2509.03067) (2025)

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