# A fast, high-order numerical method for the simulation of single-excitation states in quantum optics

@article{Hoskins2021AFH, title={A fast, high-order numerical method for the simulation of single-excitation states in quantum optics}, author={Jeremy G. Hoskins and Jason Kaye and Manas Rachh and John C. Schotland}, journal={ArXiv}, year={2021}, volume={abs/2109.06956} }

We consider the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a single photon. We reformulate the problem as an integro-differential equation for the atomic degrees of freedom, and describe an efficient solver for the case of a Gaussian atomic density. The problem of history dependence arising from the integral formulation is addressed using sumof-exponentials history compression…

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