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arXiv · 2508.11057

Exact kinetic propagators for coherent state complex Langevin simulations

Thomas G. Kiely·Ethan C. McGarrigle·Glenn H. Fredrickson
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Abstract

We introduce and benchmark an improved algorithm for complex Langevin simulations of bosonic coherent state path integrals. Our approach utilizes a Strang splitting of the imaginary-time propagator rather than the conventional linear-order Taylor expansion, allowing us to construct an action that incorporates higher-order terms at negligible computational cost. The resulting algorithm enjoys guaranteed linear stability independent of the imaginary-time discretization, enabling more resource-efficient simulations. We demonstrate this improved performance for single-species bosons and for two-component bosons with Rashba spin-orbit coupling.

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Thomas G. Kiely, Ethan C. McGarrigle, Glenn H. Fredrickson. 2025-08-14. Exact kinetic propagators for coherent state complex Langevin simulations. https://doi.org/10.1103/p87t-vyc9

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