Exact kinetic propagators for coherent state complex Langevin simulations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911452094267392 |
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| author | Kiely, Thomas G. McGarrigle, Ethan C. Fredrickson, Glenn H. |
| author_facet | Kiely, Thomas G. McGarrigle, Ethan C. Fredrickson, Glenn H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact kinetic propagators for coherent state complex Langevin simulations Kiely, Thomas G. McGarrigle, Ethan C. Fredrickson, Glenn H. Quantum Gases Statistical Mechanics 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. |
| title | Exact kinetic propagators for coherent state complex Langevin simulations |
| topic | Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2508.11057 |