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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.06134 |
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| _version_ | 1866918097870389248 |
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| author | Nagib, Omar Walker, Thad G. |
| author_facet | Nagib, Omar Walker, Thad G. |
| contents | We present a general non-perturbative method to determine the exact steady state of open quantum systems under perturbation. The method works for systems with a unique steady state and the perturbation may be time-independent or periodic, and of arbitrarily large amplitude. Using the Drazin inverse and a single diagonalization, we construct an operator that generates the entire dependence of the steady state on the perturbation parameter. The approach also enables exact analytic operations-such as differentiation, integration, and ensemble averaging-with respect to the parameter, even when the steady state is computed numerically. We apply the method to three non-trivial open quantum systems, showing that it achieves exact results, with a computational speedup of one to several orders of magnitude for calculations requiring large sampling, compared to previous approaches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact steady state of perturbed open quantum systems Nagib, Omar Walker, Thad G. Quantum Physics We present a general non-perturbative method to determine the exact steady state of open quantum systems under perturbation. The method works for systems with a unique steady state and the perturbation may be time-independent or periodic, and of arbitrarily large amplitude. Using the Drazin inverse and a single diagonalization, we construct an operator that generates the entire dependence of the steady state on the perturbation parameter. The approach also enables exact analytic operations-such as differentiation, integration, and ensemble averaging-with respect to the parameter, even when the steady state is computed numerically. We apply the method to three non-trivial open quantum systems, showing that it achieves exact results, with a computational speedup of one to several orders of magnitude for calculations requiring large sampling, compared to previous approaches. |
| title | Exact steady state of perturbed open quantum systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.06134 |