Exact steady state of perturbed open quantum systems

• URL: http://arxiv.org/abs/2501.06134v2
• Date: Mon, 20 Jan 2025 01:35:27 GMT
• Title: Exact steady state of perturbed open quantum systems
• Authors: Omar Nagib, Thad G. Walker,
• Abstract summary: We present a general non-perturbative method to determine the exact steady state of open quantum systems. We apply the method to three non-trivial open quantum systems.
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• Abstract: We present a general non-perturbative method to determine the exact perturbed steady state of open quantum systems, in terms of the eigenmodes of the unperturbed system. The perturbation may be time-independent or periodic, and of arbitrarily large amplitude. Using a generalized inverse and two diagonalizations, 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 for calculations requiring large sampling, such as ensemble averaging, compared to sampling-based approaches.

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