Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings

• URL: http://arxiv.org/abs/2502.12818v1
• Date: Tue, 18 Feb 2025 12:26:32 GMT
• Title: Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
• Authors: Federico Settimo, Kimmo Luoma, Dariusz Chruściński, Andrea Smirne, Bassano Vacchini, Jyrki Piilo,
• Abstract summary: In open quantum systems, the reduced dynamics is described starting from the assumption that the system and the environment are initially uncorrelated. For the uncorrelated scenario, unravelings are a powerful tool to simulate the dynamics, but so far they have not been used in the most general case in which correlations are initially present. In our work, we employ the bath positive (B+) or one-sided positive decomposition formalism as a starting point to generalize unraveling in the presence of initial correlations.
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• Abstract: In standard treatments of open quantum systems, the reduced dynamics is described starting from the assumption that the system and the environment are initially uncorrelated. This assumption, however, is not always guaranteed in realistic scenarios and several theoretical approaches to characterize initially correlated dynamics have been introduced. For the uncorrelated scenario, stochastic unravelings are a powerful tool to simulate the dynamics, but so far they have not been used in the most general case in which correlations are initially present. In our work, we employ the bath positive (B+) or one-sided positive decomposition (OPD) formalism as a starting point to generalize stochastic unraveling in the presence of initial correlations. Noticeably, our approach doesn't depend on the particular unraveling technique, but holds for both piecewise deterministic and diffusive unravelings. This generalization allows not only for more powerful simulations for the reduced dynamics, but also for a deeper theoretical understanding of open system dynamics.

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