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Parametric hypersensitivity and transport in the steady-state open-system Holstein model

The behavior of open quantum systems is of great interest in many areas such as chemical dynamics, biological systems, and quantum computing . Due to environmental effects such as dissipation and driving, these systems can display nonequilibrium steady states (NESS) that differ significantly from the closed-system dynamics .
Parametric hypersensitivity Article

Publication Date: May 19, 2025

Authors: Nishaant Jacobus, Paul Brumer, and Chern Chuang

Abstract:

We demonstrate that the nonequilibrium steady state (NESS) of an open-system Holstein model with linear bias displays extreme sensitivity to the closed-system parameters. This sensitivity is shown to correspond to avoided crossings in the closed-system spectrum, as previously demonstrated in the Rabi model. We then develop a kinetic model to analyze the effects of environmental parameters on NESS hypersensitivity. This reveals that hypersensitivity only exists in intermediate environmental parameter regimes, a prediction that is verified numerically. The inherent spatial character of the Holstein model offers a natural connection to transport, revealing that transport properties in the steady-state regime can be optimized by simultaneously coordinating the closed- and open-system parameters.

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