Dephasing-assisted transport in a tight-binding chain with a linear potential

• URL: http://arxiv.org/abs/2407.21715v3
• Date: Tue, 22 Oct 2024 09:18:39 GMT
• Title: Dephasing-assisted transport in a tight-binding chain with a linear potential
• Authors: Samuel L. Jacob, Laetitia P. Bettmann, Artur M. Lacerda, Krissia Zawadzki, Stephen R. Clark, John Goold, Juan José Mendoza-Arenas,
• Abstract summary: We study the interplay between bulk dephasing and a linear potential in a boundary-driven tight-binding chain. A linear potential induces Wannier-Stark localization in the absence of noise, while dephasing induces diffusive transport in the absence of a tilt.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An environment interacting with a quantum system can enhance transport through the suppression of quantum effects responsible for localization. In this paper, we study the interplay between bulk dephasing and a linear potential in a boundary-driven tight-binding chain. A linear potential induces Wannier-Stark localization in the absence of noise, while dephasing induces diffusive transport in the absence of a tilt. We derive an approximate expression for the steady-state current as a function of both dephasing and tilt which closely matches the exact solution for a wide range of parameters. From it, we find that the maximum current occurs for a dephasing rate equal to the period of Bloch oscillations in the Wannier-Stark localized system. We also find that the current displays a maximum as a function of the system size, provided that the total potential tilt across the chain remains constant. Our results can be verified in current experimental platforms and represents a step forward in analytical studies of environment-assisted transport.

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