Journal article
Samuel L. Jacob, Laetitia P. Bettmann, A. M. Lacerda, Krissia Zawadzki, Stephen R. Clark, John Goold, J. J. Mendoza-Arenas
Frontiers of Physics, 2024
Frontiers of Physics, 2024
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Jacob, S. L., Bettmann, L. P., Lacerda, A. M., Zawadzki, K., Clark, S. R., Goold, J., & Mendoza-Arenas, J. J. (2024). Dephasing-assisted transport in a tight-binding chain with a linear potential. Frontiers of Physics.
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Jacob, Samuel L., Laetitia P. Bettmann, A. M. Lacerda, Krissia Zawadzki, Stephen R. Clark, John Goold, and J. J. Mendoza-Arenas. “Dephasing-Assisted Transport in a Tight-Binding Chain with a Linear Potential.” Frontiers of Physics (2024).
MLA
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Jacob, Samuel L., et al. “Dephasing-Assisted Transport in a Tight-Binding Chain with a Linear Potential.” Frontiers of Physics, 2024.
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@article{samuel2024a,
title = {Dephasing-assisted transport in a tight-binding chain with a linear potential},
year = {2024},
journal = {Frontiers of Physics},
author = {Jacob, Samuel L. and Bettmann, Laetitia P. and Lacerda, A. M. and Zawadzki, Krissia and Clark, Stephen R. and Goold, John and Mendoza-Arenas, J. J.}
}
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.