Dephasing-assisted transport in a tight-binding chain with a linear potential
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 Wan...
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| creator | Jacob, Samuel L Bettmann, Laetitia P Lacerda, Artur M Zawadzki, Krissia Clark, Stephen R Goold, John Mendoza-Arenas, Juan José |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2407.21715 |
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| subjects | Binding Exact solutions Localization Physics - Mesoscale and Nanoscale Physics Physics - Quantum Physics Physics - Statistical Mechanics Quantum theory |
| title | Dephasing-assisted transport in a tight-binding chain with a linear potential |
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