Dephasing-assisted transport in a tight-binding chain with a linear potential
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909358618574848 |
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| author | Jacob, Samuel L. Bettmann, Laetitia P. Lacerda, Artur M. Zawadzki, Krissia Clark, Stephen R. Goold, John Mendoza-Arenas, Juan José |
| author_facet | Jacob, Samuel L. Bettmann, Laetitia P. Lacerda, Artur M. Zawadzki, Krissia Clark, Stephen R. Goold, John Mendoza-Arenas, Juan José |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dephasing-assisted transport in a tight-binding chain with a linear potential Jacob, Samuel L. Bettmann, Laetitia P. Lacerda, Artur M. Zawadzki, Krissia Clark, Stephen R. Goold, John Mendoza-Arenas, Juan José Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Physics 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. |
| title | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2407.21715 |