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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Frontiers Media S.A.
2024-10-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1474018/full |
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| author | Samuel L. Jacob Laetitia P. Bettmann Artur M. Lacerda Krissia Zawadzki Stephen R. Clark John Goold John Goold Juan José Mendoza-Arenas Juan José Mendoza-Arenas Juan José Mendoza-Arenas |
| author_facet | Samuel L. Jacob Laetitia P. Bettmann Artur M. Lacerda Krissia Zawadzki Stephen R. Clark John Goold John Goold Juan José Mendoza-Arenas Juan José Mendoza-Arenas Juan José Mendoza-Arenas |
| author_sort | Samuel L. Jacob |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-693e55d2b9834ad4aa6f0eb55326dac8 |
| institution | OA Journals |
| issn | 2296-424X |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Frontiers Media S.A. |
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| series | Frontiers in Physics |
| spelling | doaj-art-693e55d2b9834ad4aa6f0eb55326dac82025-08-20T02:09:26ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-10-011210.3389/fphy.2024.14740181474018Dephasing-assisted transport in a tight-binding chain with a linear potentialSamuel L. Jacob0Laetitia P. Bettmann1Artur M. Lacerda2Krissia Zawadzki3Stephen R. Clark4John Goold5John Goold6Juan José Mendoza-Arenas7Juan José Mendoza-Arenas8Juan José Mendoza-Arenas9School of Physics, Trinity College Dublin, College Green, Dublin, IrelandSchool of Physics, Trinity College Dublin, College Green, Dublin, IrelandSchool of Physics, Trinity College Dublin, College Green, Dublin, IrelandInstituto de Física de São Carlos, Universidade de São Paulo, São Paulo, BrazilH. H. Wills Physics Laboratory, University of Bristol, Bristol, United KingdomSchool of Physics, Trinity College Dublin, College Green, Dublin, IrelandTrinity Quantum Alliance, Unit 16, Trinity Technology and Enterprise Centre, Dublin, IrelandH. H. Wills Physics Laboratory, University of Bristol, Bristol, United KingdomDepartment of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA, United StatesDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA, United StatesAn 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.https://www.frontiersin.org/articles/10.3389/fphy.2024.1474018/fulldephasing assisted transportbloch oscillationsquantum transportquantum many bodywannier-Stark localization |
| spellingShingle | Samuel L. Jacob Laetitia P. Bettmann Artur M. Lacerda Krissia Zawadzki Stephen R. Clark John Goold John Goold Juan José Mendoza-Arenas Juan José Mendoza-Arenas Juan José Mendoza-Arenas Dephasing-assisted transport in a tight-binding chain with a linear potential Frontiers in Physics dephasing assisted transport bloch oscillations quantum transport quantum many body wannier-Stark localization |
| title | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| title_full | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| title_fullStr | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| title_full_unstemmed | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| title_short | Dephasing-assisted transport in a tight-binding chain with a linear potential |
| title_sort | dephasing assisted transport in a tight binding chain with a linear potential |
| topic | dephasing assisted transport bloch oscillations quantum transport quantum many body wannier-Stark localization |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1474018/full |
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