Quantum transport under oscillatory drive with disordered amplitude
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910818894872576 |
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| author | Tiwari, Vatsana Dattagupta, Sushanta Bhakuni, Devendra Singh Sharma, Auditya |
| author_facet | Tiwari, Vatsana Dattagupta, Sushanta Bhakuni, Devendra Singh Sharma, Auditya |
| contents | We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum transport. We derive an exact expression for the probability propagator and the mean-squared displacement in the clean limit and generalize it for the disordered case using the Liouville operator method. Our analysis reveals that in the presence a random static field, the system follows diffusive transport; however, an increase in the field strength causes a suppression in the transport and thus results in disorder-induced localization. We further extend the analysis for a time-dependent disordered electric field and show that the dynamics of mean-squared-displacement deviates from the parabolic path as the field strength increases, unlike the clean limit where ballistic transport occurs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12653 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum transport under oscillatory drive with disordered amplitude Tiwari, Vatsana Dattagupta, Sushanta Bhakuni, Devendra Singh Sharma, Auditya Disordered Systems and Neural Networks We investigate the dynamics of non-interacting particles in a one-dimensional tight-binding chain in the presence of an electric field with random amplitude drawn from a Gaussian distribution, and explicitly focus on the nature of quantum transport. We derive an exact expression for the probability propagator and the mean-squared displacement in the clean limit and generalize it for the disordered case using the Liouville operator method. Our analysis reveals that in the presence a random static field, the system follows diffusive transport; however, an increase in the field strength causes a suppression in the transport and thus results in disorder-induced localization. We further extend the analysis for a time-dependent disordered electric field and show that the dynamics of mean-squared-displacement deviates from the parabolic path as the field strength increases, unlike the clean limit where ballistic transport occurs. |
| title | Quantum transport under oscillatory drive with disordered amplitude |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2408.12653 |