Slow dynamics of a mobile impurity interacting with an Anderson insulator
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866914703738929152 |
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| author | Sierant, Piotr Chanda, Titas Lewenstein, Maciej Zakrzewski, Jakub |
| author_facet | Sierant, Piotr Chanda, Titas Lewenstein, Maciej Zakrzewski, Jakub |
| contents | We investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow, suggesting, at short times, an occurrence of many-body localization. Considering longer time scales, we show that the latter is a transient effect and that, eventually, the impurity spreads sub-diffusively and induces a gradual delocalization of the Anderson insulator. The phenomenology of the system in the considered regime of slow dynamics includes a sub-diffusive growth of mean square displacement of the impurity, power-law decay of density correlation functions of the Anderson insulator and a power-law growth of entanglement entropy in the system. We observe a similar regime of slow dynamics also when the disorder in the system is replaced by a sufficiently strong quasi-periodic potential. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2212_07107 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Slow dynamics of a mobile impurity interacting with an Anderson insulator Sierant, Piotr Chanda, Titas Lewenstein, Maciej Zakrzewski, Jakub Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics We investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow, suggesting, at short times, an occurrence of many-body localization. Considering longer time scales, we show that the latter is a transient effect and that, eventually, the impurity spreads sub-diffusively and induces a gradual delocalization of the Anderson insulator. The phenomenology of the system in the considered regime of slow dynamics includes a sub-diffusive growth of mean square displacement of the impurity, power-law decay of density correlation functions of the Anderson insulator and a power-law growth of entanglement entropy in the system. We observe a similar regime of slow dynamics also when the disorder in the system is replaced by a sufficiently strong quasi-periodic potential. |
| title | Slow dynamics of a mobile impurity interacting with an Anderson insulator |
| topic | Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2212.07107 |