Dynamics and steady states of tight-binding chains in presence of isolated defects
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914563903979520 |
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| author | Acharya, Anish Giuggioli, Luca Gupta, Shamik |
| author_facet | Acharya, Anish Giuggioli, Luca Gupta, Shamik |
| contents | Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly reshapes wave-function spreading on a finite and periodic tight-binding lattice. Adapting the defect technique from classical random-walk studies, we obtain exact time-resolved site-occupation probabilities and several observables of interest. Even a single defect induces remarkable nonlinear effects, including non-monotonic suppression of transport, enhanced localization at distant sites, and strong sensitivity to the initial particle position at long times. These results demonstrate that minimal perturbations can generate nontrivial long-time transport signatures, giving rise to a microscopic defect-driven mechanism of quantum localization. Although the main results presented pertain to a single isolated defect, we show that the developed formalism may naturally extend to multiple as well as to a wider class of defects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_15130 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics and steady states of tight-binding chains in presence of isolated defects Acharya, Anish Giuggioli, Luca Gupta, Shamik Quantum Physics Statistical Mechanics Reduced transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, but may also emerge from the influence of a few controllable defects. We show here how a single defect profoundly reshapes wave-function spreading on a finite and periodic tight-binding lattice. Adapting the defect technique from classical random-walk studies, we obtain exact time-resolved site-occupation probabilities and several observables of interest. Even a single defect induces remarkable nonlinear effects, including non-monotonic suppression of transport, enhanced localization at distant sites, and strong sensitivity to the initial particle position at long times. These results demonstrate that minimal perturbations can generate nontrivial long-time transport signatures, giving rise to a microscopic defect-driven mechanism of quantum localization. Although the main results presented pertain to a single isolated defect, we show that the developed formalism may naturally extend to multiple as well as to a wider class of defects. |
| title | Dynamics and steady states of tight-binding chains in presence of isolated defects |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2512.15130 |