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| Format: | Preprint |
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2020
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| Online Access: | https://arxiv.org/abs/2001.11166 |
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| _version_ | 1866909226175037440 |
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| author | Mkhitaryan, V. V. Raikh, M. E. |
| author_facet | Mkhitaryan, V. V. Raikh, M. E. |
| contents | We study the dynamics of a two-site model in which the tunneling amplitude between the sites is not constant but rather a high-frequency noise. Obviously, the population imbalance in this model decays exponentially with time. Remarkably, the decay is modified dramatically when the level asymmetry fluctuates in-phase with fluctuations of the tunneling amplitude. For particular type of these in-phase fluctuations, namely, the telegraph noise, we find the exact solution for the average population dynamics. It appears that the population imbalance between the sites starting from 1 at time $t=0$ approaches a constant value in the limit $t\rightarrow \infty$. At finite bias, the imbalance goes to zero at $t\rightarrow \infty$, while the dynamics of the decay governed by noise acquires an oscillatory character. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_11166 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation Mkhitaryan, V. V. Raikh, M. E. Disordered Systems and Neural Networks Quantum Physics We study the dynamics of a two-site model in which the tunneling amplitude between the sites is not constant but rather a high-frequency noise. Obviously, the population imbalance in this model decays exponentially with time. Remarkably, the decay is modified dramatically when the level asymmetry fluctuates in-phase with fluctuations of the tunneling amplitude. For particular type of these in-phase fluctuations, namely, the telegraph noise, we find the exact solution for the average population dynamics. It appears that the population imbalance between the sites starting from 1 at time $t=0$ approaches a constant value in the limit $t\rightarrow \infty$. At finite bias, the imbalance goes to zero at $t\rightarrow \infty$, while the dynamics of the decay governed by noise acquires an oscillatory character. |
| title | Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2001.11166 |