Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation

• URL: http://arxiv.org/abs/2001.11166v1
• Date: Thu, 30 Jan 2020 03:51:04 GMT
• Title: Slow oscillating dynamics of a two-level system subject to a fast telegraph noise: beyond the NIBA approximation
• Authors: V. V. Mkhitaryan and M. E. Raikh
• Abstract summary: 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. For particular type of these in-phase fluctuations, namely, the telegraph noise, we find the exact solution for the average population dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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