Low Temperature Physics: 48, 363 (2022); https://doi.org/10.1063/10.0010199
Fizika Nizkikh Temperatur: Volume 48, Number 5 (May 2022), p. 411-418    ( to contents , go back )

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

V. V. Mkhitaryan and M. E. Raikh

Department of Physics and Astronomy, University of Utah, Salt Lake City, UT 84112, USA
E-mail: raikh@physics.utah.edu
pos Анотація:820

Received July 12, 2021, published online March 25, 2022

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 a 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→∞. At finite bias, the imbalance goes to zero at t→∞, while the dynamics of the decay governed by noise acquires an oscillatory character.

Key words: two-site system, dissipative dynamics, telegraph noise.

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