Simple master equations for describing driven systems subject to classical non-Markovian noise
Abstract
Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for such systems. This master equation has an intuitive form that directly parallels a standard Lindblad equation, but contains several surprising features: the combination of driving and non-Markovianity results in effective time-dependent dephasing rates that can be negative, and the noise can generate Hamiltonian renormalizations even though it is classical. We analyze in detail the highly relevant case of a Rabi-driven qubit subject to various kinds of non-Markovian noise including fluctuations, finding an excellent agreement between our master equation and numerically-exact simulations over relevant timescales. The approach outlined here is more accurate than commonly employed phenomenological master equations which ignore the interplay between driving and noise.
Keywords
Cite
@article{arxiv.2207.03980,
title = {Simple master equations for describing driven systems subject to classical non-Markovian noise},
author = {Peter Groszkowski and Alireza Seif and Jens Koch and A. A. Clerk},
journal= {arXiv preprint arXiv:2207.03980},
year = {2023}
}
Comments
12+4 pages, 6+4 figures