Theory of open quantum dynamics with hybrid noise
Abstract
We develop a theory to describe dynamics of a non-stationary open quantum system interacting with a hybrid environment, which includes high-frequency and low-frequency noise components. One part of the system-bath interaction is treated in a perturbative manner, whereas the other part is considered exactly. This approach allows us to derive a set of master equations where the relaxation rates are expressed as convolutions of the Bloch-Redfield and Marcus formulas. Our theory enables analysis of systems that have extremely small energy gaps in the presence of a realistic environment. As an illustration, we apply the theory to the 16-qubit quantum annealing problem with dangling qubits and show good agreement with experimental results.
Keywords
Cite
@article{arxiv.1802.07715,
title = {Theory of open quantum dynamics with hybrid noise},
author = {Anatoly Yu. Smirnov and Mohammad H. Amin},
journal= {arXiv preprint arXiv:1802.07715},
year = {2019}
}
Comments
24 pages, 9 figures