Embedding of Time-Delayed Quantum Feedback in a Nonreciprocal Array
Abstract
Time-delayed quantum feedback is a fast and efficient method to control and stabilize few and many-body quantum systems. However, a proper understanding of such systems stays opaque due to the non-Markovian nature of the feedback protocol. Here, we present a method of encoding time-delayed quantum feedback into a chain of nonreciprocally coupled auxiliary oscillators. Our approach serves as a novel method of introducing time-delayed quantum feedback and provides the advantage of large tunability. Importantly, within our approach the original non-Markovian system is embedded into an enlarged Markovian open quantum system, which can be treated efficiently with quantum many-body methods. As an exemplary illustration, we apply our Markovian embedding approach to the paradigmatic case of a driven-dissipative atom in front of a mirror.
Keywords
Cite
@article{arxiv.2204.02367,
title = {Embedding of Time-Delayed Quantum Feedback in a Nonreciprocal Array},
author = {Xin H. H. Zhang and S. H. L. Klapp and A. Metelmann},
journal= {arXiv preprint arXiv:2204.02367},
year = {2022}
}
Comments
6+6 pages