One-component quantum mechanics and dynamical leakage-free paths
Abstract
We derive an exact one-component equation of motion for the probability amplitude of a target time-dependent state, and use the equation to reformulate quantum dynamics and control for both closed and open systems. Using the one-component equation, we show that an unexpected time-dependent leakage-free path can be induced and we capture the essential quantity in determining the effect of decoherence suppression. Our control protocol based on the nonperturbative leakage elimination operator provides a unified perspective connecting some subtle, popular and important concepts of quantum control, such as dynamical decoupling, quantum Zeno effect, and adiabatic passage. The resultant one-component equation will promise significant advantages in both quantum mechanics and control.
Cite
@article{arxiv.2112.00203,
title = {One-component quantum mechanics and dynamical leakage-free paths},
author = {Jun Jing and Lian-Ao Wu},
journal= {arXiv preprint arXiv:2112.00203},
year = {2021}
}
Comments
15 pages, 2 figures