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arXiv · 2112.00203

One-component quantum mechanics and dynamical leakage-free paths

Jun Jing·Lian-Ao Wu
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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.

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Jun Jing, Lian-Ao Wu. 2021-12-01. One-component quantum mechanics and dynamical leakage-free paths. https://arxiv.org/abs/2112.00203

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