One-component quantum mechanics and dynamical leakage-free paths

Jun Jing; Lian-Ao Wu

doi:10.1038/s41598-022-13130-3

One-component quantum mechanics and dynamical leakage-free paths

Sci Rep. 2022 Jun 2;12(1):9247. doi: 10.1038/s41598-022-13130-3.

Authors

Jun Jing¹, Lian-Ao Wu^{2

3}

Affiliations

¹ Zhejiang Province Key Laboratory of Quantum Technology and Device, Department of Physics, Zhejiang University, Hangzhou, 310027, Zhejiang, China.
² Department of Physics, The University of the Basque Country (EHU/UPV), P.O. Box 644, 48080, Bilbao, Spain. lianao.wu@ehu.es.
³ Ikerbasque, Basque Foundation for Science, 48011, Bilbao, Spain. lianao.wu@ehu.es.

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 a necessary 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 dynamics and control.