One-component quantum mechanics and dynamical leakage-free paths

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-f...

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Bibliographic Details
Published inScientific reports Vol. 12; no. 1; pp. 9247 - 9
Main Authors Jing, Jun, Wu, Lian-Ao
Format Journal Article
LanguageEnglish
Published England Nature Publishing Group 02.06.2022
Nature Publishing Group UK
Nature Portfolio
Subjects
Adiabatic
Hilbert space
Leakage
Protocol
Quantum physics
Quantum theory
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Summary: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.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-022-13130-3