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arXiv · 1710.04488

Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems

Ye-Hong Chen·Qi-Cheng Wu·Bi-Hua Huang·Jie Song·Yan Xia·Shi-Biao Zheng
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Abstract

It is still a challenge to experimentally realize shortcuts to adiabaticity (STA) for a non-Hermitian quantum system since a non-Hermitian quantum system's counterdiabatic driving Hamiltonian contains some unrealizable auxiliary control fields. In this paper, we relax the strict condition in constructing STA and propose a method to redesign a realizable supplementary Hamiltonian to construct non-Hermitian STA. The redesigned supplementary Hamiltonian can be eithersymmetric or asymmetric. For the sake of clearness, we apply this method to an Allen-Eberly model as an example to verify the validity of the optimized non-Hermitian STA. The numerical simulation demonstrates that a ultrafast population inversion could be realized in a two-level non-Hermitian system.

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Ye-Hong Chen, Qi-Cheng Wu, Bi-Hua Huang, Jie Song, Yan Xia, Shi-Biao Zheng. 2017-10-18. Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems. https://doi.org/10.1002/andp.201700247

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