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

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.

arXiv comment11 pages, 4 figures, has been accepted by Annalen Der Physik

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• Pontryagin-Optimal Control of a non-Hermitian Qubit
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
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• Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit
• Shortening time scale to reduce thermal effects in quantum transistors
• Controllable multiple beam splitting in Hermitian and non-Hermitian symmetric coupled waveguide systems