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

TL;DR

This paper introduces a method to design realizable supplementary Hamiltonians for shortcuts to adiabaticity in non-Hermitian quantum systems, enabling ultrafast population transfer despite the challenges of implementing counterdiabatic driving.

Contribution

It proposes a relaxed approach to constructing non-Hermitian STA by redesigning supplementary Hamiltonians, making them experimentally feasible.

Findings

Achieved ultrafast population inversion in a two-level non-Hermitian system.

Validated the method using an Allen-Eberly model through numerical simulations.

Demonstrated the effectiveness of the redesigned Hamiltonian in realistic scenarios.

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.