Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system

Abstract

We generalize the quantum adiabatic theorem to the non-Hermitian system and build a rigorous adiabaticity condition with respect to the adiabatic phase. The non-Hermitian Hamiltonian inverse engineering method is proposed for the purpose to adiabatically drive a artificial quantum state. For the sake of clearness, we take a concrete two-level system as an example to show the usefulness of the inverse engineering method. The numerical simulation result shows that our scheme can work well even under noise if the parameters are chosen appropriately. We can obtain the desired target state by adjusting extra rotating magnetic fields at a predefined time. Furthermore, certain noise and dissipation in the systems is no longer undesirable, but plays a positive role in our scheme. Therefore, our scheme could provide more choices for the realization of quantum-state engineering.

7 pages, 3 figures, has been published in Physical Review A

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Cited by in corpus (6)

• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Extension of Noether's theorem in PT-symmetric systems and its experimental demonstration in an optical setup
• Improving shortcuts to non-Hermitian adiabaticity for fast population transfer in open quantum systems
• Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems