Linearly Driven Non-Hermitian Quantum Systems

Many-body generalization of the Landau-Zener models, known as multi-state Landau-Zener models have been extensively investigated in Hermitian physics with applications in various physical systems. In this work, we extend investigations to the non-Hermitian regime, where the non-Hermiticity is introduced through anti-Hermitian couplings. We provide a framework on how to solve non-Hermitian multi-state Landau-Zener models with illustrative examples of 4-level and 6-level quantum systems. Moreover, we discuss the potential application of the non-Hermitian multi-state Landau-Zener model in coupled optical waveguides.