Non-Hermitian geometry reveals when quantum amplification depends only on start and end points

Article excerpt

In quantum mechanics, the geometry of quantum states has emerged as a powerful framework for understanding phenomena ranging from electrical conductivity to superconductivity. One research direction aims to extend these geometric concepts to non-Hermitian quantum mechanics, where systems can exchange energy with their environment, including the generalization of the Berry phase, a key geometric quantity, to the non-Hermitian case.