The Quantum Adiabatic Theorem for Non-Hermitian Dynamics

arXiv:2607.19737v1 Announce Type: new Abstract: We establish a quantitative adiabatic estimate for a class of finite-dimensional non-Hermitian Schr\"odinger dynamics. The original non-Hermitian Hamiltonian is assumed to be diagonalizable with real spectrum and non-crossing eigenvalues. We then cons