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quant-ph2026
Evolution Generators for Complex Parameters
Jen-Yin Yeh, Chia-Yi Ju
Theoretical studies on how quantum systems are affected by external factors are often formulated through parameter changes in the system's Hamiltonian. Beyond Berry connections and…
quant-ph2026
Non-Hermitian Rayleigh-Schrödinger-like Perturbation Theory at Exceptional Point
Wei-Ming Chen, Chia-Yi Ju
We develop a Rayleigh--Schrödinger-like perturbation theory for non-Hermitian quantum systems at an exceptional point of order . Working in the Jordan basis of the unperturbed H…
quant-ph2026
Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers
Chia-Yi Ju, Gunnar Möller, Yu-Chin Tzeng
Dirac exceptional points (EPs) represent a novel class of non-Hermitian singularities that, unlike conventional EPs, reside entirely within the parity-time unbroken phase and exhib…