2 citations · 2 across the 4 of their papers we have counts for
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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…
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…
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…
Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
Chia-Yi Ju, Adam Miranowicz, Jacob Barnett +2
The equivalence between the Schrödinger and Heisenberg representations is a cornerstone of quantum mechanics. However, this relationship remains unclear in the non-Hermitian regime…
Non-Hermitian Generalization of Rayleigh-Schrödinger Perturbation Theory
Wei-Ming Chen, Yen-Ting Lin, Chia-Yi Ju
While perturbation theories constitute a significant foundation of modern quantum system analysis, extending them from the Hermitian to the non-Hermitian regime remains a non-trivi…
Evidence for Exceptional Points as Topological Defects
Chia-Yi Ju, Szu-Ming Chen
Studies have shown that quantum states reside in a Hilbert space bundle. When a quantum system depends on continuous external parameters, these parameters define additional dimensi…