Geometric curvature of a metric-induced connection and non-trivial holonomies around non-contractible loops obstruct global Hermitianization of quasi-Hermitian quantum systems.
El-Ganainy , author K
6 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 6representative citing papers
Hermitian weighted graphs enable universal exact realization of arbitrary complex QL-bits as real-spectrum eigenstates, with discrete {0, ±1, ±i} couplings dense in the state space.
Non-Hermitian XY model provides first spin-based realization of an idle-level quantum Otto engine where non-Hermiticity compresses the idle gap to improve work and efficiency.
Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
Non-Hermitian systems admit equivalent descriptions in isomorphic Hilbert spaces related by Krein metrics, with physical quantities transported accordingly; illustrated on a two-level spin model via Robertson uncertainty relation as consistency test.
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Real-time pseudo entropy and modular-Hamiltonian correlations
Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.