Geometric curvature of a metric-induced connection and non-trivial holonomies around non-contractible loops obstruct global Hermitianization of quasi-Hermitian quantum systems.
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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.
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Geometric and Topological Obstructions to Hermitianization in Quasi-Hermitian Quantum Systems
Geometric curvature of a metric-induced connection and non-trivial holonomies around non-contractible loops obstruct global Hermitianization of quasi-Hermitian quantum systems.
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Non-Hermitian pseudo mobility edge in a coupled chain system
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.