Non-Bloch Quantum Geometry of Non-Hermitian Systems

• URL: http://arxiv.org/abs/2605.19272v1
• Date: Tue, 19 May 2026 02:38:47 GMT
• Title: Non-Bloch Quantum Geometry of Non-Hermitian Systems
• Abstract summary: We formulate quantum geometry for non-Hermitian systems under open boundary conditions.<n>By defining quantum-geometric quantities in both real-space and non-Bloch representations, we establish a unified framework.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We formulate quantum geometry for non-Hermitian systems under open boundary conditions. By defining quantum-geometric quantities in both real-space and non-Bloch representations, we establish a unified framework beyond conventional Bloch band theory. Our central result is an exact equivalence between the real-space integrated quantum metric and a non-Bloch integrated quantum metric defined on the generalized Brillouin zone. We further introduce localized non-Bloch Wannier functions in the presence of the non-Hermitian skin effect and show that the non-Bloch integrated quantum metric gives the gauge-invariant part of their spread functional. These results establish quantum geometry as a natural framework for characterizing open-boundary non-Hermitian band structures and the localization properties encoded in skin modes.

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