Exceptional points in non-Hermitian Hamiltonians correspond to multi-block exceptional points in the no-jump Liouvillian; quantum jump terms modify the block structure, demonstrated in qubit and qutrit models with population sinks.
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The convergence crop-length of the polar-decomposition topological invariant in finite non-Hermitian chains is shown to be governed by skin-effect decay lengths, and is predicted by random-forest regression using root-derived features.
Hilbert-space holonomy acts as a geometric criterion that restricts complex spectra to the most symmetric sectors in minimal fragmented non-Hermitian models.
In Gaussian open fermion chains, the dominant natural orbital locks to the Euclidean-normalized slow right eigenmode of the relaxation matrix, providing a mode-resolved diagnostic of hidden skin order.
Phase diagrams for a purely real spectrum are obtained in the two-particle sector of a two-chain interacting Hatano–Nelson–Hubbard model, with winding-number and Lindblad checks of boundary and open-system behavior.
For pseudo-Hermitian systems the norm-preserving Berry connection is the Hermitian one obtained via the Hilbert-space metric; the standard biorthogonal connection mixes eigenspace geometry with metric artifacts, and can vanish where the conventional one is nonzero.
citing papers explorer
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Multi-block exceptional points in open quantum systems
Exceptional points in non-Hermitian Hamiltonians correspond to multi-block exceptional points in the no-jump Liouvillian; quantum jump terms modify the block structure, demonstrated in qubit and qutrit models with population sinks.
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Machine learning prediction of the convergence criterion for a topological invariant of finite non-Hermitian chains
The convergence crop-length of the polar-decomposition topological invariant in finite non-Hermitian chains is shown to be governed by skin-effect decay lengths, and is predicted by random-forest regression using root-derived features.
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Filling-Sensitive Spectral Complexity from Hilbert-Space Holonomy in Fragmented Non-Hermitian Systems
Hilbert-space holonomy acts as a geometric criterion that restricts complex spectra to the most symmetric sectors in minimal fragmented non-Hermitian models.
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Natural-orbital locking reveals hidden steady-state skin order in Gaussian open fermion chains
In Gaussian open fermion chains, the dominant natural orbital locks to the Euclidean-normalized slow right eigenmode of the relaxation matrix, providing a mode-resolved diagnostic of hidden skin order.
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The Two Orbital, Interacting Hatano-Nelson Model
Phase diagrams for a purely real spectrum are obtained in the two-particle sector of a two-chain interacting Hatano–Nelson–Hubbard model, with winding-number and Lindblad checks of boundary and open-system behavior.
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Covariant formulation of the Berry connection in non-Hermitian systems
For pseudo-Hermitian systems the norm-preserving Berry connection is the Hermitian one obtained via the Hilbert-space metric; the standard biorthogonal connection mixes eigenspace geometry with metric artifacts, and can vanish where the conventional one is nonzero.