A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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2026 3representative citing papers
Quasiperiodic critical regimes of a modulated Hatano–Nelson model under PBC exhibit the non-Hermitian skin effect under OBC, with an exact Lyapunov exponent fixing the left/right skin boundary.
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.
citing papers explorer
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Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space
A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.
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Interplay of Quasiperiodic Criticality and the Non-Hermitian Skin Effect
Quasiperiodic critical regimes of a modulated Hatano–Nelson model under PBC exhibit the non-Hermitian skin effect under OBC, with an exact Lyapunov exponent fixing the left/right skin boundary.
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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.