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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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.
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.
Weak anharmonicity induces dissipation into dark states of photon-emitter pairs; first- and second-order perturbative corrections to the wavefunction are derived and applied to the master equation.
Claim: a quasiperiodically modulated non-Hermitian SSH chain supports coexisting topological Anderson insulator and multifractal critical phases with exact analytical boundaries; the analytical phase diagram is internally inconsistent for large v.
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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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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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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Perturbative Analysis of Dark State Dynamics in Weakly Anharmonic Photon-Emitter Pairs
Weak anharmonicity induces dissipation into dark states of photon-emitter pairs; first- and second-order perturbative corrections to the wavefunction are derived and applied to the master equation.
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Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
Claim: a quasiperiodically modulated non-Hermitian SSH chain supports coexisting topological Anderson insulator and multifractal critical phases with exact analytical boundaries; the analytical phase diagram is internally inconsistent for large v.