The non-Hermitian skin effect originates from spectral instability and non-reciprocity instead of point-gap winding of the Bloch Hamiltonian.
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Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
Above a critical parametric drive, a cross-Kerr-coupled resonator chain enters a nonlinearity-dictated topological phase with spontaneous symmetry breaking and non-trivial bulk-boundary correspondence.
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Pseudospectral phenomena and the origin of the non-Hermitian skin effect
The non-Hermitian skin effect originates from spectral instability and non-reciprocity instead of point-gap winding of the Bloch Hamiltonian.
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Emergence of Hermitian topology from non-Hermitian knots
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
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Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
Above a critical parametric drive, a cross-Kerr-coupled resonator chain enters a nonlinearity-dictated topological phase with spontaneous symmetry breaking and non-trivial bulk-boundary correspondence.