Sublattice symmetry in any 1D quadratic bosonic pairing Hamiltonian automatically implies an effective time-reversal symmetry of the dynamical matrix, enabling a symmetry-protected skin effect distinct from quadrature decoupling.
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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.
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Symmetry as a route to generalized bosonic Kitaev chains
Sublattice symmetry in any 1D quadratic bosonic pairing Hamiltonian automatically implies an effective time-reversal symmetry of the dynamical matrix, enabling a symmetry-protected skin effect distinct from quadrature decoupling.
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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.