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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The phase of the two-photon drive tunes Liouvillian exceptional points of order 2 and 3 in a cat qubit, identified by a winding-number topological invariant while preserving logical subspace fidelity.
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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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Controllable non-Hermitian topology in a dynamically protected cat qubit
The phase of the two-photon drive tunes Liouvillian exceptional points of order 2 and 3 in a cat qubit, identified by a winding-number topological invariant while preserving logical subspace fidelity.