In a driven non-Hermitian SSH chain, a biorthogonal dynamical phase transition occurs across a finite parameter region where the conventional self-normal rate remains analytic, so the two definitions are not equivalent.
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Biorthogonal-only Floquet Dynamical Quantum Phase Transitions
In a driven non-Hermitian SSH chain, a biorthogonal dynamical phase transition occurs across a finite parameter region where the conventional self-normal rate remains analytic, so the two definitions are not equivalent.