A gauge-invariant non-Hermitian quantum theory is developed that generalizes the dynamical phase transition condition from Hermitian d-vector dot product zero to a real-part normalized dot product condition and identifies new transitions not captured by winding numbers.
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Gauge-Invariant Non-Hermitian Quantum Theory: Foundation and Applications to Dynamical Phase Transitions
A gauge-invariant non-Hermitian quantum theory is developed that generalizes the dynamical phase transition condition from Hermitian d-vector dot product zero to a real-part normalized dot product condition and identifies new transitions not captured by winding numbers.