Interacting extensions of transient amplification and exceptional degeneracies

Explore how transient amplification and exceptional degeneracies interact in non-Gaussian many-body systems with interactions.

Background

The paper analyzes finite-time driven dynamics in an imbalanced-pairing Kitaev chain using Gaussian-state methods and a biorthogonal correlation projector. Within this quadratic setting, transient passages through broken-spectrum regions produce amplified preparation memory, while exceptional endpoints remain regular at finite times and reveal their singular scale only through long-time crossover behavior.

The authors identify extending this analysis beyond Gaussian systems as an unresolved direction, specifically to determine how transient non-Hermitian amplification and exceptional degeneracies behave when genuine many-body interactions are present.