The paper derives a gauge-invariant excitation-detection weight from left and right Liouvillian eigenoperators and uses its phase-space maps to identify mode-suppressing preparations and projected slow-state routing in driven Kerr resonators.
Its excitation overlap with a nonstationary mode is Ik ≡E k ˆXδL = Tr h ˆℓ† kδL(ˆρss) i , k >0.(B12) ThematrixMandtheinjectionfactorsI k describediffer- ent effects
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Preparation geometry and slow-sector routing in driven Kerr resonators: an operational spectral theory of Liouvillians
The paper derives a gauge-invariant excitation-detection weight from left and right Liouvillian eigenoperators and uses its phase-space maps to identify mode-suppressing preparations and projected slow-state routing in driven Kerr resonators.