Non-Hermitian systems exhibit irreversibility due to finite precision, amplification, and non-normality-induced mode mixing, creating a predictability horizon T_of without decoherence or nonlinearity.
For a2×2matrix, any analytic functionf(H)can be written asf(H) =αI+βHwhere the coefficients are determined by the eigenvaluesλ ± =±iηwith η= p γ2 −g 2
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Precision-Induced Irreversibility in non-Hermitian systems
Non-Hermitian systems exhibit irreversibility due to finite precision, amplification, and non-normality-induced mode mixing, creating a predictability horizon T_of without decoherence or nonlinearity.