The memory-kernel generator QLQ in the Jaynes-Cummings model is non-Hermitian yet possesses a strictly real spectrum for vacuum and thermal baths, protected by pseudo-Hermiticity with an explicit positive-definite metric.
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A symmetry-protected pseudo-Hermitian phase of quantum memory-kernel generators
The memory-kernel generator QLQ in the Jaynes-Cummings model is non-Hermitian yet possesses a strictly real spectrum for vacuum and thermal baths, protected by pseudo-Hermiticity with an explicit positive-definite metric.