A quasiprobability measure on Liouvillian eigenmodes reveals that quantized orbits persist in doubled phase space for damped quantum oscillators, formulating semiclassical quantization for open systems.
Tokieda, Exact diagonalization of a non- quadratic bosonic Liouvillian with two-body loss, arXiv:2603.27480
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Extracting the physical content of Liouvillian eigenmodes: Semiclassical quantization
A quasiprobability measure on Liouvillian eigenmodes reveals that quantized orbits persist in doubled phase space for damped quantum oscillators, formulating semiclassical quantization for open systems.