Trace-class spectra of irreducible Gaussian quantum Markov semigroups

Name: Trace-class spectra of irreducible Gaussian quantum Markov semigroups
Uploaded: 2026-10-07T14:24:04.018033+00:00
Duration: 641 s
Description: This work analyzes how trace-class operators evolve under quadratic bosonic Liouvillians using Gaussian quantum Markov semigroups. It provides explicit spectral formulas for three drift regimes: stable, strictly unstable, and periodic critical drift. The results extend classical Ornstein–Uhlenbeck theory to the quantum setting on finite-mode Fock space.

This work analyzes how trace-class operators evolve under quadratic bosonic Liouvillians using Gaussian quantum Markov semigroups. It provides explicit spectral formulas for three drift regimes: stable, strictly unstable, and periodic critical drift. The results extend classical Ornstein–Uhlenbeck theory to the quantum setting on finite-mode Fock space.

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