The Spectral Gap of a Gaussian Quantum Markovian Generator
The Spectral Gap of a Gaussian Quantum Markovian Generator
Gaussian quantum Markov semigroups are the natural non-commutative extension of classical Ornstein-Uhlenbeck semigroups. They arise in open quantum systems of bosons where canonical non-commuting random variables of positions and momenta come into play. If there exits a faithful invariant density we explicitly compute the optimal exponential convergence rate, namely the …