Irreversible quantum evolution with quadratic generator: Review
Alexander Evgen’evich Teretenkov · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2019
We review results on GKSL-type equations with multi-modal generators which are quadratic in bosonic or fermionic creation and annihilation operators. General forms of such equations are presented. The Gaussian solutions are obtained in terms of equations for the first and the second moments. Different approaches for their solutions are discussed.