Irreversible quantum evolution with quadratic generator: Review
A.E. Teretenkov
TL;DR
This review discusses the mathematical structure and solutions of GKSL-type equations with quadratic generators in bosonic and fermionic systems, focusing on Gaussian solutions and their derivations.
Contribution
It provides a comprehensive overview of the general forms and solution methods for quadratic generator quantum evolutions, unifying various approaches.
Findings
Gaussian solutions characterized by first and second moments
Multiple solution methods discussed
General forms of quadratic GKSL equations presented
Abstract
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.
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