Irreversible quantum evolution with quadratic generator: Review

• URL: http://arxiv.org/abs/1912.13083v2
• Date: Sat, 25 Jan 2020 11:10:00 GMT
• Title: Irreversible quantum evolution with quadratic generator: Review
• Authors: A.E. Teretenkov
• Abstract summary: We review results on GKSL-type equations with multi-modal generators which are quadratic in bosonic or fermionic creation and operators. The Gaussian solutions are obtained in terms of equations for the first and the second moments.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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