1. Irreversible quantum evolution with quadratic generators.
2. Exactly solvable models of non-Markovian quantum evolution.
3. General problems of theory of open quantum systems.
Main publications:
Alexander Teretenkov, Oleg Lychkovskiy, “Exact dynamics of quantum dissipative XX models: Wannier–Stark localization in the fragmented operator space”, Phys. Rev. B, 109:14 (2024), 140302 , 7 pp., arXiv: 2405.17310;
A. E. Teretenkov, “Singular value decomposition for skew-Takagi factorization with quantum applications”, Linear Multilinear Algebra, 70:22 (2022), 7762–7769
Tomasz Linowski, Alexander Teretenkov, Łukasz Rudnicki, “Dissipative evolution of quantum Gaussian states”, Phys. Rev. A, 106:5 (2022), 52206 , 12 pp., arXiv: 2105.12644;
Alexander E. Teretenkov, “Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit”, J. Phys. A, 54:26 (2021), 265302, 265302 , 24 pp., arXiv: 2008.02820;
A. E. Teretenkov, “Irreversible quantum evolution with quadratic generator: Review”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22:4 (2019), 19300019 , 26 pp., arXiv: 1912.13083