Foundations of the theory of open quantum systems

SEMINARS

Foundations of the theory of open quantum systems
September 3, 2025–May 27, 2026, Steklov Mathematical Institute, Room 430 (8 Gubkina)

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watching recorded videos, to register at this link.

Spring Semester Schedule of 2025/2026:

Time: Wednesday 14:45 – 16:10

First lecture: February 4

RSS: Forthcoming seminars

Lecturer
Teretenkov Aleksandr Evgenevich

Organizations
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center

Foundations of the theory of open quantum systems, September 3, 2025–May 27, 2026

Lecture 15. Feynman–Wilcox formula. Quadratic superoperator A. E. Teretenkov February 11, 2026 14:45 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 14. Calculations with linear and quadratic forms in bosonic creation and annihilation operators A. E. Teretenkov February 4, 2026 14:45 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 13. Secular approximation. Quantum detailed balance A. E. Teretenkov December 10, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 12. Weak coupling limit at physical level of rigor A. E. Teretenkov November 26, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 11. Collision model. GKSL equation and averaging with respect to classical processes A. E. Teretenkov November 19, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 10. Quantum relative entropy and its monotonicity A. E. Teretenkov November 12, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 9. Instruments and regression formulae. Generator of completely positive semigroup A. E. Teretenkov November 5, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 8. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations A. E. Teretenkov October 29, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 7. Pure dephasing of two-level system. Spectrum of resonance fluorescence. Generalized Bloch equations A. E. Teretenkov October 22, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 6. Bloch equations in external field and in equilibrium reservoir A. E. Teretenkov October 15, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 5. Quantum regression formulae. Dynamics of 2-level system. Bloch equations for unitary dynamics A. E. Teretenkov October 8, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 4. Monotonicity of classical relative entropy. Heisenberg picture for open systems. GKSL generator of classical diffusion type A. E. Teretenkov October 1, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 3. GKSL generator in generic case. Decoherence and Lorentzian spectrum. Pure dephasing. Pauli master equation A. E. Teretenkov September 24, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 2. Density matrix of subsystem and partial trace. Selective and non-selective measurements. Unitary dynamics A. E. Teretenkov September 10, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)
Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics A. E. Teretenkov September 3, 2025 13:10 Steklov Mathematical Institute, Room 430 (8 Gubkina)