Foundations of the theory of open quantum systems

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Foundations of the theory of open quantum systems
September 10–December 10, 2024, online via Zoom

We kindly ask all participants, including remote ones and those
watching recorded videos, to register at this link.

Fall Semester Schedule of 2024/2025:

Time: Tuesday 13:10 – 14:35

First lecture: September 10

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 10–December 10, 2024

Lecture 14. Equilibrium reservoir and KMS conditions. Quantum detailed balance A. E. Teretenkov December 10, 2024 13:10 online via Zoom
Lecture 13. Weak coupling limit: Derivation of master equations at the physical level of rigor A. E. Teretenkov December 3, 2024 13:10 online via Zoom
Lecture 12. Decoherence-free subsystems and subspaces. GKSL equation and averaging with respect classical Levy processes. Weak coupling limit A. E. Teretenkov November 26, 2024 13:10 online via Zoom
Lecture 11. Decoherence-free subalgebra as commutant. Canonical form of GKS generator with decoherence-free subalgebra A. E. Teretenkov November 19, 2024 13:10 online via Zoom
Lecture 10. Monotonicity of quantum relative entropy. Elements of resource theory. Decoherence-free subalgebras A. E. Teretenkov November 12, 2024 13:10 online via Zoom
Lecture 9. Quantum relative entropy A. E. Teretenkov November 5, 2024 13:10 online via Zoom
Lecture 8. Instruments and regression formulae. Generator of completely positive semigroup A. E. Teretenkov October 29, 2024 13:10 online via Zoom
Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations A. E. Teretenkov October 22, 2024 13:10 online via Zoom
Lecture 6. Relationship between longitudinal and transverse relaxation times. Resonance fluorescence. Mollow spectrum. Generalized Bloch equations A. E. Teretenkov October 15, 2024 13:10 online via Zoom
Lecture 5. Dynamics of 2-level system. Bloch equations in external field, in equilibrium reservoir and in case of pure dephasing A. E. Teretenkov October 8, 2024 13:10 online via Zoom
Lecture 4. Heisenberg picture for open systems. GKSL generator of classical diffusion type. Classical and quantum regression formulae A. E. Teretenkov October 1, 2024 13:10 online via Zoom
Lecture 3. Decoherence and Lorentzian spectrum. Pure dephasing. Pauli master equation. Monotonicity of classical relative entropy A. E. Teretenkov September 24, 2024 13:10 online via Zoom
Lecture 2. Selective and non-selective measurements. Unitary dynamics. GKSL generator in generic case A. E. Teretenkov September 17, 2024 13:10 online via Zoom
Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics A. E. Teretenkov September 10, 2024 13:10 online via Zoom