Video library: Archive 2024

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Foundations of the theory of open quantum systems, September 10, 2024–May 12, 2025

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

© Steklov Math. Inst. of RAS, 2025