Foundations of the theory of open quantum systems

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

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watching recorded videos, to register at this link.

Spring Semester Schedule of 2024/2025:

Time: Monday 13:10 – 14:35

First lecture: February 3

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, 2024–May 12, 2025

Lecture 29. Hartree equation and mean-field approximation. Projection methods for the derivation of nonlinear master equations and generalized Kawasaki-Gunton projector A. E. Teretenkov May 12, 2025 13:10 online
Lecture 28. Master equations in strong field and Floquet theory. Quantum Boltzmann equation A. E. Teretenkov May 5, 2025 13:10 online
Lecture 27. Hu-Paz-Zhang equation. Spin-boson model without rotating wave approximation A. E. Teretenkov April 28, 2025 13:10 online
Lecture 26. Other projectors and conditional expectations. Caldeira-Leggett model A. E. Teretenkov April 21, 2025 13:10 online
Lecture 25. Time-local master equation. Kubo-van Kampen cumulants A. E. Teretenkov April 14, 2025 13:10 online
Lecture 24. Correlation functions in the Bogoliubov-van Hove limit. Nakajima–Zwanzig equation A. E. Teretenkov April 7, 2025 13:10 online
Lecture 23. Corrections to Bogolubov-van Hove limit A. E. Teretenkov March 31, 2025 13:10 online
Lecture 22. Schrödinger equation with non-hermitian Hamiltonian. One-particle second quantization. Jaynes-Cummings model with dissipation. Non-Markovian resonance decay A. E. Teretenkov March 24, 2025 13:10 online
Lecture 21. Spin-boson model in rotating wave approximation. Friedrichs model. Pseudomode approach A. E. Teretenkov March 17, 2025 13:10 online
Lecture 20. Hierarchical dynamics of moments. Models with invariant Onsager space. Models with exactly solvable spectrum A. E. Teretenkov March 10, 2025 13:10 online
Lecture 19. Poisson type generators in fermionic case. Generators of diffusion type. Dynamics of arbitrary moments for quadratic generator A. E. Teretenkov March 3, 2025 13:10 online
Lecture 18. Fermionic dynamics with quadratic generator. Quadratic dynamics averaged over Poisson process A. E. Teretenkov February 24, 2025 13:10 online
Lecture 17. Equations for normal symbol. Solution of equations for mean and covariance matrices A. E. Teretenkov February 17, 2025 13:10 online
Lecture 16. Dynamics of first and second moments of creation and annihilation operators. Gaussian states and their dynamics A. E. Teretenkov February 10, 2025 13:10 online
Lecture 15. Calculations with linear and quadratic forms in bosonic creation and annihilation operators A. E. Teretenkov February 3, 2025 13:10 online
Lecture 14. Equilibrium reservoir and KMS conditions. Quantum detailed balance A. E. Teretenkov December 10, 2024 13:10 online
Lecture 13. Weak coupling limit: Derivation of master equations at the physical level of rigor A. E. Teretenkov December 3, 2024 13:10 online
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
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
Lecture 10. Monotonicity of quantum relative entropy. Elements of resource theory. Decoherence-free subalgebras A. E. Teretenkov November 12, 2024 13:10 online
Lecture 9. Quantum relative entropy A. E. Teretenkov November 5, 2024 13:10 online
Lecture 8. Instruments and regression formulae. Generator of completely positive semigroup A. E. Teretenkov October 29, 2024 13:10 online
Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations A. E. Teretenkov October 22, 2024 13:10 online
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
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
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
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
Lecture 2. Selective and non-selective measurements. Unitary dynamics. GKSL generator in generic case A. E. Teretenkov September 17, 2024 13:10 online
Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics A. E. Teretenkov September 10, 2024 13:10 online