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Foundations of the theory of open quantum systems
(September 10, 2024–May 12, 2025, online)
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| Foundations of the theory of open quantum systems, September 10, 2024–May 12, 2025 |
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May 12, 2025 (Mon) |
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| 1. |
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
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May 5, 2025 (Mon) |
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| 2. |
Lecture 28. Master equations in strong field and Floquet theory. Quantum Boltzmann equation
A. E. Teretenkov
May 5, 2025 13:10, online
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April 28, 2025 (Mon) |
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| 3. |
Lecture 27. Hu-Paz-Zhang equation. Spin-boson model without rotating wave approximation
A. E. Teretenkov
April 28, 2025 13:10, online
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April 21, 2025 (Mon) |
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| 4. |
Lecture 26. Other projectors and conditional expectations. Caldeira-Leggett model
A. E. Teretenkov
April 21, 2025 13:10, online
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April 14, 2025 (Mon) |
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| 5. |
Lecture 25. Time-local master equation. Kubo-van Kampen cumulants
A. E. Teretenkov
April 14, 2025 13:10, online
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April 7, 2025 (Mon) |
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| 6. |
Lecture 24. Correlation functions in the Bogoliubov-van Hove limit. Nakajima–Zwanzig equation
A. E. Teretenkov
April 7, 2025 13:10, online
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March 31, 2025 (Mon) |
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| 7. |
Lecture 23. Corrections to Bogolubov-van Hove limit
A. E. Teretenkov
March 31, 2025 13:10, online
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March 24, 2025 (Mon) |
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| 8. |
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
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March 17, 2025 (Mon) |
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| 9. |
Lecture 21. Spin-boson model in rotating wave approximation. Friedrichs model. Pseudomode approach
A. E. Teretenkov
March 17, 2025 13:10, online
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March 10, 2025 (Mon) |
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| 10. |
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
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March 3, 2025 (Mon) |
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| 11. |
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
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February 24, 2025 (Mon) |
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| 12. |
Lecture 18. Fermionic dynamics with quadratic generator. Quadratic dynamics averaged over Poisson process
A. E. Teretenkov
February 24, 2025 13:10, online
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February 17, 2025 (Mon) |
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| 13. |
Lecture 17. Equations for normal symbol. Solution of equations for mean and covariance matrices
A. E. Teretenkov
February 17, 2025 13:10, online
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February 10, 2025 (Mon) |
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| 14. |
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
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February 3, 2025 (Mon) |
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| 15. |
Lecture 15. Calculations with linear and quadratic forms in bosonic creation and annihilation operators
A. E. Teretenkov
February 3, 2025 13:10, online
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December 10, 2024 (Tue) |
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| 16. |
Lecture 14. Equilibrium reservoir and KMS conditions. Quantum detailed balance
A. E. Teretenkov
December 10, 2024 13:10, online
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December 3, 2024 (Tue) |
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| 17. |
Lecture 13. Weak coupling limit: Derivation of master equations at the physical level of rigor
A. E. Teretenkov
December 3, 2024 13:10, online
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November 26, 2024 (Tue) |
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| 18. |
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
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November 19, 2024 (Tue) |
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| 19. |
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
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November 12, 2024 (Tue) |
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| 20. |
Lecture 10. Monotonicity of quantum relative entropy. Elements of resource theory. Decoherence-free subalgebras
A. E. Teretenkov
November 12, 2024 13:10, online
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November 5, 2024 (Tue) |
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| 21. |
Lecture 9. Quantum relative entropy
A. E. Teretenkov
November 5, 2024 13:10, online
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October 29, 2024 (Tue) |
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| 22. |
Lecture 8. Instruments and regression formulae. Generator of completely positive semigroup
A. E. Teretenkov
October 29, 2024 13:10, online
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October 22, 2024 (Tue) |
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| 23. |
Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations
A. E. Teretenkov
October 22, 2024 13:10, online
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October 15, 2024 (Tue) |
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| 24. |
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
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October 8, 2024 (Tue) |
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| 25. |
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
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October 1, 2024 (Tue) |
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| 26. |
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
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September 24, 2024 (Tue) |
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| 27. |
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
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September 17, 2024 (Tue) |
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| 28. |
Lecture 2. Selective and non-selective measurements. Unitary dynamics. GKSL generator in generic case
A. E. Teretenkov
September 17, 2024 13:10, online
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September 10, 2024 (Tue) |
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| 29. |
Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics
A. E. Teretenkov
September 10, 2024 13:10, online
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