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Foundations of the theory of open quantum systems
(September 3–December 24, 2025)
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| Foundations of the theory of open quantum systems, September 3–December 24, 2025 |
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December 3, 2025 (Wed) |
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| 1. |
Lecture 13. Foundations of the theory of open quantum systems I
A. E. Teretenkov
December 3, 2025 13:10
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November 26, 2025 (Wed) |
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| 2. |
Lecture 12. Weak coupling limit at physical level of rigor
A. E. Teretenkov
November 26, 2025 13:10
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November 19, 2025 (Wed) |
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| 3. |
Lecture 11. Collision model. GKSL equation and averaging with respect to classical processes
A. E. Teretenkov
November 19, 2025 13:10
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November 12, 2025 (Wed) |
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| 4. |
Lecture 10. Quantum relative entropy and its monotonicity
A. E. Teretenkov
November 12, 2025 13:10
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November 5, 2025 (Wed) |
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| 5. |
Lecture 9. Instruments and regression formulae. Generator of completely positive semigroup
A. E. Teretenkov
November 5, 2025 13:10
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October 29, 2025 (Wed) |
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| 6. |
Lecture 8. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations
A. E. Teretenkov
October 29, 2025 13:10
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October 22, 2025 (Wed) |
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Lecture 7. Pure dephasing of two-level system. Spectrum of resonance fluorescence. Generalized Bloch equations
A. E. Teretenkov
October 22, 2025 13:10
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October 15, 2025 (Wed) |
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| 8. |
Lecture 6. Bloch equations in external field and in equilibrium reservoir
A. E. Teretenkov
October 15, 2025 13:10
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October 8, 2025 (Wed) |
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| 9. |
Lecture 5. Quantum regression formulae. Dynamics of 2-level system. Bloch equations for unitary dynamics
A. E. Teretenkov
October 8, 2025 13:10
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October 1, 2025 (Wed) |
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| 10. |
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
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September 24, 2025 (Wed) |
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| 11. |
Lecture 3. GKSL generator in generic case. Decoherence and Lorentzian spectrum. Pure dephasing. Pauli master equation
A. E. Teretenkov
September 24, 2025 13:10
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September 10, 2025 (Wed) |
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| 12. |
Lecture 2. Density matrix of subsystem and partial trace. Selective and non-selective measurements. Unitary dynamics
A. E. Teretenkov
September 10, 2025 13:10
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September 3, 2025 (Wed) |
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| 13. |
Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics
A. E. Teretenkov
September 3, 2025 13:10
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