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Foundations of the theory of open quantum systems
September 10, 2024–May 26, 2025, online

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Spring Semester Schedule of 2024/2025:

Time: Monday 13:10 – 14:35

First lecture: February 3


Lecturer
Teretenkov Aleksandr Evgenevich

Institutions
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 26, 2025

February 3, 2025 (Mon)
1. Lecture II.1. Calculations with linear and quadratic forms in bosonic creation and annihilation operators
A. E. Teretenkov
February 3, 2025 13:10, online
  

December 10, 2024 (Tue)
2. Lecture 14. Equilibrium reservoir and KMS conditions. Quantum detailed balance
A. E. Teretenkov
December 10, 2024 13:10, online
A. E. Teretenkov
  

December 3, 2024 (Tue)
3. Lecture 13. Weak coupling limit: Derivation of master equations at the physical level of rigor
A. E. Teretenkov
December 3, 2024 13:10, online
A. E. Teretenkov
  

November 26, 2024 (Tue)
4. 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
A. E. Teretenkov
  

November 19, 2024 (Tue)
5. 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
A. E. Teretenkov
  

November 12, 2024 (Tue)
6. Lecture 10. Monotonicity of quantum relative entropy. Elements of resource theory. Decoherence-free subalgebras
A. E. Teretenkov
November 12, 2024 13:10, online
A. E. Teretenkov
  

November 5, 2024 (Tue)
7. Lecture 9. Quantum relative entropy
A. E. Teretenkov
November 5, 2024 13:10, online
A. E. Teretenkov
  

October 29, 2024 (Tue)
8. Lecture 8. Instruments and regression formulae. Generator of completely positive semigroup
A. E. Teretenkov
October 29, 2024 13:10, online
A. E. Teretenkov
  

October 22, 2024 (Tue)
9. Lecture 7. Completely positive maps. Choi-Jamiolkowski correspondence. Kraus and Stinespring representations
A. E. Teretenkov
October 22, 2024 13:10, online
A. E. Teretenkov
  

October 15, 2024 (Tue)
10. 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
A. E. Teretenkov
  

October 8, 2024 (Tue)
11. 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
A. E. Teretenkov
  

October 1, 2024 (Tue)
12. 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
A. E. Teretenkov
  

September 24, 2024 (Tue)
13. 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
A. E. Teretenkov
  

September 17, 2024 (Tue)
14. Lecture 2. Selective and non-selective measurements. Unitary dynamics. GKSL generator in generic case
A. E. Teretenkov
September 17, 2024 13:10, online
A. E. Teretenkov
  

September 10, 2024 (Tue)
15. Lecture 1. Introduction. Levels of open systems description. States and observables in quantum mechanics
A. E. Teretenkov
September 10, 2024 13:10, online
A. E. Teretenkov
  
 
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