Quantum Markov processes

Garant předmětu:

Jaroslav Novotný

Lecturer:

Jaroslav Novotný

Tutor:

Supervisor:

Department of Physics

Synopsis:

The course is devoted to a mathematical structure, spectral properties and applications of quantum Markov processes. Knowledge of fundamentals of open quantum systems is expected.

1. Microscopic derivation, Nakajima-Zwanzig equation, weak coupling limit, master equation for particular quantum systems

2. Spectral properties, asymptotic spaces in Schrödinger and Heisenberg picture, attractor equations, convergence rate, perturbation theory

3. Thermodynamics of quantum Markov processes, entropy measures and their properties, maximum entropy principle, entropy production, generalized Gibbs states

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

H.-P. Breuer and F. Petruccione, The theory of open quantum systems, Oxford Univ. Press, 2002

Á. Rivas, S. F. Huelga, Open quantum systems, Springer-Verlag Berlin Heidelberg, 2012

G. Mahler, Quantum Thermodynamic Processes: Energy and Information Flow at the Nanoscale, Jenny Stanford Publishing, 2014

Note:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans: