Course on Dynamics of Open Quantum Systems (2007)
UFYS3020   Dynamics of Open Quantum Systems (20h + 5h Exercises)        (2 ov/ 4op.)
 
Programme
 
Markovian Theory
1.    Microscopic derivation of Markovian master equations.
2.    The Lindblad master equation .
3.    Applications: Bosonic reservoirs.
a)    Decay of a two-level atom.
b)    Caldeira-Leggett master equation.
c)    The damped harmonic oscillator: Methods of solution of the master equation and study of the dynamics.
 
Non-Markovian Theory
 
4.    Phenomenological approach
a)    Master equations with memory kernels.
b)    Methods of solution of the master equation using the Laplace transform.
c)    Example: the two-level atom.
 
5.    Microscopic approach: The Redfield master equation.
6.    Exact generalized master equations.
a)    Non-Markovian decay of a two-level atom.
b)    Quantum Brownian motion.
7.    Environment induced decoherence and the quantum-classical border.
 
Lectures (pdf)
 (New lectures coming soon)
 
Lecture 1  
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10