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Five Lectures On Dissipative Master Equations
Berthold-Georg Englert, Giovanna Morigi
abstract: 1 First Lecture: Basics
1.1 Physical Derivation of the Master Equation
1.2 Some Simple Implications
1.3 Steady State
1.4 Action to the Left
2 Second Lecture: Eigenvalues and Eigenvectors of L
2.1 A Simple Case First
2.2 The General Case
3 Third Lecture: Completeness of the Damping Bases
3.1 Phase Space Functions
3.2 Completeness of the Eigenvectors of L
3.3 Positivity Conservation
3.4 Lindblad Form of Liouville Operators
4 Fourth Lecture: Quantum-Optical Applications
4.1 Periodically Driven Damped Oscillator
4.2 Conditional and Unconditional Evolution
4.3 Physical Signicance of Statistical Operators
5 Fifth Lecture: Statistics of Detected Atoms
5.1 Correlation Functions
5.2 Waiting Time Statistics
5.3 Counting Statistics
- oai_identifier:
- oai:arXiv.org:quant-ph/0206116
- categories:
- quant-ph
- comments:
- 58 pages, 10 figures; book chapter to appear in ``Coherent Evolution
in Noisy Environments'', Lecture Notes in Physics, (Springer Verlag,
Berlin-Heidelberg-New York). Notes of lectures given in Dresden,23-27 April
2001
- doi:
- 10.1007/3-540-45855-7_2
- arxiv_id:
- quant-ph/0206116
- journal_ref:
- Lecture Notes in Physics, vol. 611, 2002, pp. 55-106
- created:
- 2002-06-18
Full article ▸
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