Reduced and Extended Weak Coupling Limit
J. Derezinski, W. De Roeck
TL;DR
This paper reviews recent advances in the extended weak coupling limit, focusing on the mathematical framework of completely positive semigroups and their dilations, and introduces a simplified construction of quadratic noises.
Contribution
It provides an extended review and a simplified construction method for quadratic noises within the extended weak coupling limit framework.
Findings
Clarified the mathematical structure of the extended weak coupling limit.
Presented an easier construction of quadratic noises.
Enhanced understanding of completely positive semigroups and their dilations.
Abstract
We give an extended review of recent work on the extended weak coupling limit. Background material on completely positive semigroups and their unitary dilations is given, as well as a particularly easy construction of `quadratic noises'.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Random Matrices and Applications · Quantum chaos and dynamical systems