Spectral problems in open quantum chaos
St\'ephane Nonnenmacher (IPHT)
TL;DR
This review explores recent advances in understanding quantum resonances and metastable states in open quantum chaos systems, emphasizing semiclassical analysis, chaotic classical dynamics, and new mathematical methods like quantum monodromy operators.
Contribution
It introduces recent methods and results in the spectral analysis of open quantum chaotic systems, including quantum maps and monodromy operators.
Findings
Distribution patterns of quantum resonances analyzed
Structure of metastable states characterized
Application of quantum monodromy operator method
Abstract
This review article will present some recent results and methods in the study of 1-particle quantum or wave scattering systems, in the semiclassical/high frequency limit, in cases where the corresponding classical/ray dynamics is chaotic. We will focus on the distribution of quantum resonances, and the structure of the corresponding metastable states. Our study includes the toy model of open quantum maps, as well as the recent quantum monodromy operator method.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.