Semiclassical structure of chaotic resonance eigenfunctions

JP Keating, M Novaes, SD Prado, M Sieber - Physical review letters, 2006 - APS
We study the resonance (or Gamow) eigenstates of open chaotic systems in the
semiclassical limit, distinguishing between left and right eigenstates of the nonunitary …

Fractal Weyl laws in discrete models of chaotic scattering

S Nonnenmacher, M Zworski - Journal of Physics A …, 2005 - iopscience.iop.org
We analyse simple models of quantum chaotic scattering, namely quantized open baker's
maps. We numerically compute the density of quantum resonances in the semiclassical …

Distribution of resonances for open quantum maps

S Nonnenmacher, M Zworski - Communications in mathematical physics, 2007 - Springer
We analyze a simple model of quantum chaotic scattering system, namely the quantized
open baker's map. This model provides a numerical confirmation of the fractal Weyl law for …

Resonant eigenstates for a quantized chaotic system

S Nonnenmacher, M Rubin - Nonlinearity, 2007 - iopscience.iop.org
We study the spectrum of quantized open maps as a model for the resonance spectrum of
quantum scattering systems. We are particularly interested in open maps admitting a fractal …

[HTML][HTML] Average localization of resonances on the quantum repeller

J Montes, GG Carlo, F Borondo - Communications in Nonlinear Science …, 2024 - Elsevier
There has been a very recent surge in the interest on the localization properties of
resonances associated to partially open (scattering) systems, which are of great relevance …

From open quantum systems to open quantum maps

S Nonnenmacher, J Sjöstrand, M Zworski - … in mathematical physics, 2011 - Springer
For a class of quantized open chaotic systems satisfying a natural dynamical assumption we
show that the study of the resolvent, and hence of scattering and resonances, can be …

Localization of resonance eigenfunctions on quantum repellers

L Ermann, GG Carlo, M Saraceno - Physical review letters, 2009 - APS
We introduce a new phase space representation for open quantum systems. This is a very
powerful tool to help advance in the study of the morphology of their eigenstates. We apply it …

On the resonance eigenstates of an open quantum baker map

JP Keating, S Nonnenmacher, M Novaes… - Nonlinearity, 2008 - iopscience.iop.org
We study the resonance eigenstates of a particular quantization of the open baker map. For
any admissible value of Planck's constant, the corresponding quantum map is a subunitary …

Universality of spectra for interacting quantum chaotic systems

W Bruzda, M Smaczyński, V Cappellini… - Physical Review E …, 2010 - APS
We analyze a model quantum dynamical system subjected to periodic interaction with an
environment, which can describe quantum measurements. Under the condition of strong …

Multifractality of open quantum systems

AM Bilen, I García-Mata, B Georgeot, O Giraud - Physical Review E, 2019 - APS
We study the eigenstates of open maps whose classical dynamics is pseudointegrable and
for which the corresponding closed quantum system has multifractal properties. Adapting the …