Semiclassical structure of chaotic resonance eigenfunctions
We study the resonance (or Gamow) eigenstates of open chaotic systems in the
semiclassical limit, distinguishing between left and right eigenstates of the nonunitary …
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 …
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 …
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 …
quantum scattering systems. We are particularly interested in open maps admitting a fractal …
[HTML][HTML] Average localization of resonances on the quantum repeller
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 …
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 …
show that the study of the resolvent, and hence of scattering and resonances, can be …
Localization of resonance eigenfunctions on quantum repellers
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 …
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
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 …
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 …
environment, which can describe quantum measurements. Under the condition of strong …
Multifractality of open quantum systems
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 …
for which the corresponding closed quantum system has multifractal properties. Adapting the …