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The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics
J. A. Mendez-Bermudez, Tsampikos Kottos, Doron Cohen
Considering a quantized chaotic system, we analyze the evolution of its eigenstates as a result of varying a control parameter. As the induced perturbation becomes larger, there is…
Quantum pumping: The charge transported due to a translation of a scatterer
Doron Cohen, Tsampikos Kottos, Holger Schanz
The amount of charge which is pushed by a moving scatterer is , where is the displacement of the scatterer. The question is what is . Does it depend on the tran…
Current relaxation in nonlinear random media
Tsampikos Kottos, Matthias Weiss
We study the current relaxation of a wave packet in a nonlinear random sample coupled to the continuum and show that the survival probability decays as . For inter…
Quantum decay of an open chaotic system: a semiclassical approach
Mathias Puhlmann, Holger Schanz, Tsampikos Kottos +1
We study the quantum probability to survive in an open chaotic system in the framework of the van Vleck-Gutzwiller propagator and present the first such calculation that accounts f…
Probing the eigenfunction fractality with a stop watch
J. A. Mendez-Bermudez, Tsampikos Kottos
We study numerically the distribution of scattering phases and of Wigner delay times for the power-law banded random matrix (PBRM) model at criticalit…