105 citations · 225 across the 7 of their papers we have counts for
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Phase-space correlations of chaotic eigenstates
Holger Schanz
It is shown that the Husimi representations of chaotic eigenstates are strongly correlated along classical trajectories. These correlations extend across the whole system size and,…
Directed Chaotic Transport in Hamiltonian Ratchets
Holger Schanz, Thomas Dittrich, Roland Ketzmerick
We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchet…
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…
Statistical properties of resonance widths for open Quantum Graphs
Tsampikos Kottos, Holger Schanz
We connect quantum compact graphs with infinite leads, and turn them into scattering systems. We derive an exact expression for the scattering matrix, and explain how it is related…
Form factor for a family of quantum graphs: An expansion to third order
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time from periodic-orbit theory. We consid…
The Leading Off-Diagonal Correction to the Form Factor of Large Graphs
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, , of a generic quantum graph with mixing classical dynamics and time-reversal sy…