546 citations · 1.7k across the 58 of their papers we have counts for
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Resonance-assisted tunneling in mixed regular-chaotic systems
Peter Schlagheck, Amaury Mouchet, Denis Ullmo
We present a comprehensive theory of resonance-assisted tunneling in quantum systems that exhibit a mixed regular-chaotic classical phase space structure. After general considerati…
Resonance- and Chaos-Assisted Tunneling
Peter Schlagheck, Christopher Eltschka, Denis Ullmo
We consider dynamical tunneling between two symmetry-related regular islands that are separated in phase space by a chaotic sea. Such tunneling processes are dominantly governed by…
On Breaking Time Reversal in a Simple, Smooth, Chaotic System
S. Tomsovic, D. Ullmo, T. Nagano
Within random matrix theory, the statistics of the eigensolutions depend fundamentally on the presence (or absence) of time reversal symmetry. Accepting the Bohigas-Giannoni-Schmit…
Resonance-Assisted Tunneling
Olivier Brodier, Peter Schlagheck, Denis Ullmo
We present evidence that tunneling processes in near-integrable systems are enhanced due to the manifestation of nonlinear resonances and their respective island chains in phase sp…
Resonance-assisted tunneling in near-integrable systems
Olivier Brodier, Peter Schlagheck, Denis Ullmo
Dynamical tunneling between symmetry related invariant tori is studied in the near-integrable regime. Using the kicked Harper model as an illustration, we show that the exponential…