Regensburg 2022 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 43: Poster Session: Quantum Chaos and Many-Body Dynamics
DY 43.4: Poster
Thursday, September 8, 2022, 15:00–18:00, P2
Quantum signatures of partial barriers in 4D symplectic maps — •Jonas Stöber, Arnd Bäcker, and Roland Ketzmerick — TU Dresden, Institut für Theoretische Physik, Dresden, Germany
Partial transport barriers in the chaotic sea of Hamiltonian systems restrict classical transport, as they only allow for a small flux between phase-space regions. Quantum mechanically for 2D symplectic maps one has a universal quantum localizing transition: quantum transport is suppressed if the Planck cell of size h is much greater than the flux Φ, while mimicking classical transport if h is much smaller. The scaling parameter is Φ/h.
In a higher-dimensional 4D map one would naively expect that the relevant scaling parameter is Φ/h2. However, we show that due to dynamical localization along resonance channels the localization length modifies the scaling parameter. This is demonstrated for coupled kicked rotors for a partial barrier that generalizes a cantorus to higher dimensions.