Flooding of wave functions in multi-dimensional mixed systems and the possibility of experimental observation

Dynamical Tunneling in Many-Dimensional Chaotic Systems

“…4(a), the corresponding wave function in the momentum representation exhibits dynamical localization in the chaotic sea. As was shown in [28], and will be reported in [25], there appear exponentially many complex orbits connecting the torus and chaotic region, nevertheless such "flooding" of complex orbits are suppressed because of the destructive interference in the chaotic region.…”

“…1 in the chaotic sea. As was shown in [27], and will be reported in [24], there appear exponentially many complex orbits connecting the torus and chaotic region, nevertheless such ''flooding'' of complex orbits are suppressed because of the destructive interference in the chaotic region. For larger , chaotic tunneling recovers (see Fig.…”

“…Using the finite-size scaling technique [17,22,23], we obtained numerical evidence of the Anderson transition in the chaotic sea. The details will be reported elsewhere [24]. We show how the scaling parameter [23], which is proportional to the localization length and the inverse of diffusion constant in the insulating and metallic phase, respectively, depends on in Fig.…”