Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes this for all rates the semiclassical limit. This result corresponds to well-established ergodicity closed systems. Specifically, we generalize Ulam's matrix approximation of Perron-Frobenius operator, giving rise conditionally invariant measures various rates. There are many approximations leading same rate and conjecture criterion...

We demonstrate that quantum dynamical localization in the Arnold web of higher-dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus wave packets and eigenstates may explore more intricate than previously expected. Such a drift typically occurs, as resonance channels widen toward large chaotic region or junction with other channels. If this strong enough, we find destroyed. establish drift-induced delocalization transition universal described single parameter....

Abstract For the paradigmatic three-disk scattering system, we confirm a recent conjecture for open chaotic systems, which claims that resonance states are composed of two factors. In particular, demonstrate one factor is given by universal exponentially distributed intensity fluctuations. The other factor, supposed to be classical density depending on lifetime state, found very well described construction. Furthermore, ray-segment scars, recently observed in dielectric cavities, dominate...

Resonance states in quantum chaotic scattering systems have a multifractal structure that depends on their decay rate. We show how classical dynamics describes resonance of all rates the semiclassical limit. This result for corresponds to well-established ergodicity closed systems. Specifically, we generalize Ulam's matrix approximation Perron-Frobenius operator, giving rise conditionally invariant measures various rates. There are many approximations leading same rate and conjecture...

We demonstrate that quantum dynamical localization in the Arnold web of higher-dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus wave packets and eigenstates may explore more intricate than previously expected. Such a drift typically occurs, as resonance channels widen toward large chaotic region or junction with other channels. If this strong enough, we find destroyed. establish drift-induced delocalization transition universal described single parameter....

Resonance states of the 3-disk scattering system are presented for first Casati wave number $k \approx 912$ and second 91242$. They show multifractal structure in phase space, similar to pioneering work by et al. [Physica D 131, 311 (1999)] an open chaotic quantum map. In position space we observe scarring along segments rays, related multifractality universal fluctuations, as recently found dielectric cavities. To best our knowledge this resonance state at has a much larger than published...

For the paradigmatic three-disk scattering system, we confirm a recent conjecture for open chaotic systems, which claims that resonance states are composed of two factors. In particular, demonstrate one factor is given by universal exponentially distributed intensity fluctuations. The other factor, supposed to be classical density depending on lifetime state, found very well described construction. Furthermore, ray-segment scars, recently observed in dielectric cavities, dominate every state...