Quantum kicked rotor and its variants: Chaos, localization and beyond
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …
Fundamental concepts of quantum chaos
M Robnik - The European Physical Journal Special Topics, 2016 - Springer
We review the fundamental concepts of quantum chaos in Hamiltonian systems. The
quantum evolution of bound systems does not possess the sensitive dependence on initial …
quantum evolution of bound systems does not possess the sensitive dependence on initial …
Statistical properties of the localization measure of chaotic eigenstates and the spectral statistics in a mixed-type billiard
We study the quantum localization in the chaotic eigenstates of a billiard with mixed-type
phase space [J. Phys. A: Math. Gen. 16, 3971 (1983) JPHAC5 0305-4470 10.1088/0305 …
phase space [J. Phys. A: Math. Gen. 16, 3971 (1983) JPHAC5 0305-4470 10.1088/0305 …
Universality in the spectral and eigenfunction properties of random networks
JA Mendez-Bermudez, A Alcazar-Lopez… - Physical Review E, 2015 - APS
By the use of extensive numerical simulations, we show that the nearest-neighbor energy-
level spacing distribution P (s) and the entropic eigenfunction localization length of the …
level spacing distribution P (s) and the entropic eigenfunction localization length of the …
Chaos and quantization of the three-particle generic Fermi-Pasta-Ulam-Tsingou model. II. Phenomenology of quantum eigenstates
We undertake a thorough investigation into the phenomenology of quantum eigenstates, in
the three-particle Fermi-Pasta-Ulam-Tsingou model. Employing different Husimi functions …
the three-particle Fermi-Pasta-Ulam-Tsingou model. Employing different Husimi functions …
Quantum localization of chaotic eigenstates and the level spacing distribution
B Batistić, M Robnik - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
The phenomenon of quantum localization in classically chaotic eigenstates is one of the
main issues in quantum chaos (or wave chaos), and thus plays an important role in general …
main issues in quantum chaos (or wave chaos), and thus plays an important role in general …
Survey on the role of accelerator modes for anomalous diffusion: The case of the standard map
We perform an extensive and detailed analysis of the generalized diffusion processes in
deterministic area preserving maps with noncompact phase space, exemplified by the …
deterministic area preserving maps with noncompact phase space, exemplified by the …
Dynamical localization in chaotic systems: Spectral statistics and localization measure in the kicked rotator as a paradigm for time-dependent and time-independent …
We study the kicked rotator in the classically fully chaotic regime using Izrailev's N-
dimensional model for various N≤ 4000, which in the limit N→∞ tends to the quantized …
dimensional model for various N≤ 4000, which in the limit N→∞ tends to the quantized …
Dynamical localization of chaotic eigenstates in the mixed-type systems: spectral statistics in a billiard system after separation of regular and chaotic eigenstates
B Batistić, M Robnik - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We study the quantum mechanics of a billiard (Robnik 1983 J. Phys. A: Math. Gen. 16 3971)
in the regime of mixed-type classical phase space (the shape parameter λ= 0.15) at very …
in the regime of mixed-type classical phase space (the shape parameter λ= 0.15) at very …
The distribution of localization measures of chaotic eigenstates in the stadium billiard
The localization measures $ A $(based on the information entropy) of localized chaotic
eigenstates in the Poincar\'e-Husimi representation have a distribution on a compact interval …
eigenstates in the Poincar\'e-Husimi representation have a distribution on a compact interval …