7 research outputs found
Signatures of Classical Diffusion in Quantum Fluctuations of 2D Chaotic Systems
We consider a two-dimensional (2D) generalization of the standard
kicked-rotor (KR) and show that it is an excellent model for the study of 2D
quantum systems with underlying diffusive classical dynamics. First we analyze
the distribution of wavefunction intensities and compare them with the
predictions derived in the framework of diffusive {\it disordered} samples.
Next, we turn the closed system into an open one by constructing a scattering
matrix. The distribution of the resonance widths and Wigner
delay times are investigated. The forms of these
distributions are obtained for different symmetry classes and the traces of
classical diffusive dynamics are identified. Our theoretical arguments are
supported by extensive numerical calculations.Comment: 20 pages; 12 figure