File:Qsmapnq12.jpg

Quantum Poincaré section represented by the Husimi function (the smoothed Wigner function) for the quantum Chirikov standard map at \( K=1.1 \) and \( \hbar=2\pi/N \) with \( N=2^{12} \) quantum states inside the phase space cell \( (x,p) = 2\pi \times 2\pi \). Initial state is a minimal coherent state of one quantum cell taken in the chaotic component at \( x=p=0.1 \times 2\pi \) ; the section is shown after \( t=2 \times 10^4 \) map iterations (red is for maximum density, blue is for minimum).