Phase-space correlations of chaotic eigenstates
arXiv:nlin/0409055 · doi:10.1103/PhysRevLett.94.134101
Abstract
It is shown that the Husimi representations of chaotic eigenstates are strongly correlated along classical trajectories. These correlations extend across the whole system size and, unlike the corresponding eigenfunction correlations in configuration space, they persist in the semiclassical limit. A quantitative theory is developed on the basis of Gaussian wavepacket dynamics and random-matrix arguments. The role of symmetries is discussed for the example of time-reversal invariance.
Published version with minor corrections to version 1
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