Phase-space correlations of chaotic eigenstates

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Published version with minor corrections to version 1

Scientific paper

10.1103/PhysRevLett.94.134101

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.

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