Spatial Correlation in Quantum Chaotic Systems with Time-reversal Symmetry: Theory and Experiment

Details Spatial Correlation in Quantum Chaotic Systems with Time-reversal Symmetry: Theory and Experiment Spatial Correlation in Quantum Chaotic Systems with Time-reversal Symmetry: Theory and Experiment

1995-04-21

arxiv.org/abs/cond-mat/9504089v2

Phys. Rev. Lett. 75, 2392 (1995)

Physics

Condensed Matter

12 pages, REVTeX3+epsf, two EPS figures. Minor modifications

Scientific paper

10.1103/PhysRevLett.75.2392

The correlation between the values of wavefunctions at two different spatial points is examined for chaotic systems with time-reversal symmetry. Employing a supermatrix method, we find that there exist long-range Friedel oscillations of the wave function density for a given eigenstate, although the background wavefunction density fluctuates strongly. We show that for large fluctuations, once the value of the wave function at one point is known, its spatial dependence becomes highly predictable for increasingly large space around this point. These results are compared with the experimental wave functions obtained from billiard-shaped microwave cavities and very good agreement is demonstrated.

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