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Long-range correlations in quantum-chaotic spectra.

We discuss the long-range spectral correlations in random matrices. Their universality for one-band spectra and its breakdown for multiband spectra are investigated and characterized. The long-range properties are complementary to the usual short-range properties, and are important for conductance fluctuations in mesoscopic systems. However, unlike short-range properties, they are not ubiquitous in model quantum-chaotic systems. We formulate a system of multiply-kicked quantum rotors, and show that it exhibits both long-range and short-range correlations.