Semiclassical calculation of spectral correlation functions of chaotic systems
arXiv:1807.10136 · doi:10.1103/PhysRevE.98.052207
Abstract
We present a semiclassical approach to n-point spectral correlation functions of quantum systems whose classical dynamics is chaotic, for arbitrary n. The basic ingredients are sets of periodic orbits that have nearly the same action and therefore provide constructive interference. We calculate explicitly the first correlation functions, to leading orders in their energy arguments, for both unitary and orthogonal symmetry classes. The results agree with corresponding predictions from random matrix theory, thereby giving solid support to the conjecture of universality.
13 pages, 5 figures
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Cited by in corpus (4)
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- Exponentially small quantum correction to conductance
- Full perturbative calculation of spectral correlation functions for chaotic systems in the unitary symmetry class