Abstract
We present a nonperturbative analysis of the power spectrum of energy level fluctuations in fully chaotic quantum structures. Focusing on systems with broken time-reversal symmetry, we employ a finite- random matrix theory to derive an exact multidimensional integral representation of the power spectrum. The limit of the exact solution furnishes the main result of this study—a universal, parameter-free prediction for the power spectrum expressed in terms of a fifth Painlevé transcendent. Extensive numerics lends further support to our theory which, as discussed at length, invalidates a traditional assumption that the power spectrum is merely determined by the spectral form factor of a quantum system.
- Received 23 March 2017
DOI:https://doi.org/10.1103/PhysRevLett.118.204101
© 2017 American Physical Society