On the response of a two-level quantum system to a class of time-dependent quasiperiodic perturbations |
| |
| Authors: | J M Luck H Orland U Smilansky |
| |
| Institution: | (1) Service de Physique Théorique, Institut de Recherche Fondamentale, CEA-CEN Saclay, 91191 Gif-sur-Yvette Cedex, France;(2) Department of Nuclear Physics, Weizmann Institute of Science, 76100 Rehovot, Israel;(3) Department of Electronics, Weizmann Institute of Science, 76100 Rehovot, Israel |
| |
| Abstract: | We study analytically the response of a two-level quantum system to a certain class of time-dependent quasiperiodic perturbations generated by a Fibonacci sequence. We show that the quasi-energy spectrum (Fourier transform of the evolution operator) generically is not a denumerable sum of delta functions. Hence the response is not quasiperiodic. Several numerical investigations (Poincaré sections, polarization fluctuation, etc.) suggest an intermediate kind of behavior between quasiperiodic and chaotic. |
| |
| Keywords: | Fibonacci sequence quasiperiodicity two-level systems quantum chaos |
| 本文献已被 SpringerLink 等数据库收录！ |
|
