TY - JOUR
T1 - Statistics of quasienergies in chaotic and random systems
AU - Feingold, Mario
AU - Fishman, Shmuel
N1 - Funding Information:
We thank D.R. Grempel, N. Moiseyev and R.E. Prange for useful suggestions and comments. The work was supported in part by the U.S.-Israel Binational Science Foundation (BSF), by the Bat-Sheva de-Rothschild Fund for Advancement of Science and Technology and by the Technion VPR-L. Deutsch Research Fund.
PY - 1987/1/1
Y1 - 1987/1/1
N2 - The statistics of quasienergies are analyzed for periodically driven chaotic systems and found to be similar to those of truly random models. These differ from the results that were obtained so far, for chaotic systems with time-independent Hamiltonians. The separations of the quasienergies and the Δ3-statistic are calculated numerically for chaotic, as well as for truly random models. Local statistical measures are introduced in order to investigate the repulsion of quasienergies. The results provide further evidence for Anderson localization in chaotic systems with Hamiltonians that are periodic in time.
AB - The statistics of quasienergies are analyzed for periodically driven chaotic systems and found to be similar to those of truly random models. These differ from the results that were obtained so far, for chaotic systems with time-independent Hamiltonians. The separations of the quasienergies and the Δ3-statistic are calculated numerically for chaotic, as well as for truly random models. Local statistical measures are introduced in order to investigate the repulsion of quasienergies. The results provide further evidence for Anderson localization in chaotic systems with Hamiltonians that are periodic in time.
UR - http://www.scopus.com/inward/record.url?scp=4244177665&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(87)90101-1
DO - 10.1016/0167-2789(87)90101-1
M3 - Article
AN - SCOPUS:4244177665
SN - 0167-2789
VL - 25
SP - 181
EP - 195
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-3
ER -