Quantum-mechanical nonperturbative response of driven chaotic mesoscopic systems

Citation
D. Cohen et T. Kottos, Quantum-mechanical nonperturbative response of driven chaotic mesoscopic systems, PHYS REV L, 85(23), 2000, pp. 4839-4843
Citations number
25
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
23
Year of publication
2000
Pages
4839 - 4843
Database
ISI
SICI code
0031-9007(200012)85:23<4839:QNRODC>2.0.ZU;2-Q
Abstract
Consider a time-dependent Hamiltonian H (Q, P; x(t)) with periodic driving x(t) = A sin(Omegat). It is assumed that the classical dynamics is chaotic, and that its power spectrum extends over some frequency range \w\ < <omega >(cl). Both classical and quantum-mechanical (QM) linear response theory (L RT) predict a relatively large response for Omega < <omega>(cl), and a rela tively small response otherwise, independent of the driving amplitude A. We define a nonperturbative regime in the (Omega ,A) space, where LRT fails, and demonstrate this failure numerically. For A > A(prt), where A(prt) prop ortional to h, the system may have a relatively strong response for Omega > omega (cl) due to QM nonperturbative effect.