https://doi.org/10.1007/s100510050137
Chaos in one-dimensional lattices under intense laser fields
1
Instituto de Física, Universidade Estadual de Campinas, Cx. P. 6165,
13083-970, São Paulo, Brazil
2
Instituto de Física, Universidade Federal do Rio de Janeiro, Cx. P. 68.528,
21945-970, Rio de Janeiro, Brazil
3
Departamento de Física, Pontifícia Universidade Católica do Rio de
Janeiro, Cx. P. 38071, 22452-970,
Rio de Janeiro, Brazil
Received:
22
June
1999
Published online: 15 March 2000
A model is investigated where a monochromatic, spatially homogeneous laser field interacts with an electron in a one-dimensional periodic lattice. The classical Hamiltonian is presented and the technique of stroboscopic maps is used to study the dynamical behavior of the model. The electron motion is found to be completely regular only for small field amplitudes, developing a larger chaotic region as the amplitude increases. The quantum counterpart of the classical Hamiltonian is derived. Exact numerical diagonalizations show the existence of universal, random-matrix fluctuations in the electronic energy bands dressed by the laser field. A detailed analysis of the classical phase space is compatible with the statistical spectral analysis of the quantum model. The application of this model to describe transport and optical absorption in semiconductor superlattices submitted to intense infrared laser radiation is proposed.
PACS: 78.90.+t – Other topics in optical properties, condensed matter spectroscopy and other interactions of particles and radiation with condensed matter / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
