Chaos assisted instanton tunneling in one dimensional perturbed periodic potential
Chaotic Dynamics
2009-11-10 v1
Abstract
For the system with one-dimensional spatially periodic potential we demonstrate that small periodic in time perturbation results in appearance of chaotic instanton solutions. We estimate parameter of local instability, width of stochastic layer and correlator for perturbed instanton solutions. Application of the instanton technique enables to calculate the amplitude of the tunneling, the form of the spectrum and the lower bound for width of the ground quasienergy zone.
Keywords
Cite
@article{arxiv.nlin/0305028,
title = {Chaos assisted instanton tunneling in one dimensional perturbed periodic potential},
author = {V. I. Kuvshinov and A. V. Kuzmin and R. G. Shulyakovsky},
journal= {arXiv preprint arXiv:nlin/0305028},
year = {2009}
}