@Article{CiCP-1-1,
author = {},
title = {Chaotic Driven Tunneling in Rectangular Double-Well},
journal = {Communications in Computational Physics},
year = {2006},
volume = {1},
number = {1},
pages = {81--99},
abstract = {<p style="text-align: justify;">We consider a charged particle confined in a one-dimensional rectangular double-well
potential, driven by an external periodic excitation at frequency Ω and with amplitude
A. We find that there is the regime of the parametric resonance due to the modulation of the
amplitude A at the frequency ω<sub>prm</sub>, which results in the change in the population dynamics
of the energy levels. The analysis relies on the Dirac system of Hamiltonian equations that
are equivalent to the Schrödinger equation. Considering a finite dimensional approximation
to the Dirac system, we construct the foliation of its phase space by subsets F<sub>ab</sub> given by
constraints a ≤ N<sub>0</sub> ≤ b on the occupation probabilities N<sub>0</sub> of the ground state, and describe
the tunneling by frequencies ν<sub>ab</sub> of the system&#39;s visiting subsets F<sub>ab</sub>. The frequencies ν<sub>ab&nbsp;</sub>determine the probability density and thus the Shannon entropy, which has the maximum
value at the resonant frequency ω = ω<sub>prm</sub>. The reconstruction of the state-space of the
system&#39;s dynamics with the help of the Shaw-Takens method indicates that the quasi-periodic
motion breaks down at the resonant value ω<sub>prm</sub>.</p>},
issn = {1991-7120},
doi = {https://doi.org/2006-CiCP-10939},
url = {https://global-sci.com/article/81365/chaotic-driven-tunneling-in-rectangular-double-well}
}