Quantum breathers in a nonlinear Klein Gordon lattice
Quantum Physics
2009-11-11 v1
Abstract
The quantum modes of a nonlinear Klein Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B, vol. 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to a phonon pairing and consequently some phonon bound states. In the present paper, the time dependent Wannier transform of these states is shown to exhibit a breather-like behavior, i.e., it is spatially localized and time-periodic. The typical time the lattice may sustain such breather states is studied as a function of the trapped energy and the intersite lattice coupling.
Cite
@article{arxiv.quant-ph/0507033,
title = {Quantum breathers in a nonlinear Klein Gordon lattice},
author = {Laurent Proville},
journal= {arXiv preprint arXiv:quant-ph/0507033},
year = {2009}
}