Structure and time-dependence of quantum breathers
Statistical Mechanics
2009-11-11 v1 Pattern Formation and Solitons
Abstract
Quantum states of a discrete breather are studied in two ways. One method involves numerical diagonalization of the Hamiltonian, the other uses the path integral to examine correlations in the eigenstates. In both cases only the central nonlinearity is retained. To reduce truncation effects in the numerical diagonalization, a basis is used that involves a quadratic local mode. A similar device is used in the path integral method for deducing localization. Both approaches lead to the conclusion that aside from quantum tunneling the quantized discrete breather is stable.
Cite
@article{arxiv.cond-mat/0507207,
title = {Structure and time-dependence of quantum breathers},
author = {L. S. Schulman and D. Tolkunov and E. Mihokova},
journal= {arXiv preprint arXiv:cond-mat/0507207},
year = {2009}
}
Comments
33 pages, 20 figures, to appear in J. Chem. Phys