Structure and time-dependence of quantum breathers

Details Structure and time-dependence of quantum breathers Structure and time-dependence of quantum breathers

2005-07-08

arxiv.org/abs/cond-mat/0507207v1

Chem. Phys. 322, pages 55-74 (2006)

Physics

Condensed Matter

Statistical Mechanics

33 pages, 20 figures, to appear in J. Chem. Phys

Scientific paper

10.1016/j.chemphys.2005.07.023

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.

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