Generalized nonlinear impurity in a linear chain

Autor:	George P. Tsironis, M. I. Molina, D. Hennig
Rok vydání:	1994
Předmět:	Nonlinear system Chain (algebraic topology) Survival probability Impurity Quantum mechanics Bound state Statistical physics Type (model theory) Mathematics Phase diagram
Zdroj:	Physical Review E. 50:2365-2368
ISSN:	1095-3787 1063-651X
DOI:	10.1103/physreve.50.2365
Popis:	We study the problem of one nonlinear impurity embedded in a linear tight-binding host. The impurity is of the type found in the generalized discrete nonlinear Schr\"odinger equation. We obtain analytically a phase diagram that describes the presence of bound states for different nonlinearity parameter values and nonlinearity exponents. We find that two impurity states are possible in some parameter regimes. From the numerical solution of the complete dynamical problem we obtain information on the nonlinear site survival probability that shows a dynamical self-trapping that is compatible with the findings of the stationary-state analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76800506d3c93621dbd46a556730b2d3 https://doi.org/10.1103/physreve.50.2365 Zobrazit plný text záznamu