Wave packet dynamics in chains with delayed electronic nonlinear response

Details Wave packet dynamics in chains with delayed electronic nonlinear response Wave packet dynamics in chains with delayed electronic nonlinear response

2009-08-13

arxiv.org/abs/0908.1925v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures, to appear in Physical Review Letters

Scientific paper

We study the dynamics of one electron wave packet in a chain with a non-adiabatic electron-phonon interaction. The electron-phonon coupling is taken into account in the time-dependent Schr\"odinger equation by a delayed cubic nonlinearity. In the limit of an adiabatic coupling, the self-trapping phenomenon occurs when the nonlinearity parameter exceeds a critical value of the order of the band width. We show that a weaker nonlinearity is required to produce self-trapping in the regime of short delay times. However, this trend is reversed for slow nonlinear responses, resulting in a reentrant phase-diagram. In slowly responding media, self-trapping only takes place for very strong nonlinearities.

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