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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Wave-packet dynamics in chains with delayed electronic nonlinear response.

F A B F de Moura¹, Iram Gléria, I F dos Santos

¹Instituto de Física, Universidade Federal de Alagoas, Maceió AL 57072-970, Brazil.

Physical Review Letters

|October 2, 2009

Summary

This summary is machine-generated.

We investigated electron wave packet dynamics with nonadiabatic electron-phonon interactions. We found that self-trapping requires weaker nonlinearity for short delays but stronger nonlinearities in slowly responding media.

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Area of Science:

Condensed Matter Physics
Quantum Mechanics
Nonlinear Dynamics

Background:

Electron-phonon interactions are crucial in determining material properties.
Nonadiabatic effects can significantly alter electron dynamics.
Self-trapping is a key phenomenon in nonlinear systems.

Purpose of the Study:

To investigate the dynamics of a single electron wave packet in a chain with nonadiabatic electron-phonon coupling.
To analyze the influence of delayed nonlinear responses on self-trapping.
To explore the conditions leading to self-trapping under varying nonlinearity and delay times.

Main Methods:

Solving the time-dependent Schrödinger equation.
Modeling electron-phonon coupling via delayed cubic nonlinearity.
Analyzing the phase diagram of self-trapping.

Main Results:

Self-trapping occurs when nonlinearity exceeds a critical value in the adiabatic limit.
Shorter delay times reduce the nonlinearity threshold for self-trapping.
Slow nonlinear responses lead to a reentrant phase diagram, requiring stronger nonlinearities for self-trapping.

Conclusions:

The interplay between nonlinearity, delay time, and response speed dictates self-trapping behavior.
Nonadiabatic electron-phonon interactions introduce complex dynamics not present in adiabatic models.
Understanding these dynamics is essential for designing materials with specific electronic properties.