Double humped states in the nonlinear Schroedinger equation with a random potential

TL;DR

This paper investigates how double humped states influence wave packet spreading in the nonlinear Schrödinger equation with random potentials, analyzing the effects of nonlinearity on these states and their role in the spreading mechanism.

Contribution

It provides a detailed analysis of the impact of nonlinearity on double humped states in the NLSE with random potential, comparing with double-well systems and discussing state coupling and destruction.

Findings

Nonlinearity causes coupling of double humped states to other states.

Nonlinearity can also destroy double humped states.

The interplay of these effects influences wave packet spreading.

Abstract

The role of double humped states in spreading of wave packets for the nonlinear Schroedinger equation (NLSE) with a random potential is explored and the spreading mechanism is unraveled. Comparison with an NLSE with a double-well potential is made. There are two independent affects of the nonlinearity on the double humped states for the NLSE: coupling to other states and destruction. The interplay between these effects is discussed.