Dynamics of localized states in the stochastic discrete nonlinear Schrödinger equation

Abstract

We reconsider the dynamics of localized states in the deterministic and stochastic discrete nonlinear Schr\"odinger equation. Localized initial conditions disperse if the strength of the nonlinear part drops below a threshold. Localized states are unstable in a noisy environment. As expected, an infinite temperature state emerges when multiplicative noise is applied, while additive noise yields unbounded dynamics since conservation of normalization is violated.

Categories