Thermalization and disentanglement with a nonlinear Schrödinger equation

We study a recently proposed modified Schrödinger equation having an added nonlinear term. For the case where a stochastic term is added to the Hamiltonian, the fluctuating response is found to resemble the process of thermalization. Disentanglement induced by the added nonlinear term is explored for a system made of two coupled spins. A butterfly-like effect is found near fully entangled states of the spin-spin system. A limit cycle solution is found when one of the spins is externally driven.