Resonant Breakup of Quantum Soliton by External Force

Abstract

The quantum nonlinear Schrödinger model under external force is studied. Through the quantum inverse scattering method, the transition amplitude between 1-soliton state and 2-soliton state is exactly calculated. The frequency dependence of the transition amplitude has an interesting property that the amplitude diverges at certain frequencies. This implies that a quantum soliton breaks up into solitons resonantly with external force. This phenomenon is called the resonant breakup of quantum soliton.