Beyond the geometric phase: Intrinsic fluctuation-induced pollutions for adiabatic evolution of a nonlinear quantum state

Abstract

The adiabatic geometric phase of a wavefunction whose dynamics is governed by the two-mode Gross-Pitaevskii equation is investigated. We show that, for a general state beyond eigenstate, the intrinsic dynamical fluctuations neglected by the conventional adiabatic theorem will inevitably give rise to phase factors which greatly depend on the details of the adiabatic process (adiabatic parameter evolution). Thus, contrary to the general belief that the total phase is only composed of the dynamical phase and geometric phase, intriguing intrinsic pollution terms are discovered. An experimental scheme for detecting the pollution terms based on optical waveguides is proposed. © 2012 IOP Publishing Ltd.