Berry Phase of Nonlinear Correction
Quantum Gases
2009-08-31 v1
Abstract
We investigate the geometric phase or Berry phase of adiabatic quantum evolution in the Bose-Einstein condensate (BEC) systems governed by nonlinear Gross-Pitaevskii(GP) equations. We study how this phase is modified by the nonlinearity and find that the Bogoliubov fluctuations around the eigenstates are accumulated during the nonlinear adiabatic evolution and contribute a finite phase of geometric nature. A two-mode BEC model is used to illustrate our theory. Our theory is applicable to other nonlinear systems such as paraxial wave equation for nonlinear optics and Ginzburg-Landau equations for complex order parameters in condensed-matter physics.
Cite
@article{arxiv.0908.4130,
title = {Berry Phase of Nonlinear Correction},
author = {J. Liu and L. B. Fu},
journal= {arXiv preprint arXiv:0908.4130},
year = {2009}
}
Comments
4pages, no figure