Berry Phase of Nonlinear Correction

Details Berry Phase of Nonlinear Correction Berry Phase of Nonlinear Correction

2009-08-28

arxiv.org/abs/0908.4130v1

Physics

Condensed Matter

Quantum Gases

4pages, no figure

Scientific paper

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.

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