Geometrical phases from global gauge invariance of nonlinear classical field theories
Abstract
We show that the geometrical phases recently discovered in quantum mechanics also occur naturally in the theory of any classical complex multicomponent field satisfying nonlinear equations derived from a Lagrangean with is invariant under gauge transformations of the first kind. Some examples are the paraxial wave equation for nonlinear optics, and Ginzburg-Landau equations for complex order parameters in condensed-matter physics.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 1988
- DOI:
- Bibcode:
- 1988PhRvL..60..165G
- Keywords:
-
- 03.65.Bz;
- 11.15.Kc;
- 42.65.Jx;
- Classical and semiclassical techniques;
- Beam trapping self-focusing and defocusing;
- self-phase modulation