Adiabatic Berry phase in an atom-molecule conversion system
- Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088 (China)
We investigate the Berry phase of adiabatic quantum evolution in the atom-molecule conversion system that is governed by a nonlinear Schroedinger equation. We find that the Berry phase consists of two parts: the usual Berry connection term and a novel term from the nonlinearity brought forth by the atom-molecule coupling. The total geometric phase can be still viewed as the flux of the magnetic field of a monopole through the surface enclosed by a closed path in parameter space. The charge of the monopole, however, is found to be one third of the elementary charge of the usual quantized monopole. We also derive the classical Hannay angle of a geometric nature associated with the adiabatic evolution. It exactly equals minus Berry phase, indicating a novel connection between Berry phase and Hannay angle in contrast to the usual derivative form.
- OSTI ID:
- 21457134
- Journal Information:
- Annals of Physics (New York), Vol. 325, Issue 11; Other Information: DOI: 10.1016/j.aop.2010.05.007; PII: S0003-4916(10)00098-9; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
Similar Records
Adiabatic holonomy and evolution of fermionic coherent state
Berry phase and Hannay's angle in a quantum-classical hybrid system
Related Subjects
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ADIABATIC PROCESSES
ATOMS
CONVERSION
COUPLING
EVOLUTION
GEOMETRY
MAGNETIC FIELDS
MOLECULES
MONOPOLES
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS