Berry Phase in Atom-Molecule Conversion Systems and Fractional Monopole
arXiv:0906.3081 · doi:10.1016/j.aop.2010.05.007
Abstract
We investigate the geometric phase or Berry phase of adiabatic quantum evolution in an atom-molecule conversion system, and find that the Berry phase in such system consists of two parts: the usual Berry connection term and a novel term from the nonlinearity brought forth by the atom-molecule conversion. The geometric phase can be 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.
4 pages, 1 figure
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Cited by in corpus (7)
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- Atom-molecule conversion with particle losses
- Optimizing Quantum Adiabatic Algorithm
- Atom-molecule conversion system subject to phase noises
- Quantum phase transition in a three-level atom-molecule system
- Hierarchical Theory of Quantum Adiabatic Evolution
- Dynamical fluctuations in classical adiabatic processes: General description and their implications