Abstract

The geometric phase is the phase component that a quantum state acquires in addition to the dynamic phase in a cyclic evolution. Since the generalization by Aharonov and Anandan [1], the geometric phase can be defined for any quantum state that evolves cyclically, even in the cases of non-adiabatic, non-eigenstate or static Hamiltonian, etc. Finding practical arrangements for measuring the geometric phase is of particular interest, as this topological quantity is not only a fundamental aspect of modern physics but also a potential tool for quantum computation.

© 2015 IEEE