Phase change during a cyclic quantum evolution
Yakir AharonovDepartment of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208J. AnandanDepartment of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208
1987en
ABI
Abstract
A new geometric phase factor is defined for any cyclic evolution of a quantum system. This is independent of the phase factor relating the initial and final state vectors and the Hamiltonian, for a given projection of the evolution on the projective space of rays of the Hilbert space. Some applications, including the Aharonov-Bohm effect, are considered. For the special case of adiabatic evolution, this phase factor is a gauge-invariant generalization of the one found by Berry.
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