Phase change during a cyclic quantum evolution

Y. Aharonov, J. Anandan

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1593-1596
Number of pages4
JournalPhysical Review Letters
Issue number16
StatePublished - 1987
Externally publishedYes


Dive into the research topics of 'Phase change during a cyclic quantum evolution'. Together they form a unique fingerprint.

Cite this