Quantum jumps, geodesics, and the topological phase
- 15 May 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 39 (10) , 3194-3196
- https://doi.org/10.1103/physrevd.39.3194
Abstract
The final state of a quantum jump due to a filtering measurement is obtained by parallel transporting the initial state along a geodesic. It is shown that a topological phase arises in any cyclic series of measurements. Unitary time evolution is not important for it to appear. The Aharonov-Anandan phase is derived as a limiting case.Keywords
This publication has 35 references indexed in Scilit:
- Non-Abelian Berry's phase effects and optical pumping of atomsAnnals of Physics, 1987
- Geometrical description of Berry's phasePhysical Review A, 1987
- Non-Abelian Berry’s phase, accidental degeneracy, and angular momentumJournal of Mathematical Physics, 1987
- Molecular Kramers degeneracy and non-Abelian adiabatic phase factorsPhysical Review Letters, 1987
- Phase change during a cyclic quantum evolutionPhysical Review Letters, 1987
- Angular momentum for diatoms described by gauge fieldsPhysical Review Letters, 1986
- Realizations of Magnetic-Monopole Gauge Fields: Diatoms and Spin PrecessionPhysical Review Letters, 1986
- Appearance of Gauge Structure in Simple Dynamical SystemsPhysical Review Letters, 1984
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984
- Holonomy, the Quantum Adiabatic Theorem, and Berry's PhasePhysical Review Letters, 1983