Geometric Phases for Mixed States in Interferometry
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- 2 October 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 85 (14) , 2845-2849
- https://doi.org/10.1103/physrevlett.85.2845
Abstract
We provide a physical prescription based on interferometry for introducing the total phase of a mixed state undergoing unitary evolution, which has been an elusive concept in the past. We define the parallel transport condition that provides a connection form for obtaining the geometric phase for mixed states. The expression for the geometric phase for mixed state reduces to well known formulas in the pure state case when a system undergoes noncyclic and unitary quantum evolution.Keywords
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This publication has 24 references indexed in Scilit:
- Noncyclic geometric phase and its non-Abelian generalizationJournal of Physics A: General Physics, 1999
- Adiabatic Berry Phase and Hannay Angle for Open PathsAnnals of Physics, 1998
- Extending the quantal adiabatic theorem: Geometry of noncyclic motionAmerican Journal of Physics, 1998
- Noncyclic geometric phase, coherent states, and the time-dependent variational principle: Application to coupled electron-nuclear dynamicsPhysical Review A, 1997
- Geometric aspects of noncyclic quantum evolutionsPhysical Review A, 1995
- Gauge-invariant reference section and geometric phaseJournal of Physics A: General Physics, 1995
- Quantum Kinematic Approach to the Geometric Phase. I. General FormalismAnnals of Physics, 1993
- General Setting for Berry's PhasePhysical Review Letters, 1988
- Phase change during a cyclic quantum evolutionPhysical Review Letters, 1987
- Quantal phase factors accompanying adiabatic changesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1984