Please use this identifier to cite or link to this item: https://doi.org/10.1088/0305-4470/37/11/011
Title: Geometric phases for mixed states during cyclic evolutions
Authors: Fu, L.-B.
Chen, J.-L. 
Issue Date: 19-Mar-2004
Citation: Fu, L.-B., Chen, J.-L. (2004-03-19). Geometric phases for mixed states during cyclic evolutions. Journal of Physics A: Mathematical and General 37 (11) : 3699-3705. ScholarBank@NUS Repository. https://doi.org/10.1088/0305-4470/37/11/011
Abstract: The geometric phases of cyclic evolutions for mixed states are discussed in the framework of unitary evolution. A canonical 1-form is defined whose line integral gives the geometric phase, which is gauge invariant. It reduces to the Aharonov and Anandan phase in the pure state case. Our definition is consistent with the phase shift in the proposed experiment (Sjöqvist et al 2000 Phys. Rev. Lett. 85 2845) for a cyclic evolution if the unitary transformation satisfies the parallel transport condition. A comprehensive geometric interpretation is also given. It shows that the geometric phases for mixed states share the same geometric sense with the pure states.
Source Title: Journal of Physics A: Mathematical and General
URI: http://scholarbank.nus.edu.sg/handle/10635/96720
ISSN: 03054470
DOI: 10.1088/0305-4470/37/11/011
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