Geometric phases for mixed states in interferometry

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 mi...

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Bibliographic Details
Published in:Physical review letters 2000-10, Vol.85 (14), p.2845-2849
Main Authors: Sjöqvist, E, Pati, A K, Ekert, A, Anandan, J S, Ericsson, M, Oi, D K, Vedral, V
Format: Article
Language:English
Subjects:
Fysik
Geometric phase
mixed quantum states
NATURAL SCIENCES
NATURVETENSKAP
Physics
quantum interferometry
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Summary: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.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.85.2845