Geometric phases for mixed states in interferometry

E Sjoqvist, A K Pati, A Ekert, J S Anandan, M Ericsson, D K L Oi, V Vedral

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427 Citations (Scopus)
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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.

Original languageEnglish
Pages (from-to)2845-2849
Number of pages5
JournalPhysical Review Letters
Volume85
Issue number14
DOIs
Publication statusPublished - 2 Oct 2000

Keywords

  • quantum physics
  • neutrons
  • interferometry
  • geometric phases

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