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

doi:10.1103/PhysRevLett.85.2845

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

Physics

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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 language	English
Pages (from-to)	2845-2849
Number of pages	5
Journal	Physical Review Letters
Volume	85
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.85.2845
Publication status	Published - 2 Oct 2000

Keywords

quantum physics
neutrons
interferometry
geometric phases

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10.1103/PhysRevLett.85.2845

0005072v2Submitted manuscript, 125 KB

Cite this

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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.",

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AU - Anandan, J S

AU - Ericsson, M

AU - Oi, D K L

AU - Vedral, V

PY - 2000/10/2

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N2 - 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.

AB - 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.

KW - quantum physics

KW - neutrons

KW - interferometry

KW - geometric phases

UR - http://arxiv.org/PS_cache/quant-ph/pdf/0005/0005072v2.pdf

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Geometric phases for mixed states in interferometry

Abstract

Keywords

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