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Open Quantum Systems Decoherence Quantum Simulation

Complementarity and phases in SU(3)

arXiv

Authors: H. de Guise, A. Vourdas, L. L. Sanchez-Soto

Year

2012

Paper ID

8651

Status

Preprint

Abstract Read

~2 min

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Abstract

Phase operators and phase states are introduced for irreducible representations of the Lie algebra su(3) using a polar decomposition of ladder operators. In contradistinction with su(2), it is found that the su(3) polar decomposition does not uniquely determine a Hermitian phase operator. We describe two possible ways of proceeding: one based in imposing SU(2) invariance and the other based on the idea of complementarity. The generalization of these results to SU(n) is sketched.

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Phase operators and phase states are introduced for irreducible representations of the Lie algebra su(3) using a polar decomposition of ladder operators.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1206.2507 [2] arXiv https://arxiv.org/abs/1206.2507 [3] Publisher https://arxiv.org/abs/1206.2507

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