Reply to "Comment on 'Detecting Non-Abelian Geometric Phases with Three-Level Atoms' "

In this reply, we address the comment by Ericsson and Sjoqvist on our paper [Phys. Rev. A {\bf 84}, 034103 (2011)]. We point out that the zero gauge field is not the evidence of trivial geometric phase for a non-Abelian SU(2) gauge field. Furthermore, the recalculation shows that the non-Abelian geometric phase we proposed in the three-level $Λ$ system is indeed experimentally detectable.In this reply, we address the comment by Ericsson and Sjoqvist on our paper [Phys. Rev. A {\bf 84}, 034103 (2011)]. We point out that the zero gauge field is not the evidence of trivial geometric phase for a non-Abelian SU(2) gauge field. Furthermore, the recalculation shows that the non-Abelian geometric phase we proposed in the three-level $Λ$ system is indeed experimentally detectable.

arXiv:1301.5950Jan 25, 20130 citations

Non-abelian geometric phase from incomplete quantum measurements

J. Anandan, Alexander Pines

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Comment on “Nonclassical depth of the phase state”

J. M. C. Malbouisson

Physics Letters AAug 1, 20014 citations

Λ

system is indeed experimentally detectable.