  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 $\Lambda$ system is indeed experimentally
detectable.
