Three-Particles Aharonov-Bohm Effect*

Recently, we showed the successful experiment on the three-particles Aharonov-Bohm effect using the tapped ion [A. Noguchi, YS, K. Toyoda, S. Urabe, Nature Communications 5, 3868 (2014)]. In this experiment, there still remain several fundamental questions on the identical particles. Inspired by our experiment setup, we can discuss the properties of the identical particles from the Aharonov-Bohm effect perspectives. The phase shift by chaning the particle status leads to give an answer to the following question when the Aharonov-Bohm phase can be aquired. As the minimum setup, three particle setting is considered. Maybe, it is possible to be genralized to the N-body particles. Furthermore, the dynamical non-locality aspects will be discussed if possible.