Synthetic Gauge Fields for Vibrational Excitations of Trapped ions

Details Synthetic Gauge Fields for Vibrational Excitations of Trapped ions Synthetic Gauge Fields for Vibrational Excitations of Trapped ions

2011-04-25

arxiv.org/abs/1104.4734v2

Phys. Rev. Lett. 107, 150501 (2011)

Physics

Quantum Physics

replaced with published version

Scientific paper

10.1103/PhysRevLett.107.150501

The vibrations of a collection of ions in a microtrap array can be described in terms of hopping phonons. We show theoretically that the vibrational couplings may be tailored by using a gradient of the microtrap frequencies, together with a periodic driving of the trapping potential. These ingredients allow us to induce effective gauge fields on the vibrational excitations, such that phonons mimic the behavior of charged particles in a magnetic field. In particular, microtrap arrays are ideally suited to realize the famous Aharonov-Bohm effect, and observe the paradigmatic edge states typical from quantum-Hall samples and topological insulators.

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