Observation of a Topological Berry Phase with a Single Phonon in an Ion Microtrap Array

TL;DR

This paper demonstrates the controlled manipulation of a single phonon in a 2D ion array, revealing a topological Berry phase acquired through adiabatic mode tuning, advancing quantum simulation capabilities.

Contribution

It introduces a method to coherently control and observe topological phases of a single phonon in a tunable ion array, enabling new studies of quantum multi-body effects.

Findings

Single phonon can be shared among multiple ions.

Adiabatic tuning induces a measurable Berry phase.

Non-adiabatic effects cause phase breakdown.

Abstract

Controlled quantum mechanical motion of trapped atomic ions can be used to simulate and explore collective quantum phenomena and to process quantum information. Groups of cold atomic ions in an externally applied trapping potential self-organize into "Coulomb crystals" due to their mutual electrostatic repulsion. The motion of the ions in these crystals is strongly coupled, and the eigenmodes of motion all involve multiple ions. While this enables studies of many-body physics, it limits the flexibility and tunability of the system as a quantum platform. Here, we demonstrate an array of trapped ions in individual trapping sites whose motional modes can be controllably coupled and decoupled by tuning the local applied confining potential for each ion. We show that a single motional quantum, or phonon, can be coherently shared among two or three ions confined at the vertices of an equilateral triangle 30 $\mu$m on a side. We can adiabatically tune the ion participation in the motional modes around a closed contour in configuration space, observing that the single-phonon wavefunction acquires a topological Berry phase if the contour encircles a conical intersection of motional eigenvalue surfaces. We observe this phase by single-phonon interference and study its breakdown as the motional mode tuning becomes non-adiabiatic. Our results show that precise, individual quantum control of ion motion in a two-dimensional array can provide unique access to quantum multi-body effects.