  The non-trivial zeros of the Riemann zeta function are central objects in
number theory. In particular, they enable one to reproduce the prime numbers.
They have also attracted the attention of physicists working in Random Matrix
Theory and Quantum Chaos for decades. Here we present an experimental
observation of the lowest non-trivial Riemann zeros by using a trapped ion
qubit in a Paul trap, periodically driven with microwave fields. The waveform
of the driving is engineered such that the dynamics of the ion is frozen when
the driving parameters coincide with a zero of the real component of the zeta
function. Scanning over the driving amplitude thus enables the locations of the
Riemann zeros to be measured experimentally to a high degree of accuracy,
providing a physical embodiment of these fascinating mathematical objects in
the quantum realm.
