  The Riemann hypothesis, which states that the non-trivial zeros of the
Riemann zeta function all lie on a certain line in the complex plane, is one of
the most important unresolved problems in mathematics. Inspired by the
P\'olya-Hilbert conjecture, we propose a new approach to finding a physical
system to study the Riemann zeros, which in contrast to previous examples, is
based on applying a time-periodic driving field. This driving allows us to
mould the quasienergies of the system (the analogue of the eigenenergies in the
absence of driving), so that they are directly governed by the zeta function.
We further show by numerical simulations that this allows the Riemann zeros to
be measured in currently accessible cold atom experiments.
