  The Riemann hypothesis, one of the most important open problems in pure
mathematics, implies the most profound secret of prime numbers. One of the most
interesting approaches to solve this hypothesis is to connect the problem with
the spectrum of the physical Hamiltonian of a quantum system. However, none of
the proposed quantum Hamiltonians have been experimentally feasible.Here, we
report the first experiment to identify the first non-trivial zeros of the
Riemann zeta function and the first two zeros of P\'olya's fake zeta function,
using a novel Floquet method, through properly designed periodically driving
functions. According to this method, the zeros of these functions are
characterized by the occurrence of crossings of quasi-energies when the
dynamics of the system are frozen. The experimentally obtained zeros are in
excellent agreement with their exact values. Our study provides the first
experimental realization of the Riemann zeros, which may provide new insights
into this fundamental mathematical problem.
