Superfluids and superconductors are the only states of condensed matter tha
t can be described by a single wavefunction, with a coherent quantum phase
Phi. The mass flow in a superfluid can be described by classical hydrodynam
ics for small flow velocity, but above a critical velocity, quantized vorti
ces are created and the classical picture breaks down. This can be observed
for a superfluid flowing through a microscopic aperture when the mass flow
is measured as a function of the phase difference across the aperture; the
curve resembles a hysteretic sawtooth where each jump corresponds to the c
reation of a vortex(1-3). When the aperture is made small enough, the syste
m can enter the so-called 'ideal' Josephson regime(1,4), where the superflu
id mass flow becomes a continuous function of the phase difference. This re
gime has been detected(1,5,6) in superfluid He-3, but was hitherto believed
to be unobservable, owing to fluctuations(7), in He-4. Here we report the
observation of the ideal Josephson effect in He-4. We study the flow of He-
4 through an array of micro-apertures and observe a transition to the ideal
Josephson regime as the temperature is increased towards the superfluid tr
ansition temperature, T-lambda.