This paper reviews recent progress on microwave clocks using laser cooled n
eutral atoms. With an ultra-stable cryogenic sapphire oscillator as interro
gation oscillator, a cesium fountain operates at the quantum projection noi
se limit. With 6.10(5) detected atoms, the relative frequency stability del
ta nu/nu is 4(.)10(-14)tau (-1/2) where tau is the integration time in seco
nds. This stability is comparable to that of hydrogen masers. At tau = 2(.)
10(4)s, the measured stability reaches 6(.)10(-16). Equally important is th
e accuracy of the frequency standard since Cs-133 is the primary reference
for the definition of the time unit, the second. The accuracy of our cesium
fountain FO1 is presently 1.10(-15), currently the best reported value.
A Rb-87 fountain has also been constructed and the Rb-87 ground-state hyper
fine energy has been compared to the Cs primary standard with a relative ac
curacy of 2(.)5(.)10(-15). Comparing the hyperfine energies of atoms with d
ifferent atomic numbers Z, one can search for possible variations of the fi
ne structure constant alpha = e(2)/hc with time. Measurements of the ratio
nu(Rb-87)/nu(Cs-133) spread over an interval of 24 months indicate no chang
e at a level of 3.110(-15)/year, placing a new upper limit for 1/alpha (d a
lpha /dt). The second attractive feature of Rb-87 fountains is the smallnes
s of the frequency shift induced by the mean field interaction between atom
s. This shift is found to be at least similar to 50 times below that of ces
ium.
Finally, the interest of the microgravity of space for cold atom experiment
s is outlined. A space mission, ACES, carrying ultra-stable clocks, is pres
ented. ACES has been selected by the European Space Agency to fly on the In
ternational Space Station in 2004.