The existence of a Bose–Einstein condensate at absolute zero is disputed. Superfluidity without a condensate is implied. Bound state of helium dimers and trimers are discussed. (AIP)
It is our great good fortune that the only two substances that remain liquid down to the absolute zero obey different statistics ( 3 He: Fermi-Dirac, 4 He: Bose-Einstein) and thus allow us to study the differing effects of quantum statistics on condensed matter. An extraordinarily diverse and luxuriant field of liquid helium work has consequently developed, particularly in the last 25 years, ranging from refrigeration applications to the behaviour of pulsars, and it is surprising to realize that the ancient controversy over whether the Bose–Einstein condensation phenomenon (BEC) is necessary and sufficient for superfluidity is still not settled.