Bose-Einstein condensation concerns occupation of a one-particle state. Matter-wave coherence concerns field correlations between positions or times. Superfluidity concerns a flow response, including suppression of dissipation under appropriate conditions. A density peak diagnoses neither a relative quantum phase between two separately prepared clouds nor a critical flow speed. These observables require different experiments.
For example, in a single-mode fixed-number Fock state, but . Writing for that occupied mode givesThus vanishing mean field does not imply vanishing first-order matter-wave coherence. For two independent fixed-number modes, : there is no ensemble mean interference term establishing a fixed relative quantum phase. Interpreting fringes in an individual detection record requires considering correlations and the measurement; assigning a pre-existing definite relative quantum phase is unnecessary.
Wolfgang Ketterle's lecture describes a separate coherence test: two condensates expanded into one another and produced fringes. Selectively removing one condensate made the fringes disappear on alternating preparation cycles, testing against diffraction from the confinement. This compared two-cloud and one-cloud signals; it did not measure dissipationless flow.[ref]
Nobel lecture: When atoms behave as waves: Bose-Einstein condensation and the atom laser by Wolfgang Ketterle. pp. 1143–1145, Fig. 15, condensate-elimination control
Nobel Prize in Physics in 2001 2026-10-18
Awarded in equal thirds to Eric A. Cornell, Wolfgang Ketterle and Carl E. Wieman for achieving Bose-Einstein condensation in dilute alkali atom gases and investigating the resulting condensates.[ref]
The Nobel Prize in Physics 2001 by Nobel Prize Outreach. Individual official 2001 summary: equal thirds; dilute alkali-gas condensation and early fundamental studies of condensate properties.
Wolfgang Ketterle Created 2026-10-18 Updated 2026-11-05
Wolfgang Ketterle helped produce and investigate Bose-Einstein condensation in a dilute sodium gas. Cooling a trapped sample into the quantum-degenerate regime produced a population concentrated in a common low-energy state.
Expansion images distinguished the narrow condensed component from the broader thermal cloud. Subsequent experiments used coherence and collective motion to test how the macroscopic population behaves as a matter wave. His Nobel lecture connects the condensation apparatus with interference experiments and the atom laser.[ref]
Bose-Einstein Condensation in a Gas of Sodium Atoms by K. B. Davis and others. 1995 experiment: cooling and condensed distribution
[ref]Portrait of Wolfgang Ketterle
. Kenneth C. Zirkel (Kzirkel); Brown University symposium, 12 April 2007; revised by the photographer in 2012. CC BY-SA 3.0, via Wikimedia Commons. Source.