Matter-wave interference in Bose-Einstein condensates: A dispersive hydrodynamic perspective
Mark Hoefer, Jia J. Chang, Peter Engels
The interference pattern generated by the merging interaction of two Bose-Einstein condensates reveals the coherent, quantum wave nature of matter. An asymptotic analysis of the nonlinear Schr¿odinger equation in the zero dispersion (semi-classical) limit, experimental results, and three-dimensional numerical simulations show that this interference pattern can be interpreted as a modulated soliton train generated by the interaction of two degenerate rarefaction waves propagating through the vacuum. The soliton train is shown to emerge from a linear, trigonometric interference pattern. The origin of the modulated soliton train is embedded in the Whitham theory of dispersive shock waves. This dispersive hydrodynamic perspective offers a new viewpoint on the mechanism driving matter wave interference.
, Chang, J.
and Engels, P.
Matter-wave interference in Bose-Einstein condensates: A dispersive hydrodynamic perspective, Physica D-Nonlinear Phenomena, [online], https://doi.org/10.1016/j.physd.2008.08.021
(Accessed December 8, 2023)