Jacek Dziarmaga et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1217 doi:10.1088/0953-4075/36/6/311
Jacek Dziarmaga, Zbyszek P Karkuszewski and Krzysztof Sacha
Show affiliationsThe dark soliton created in a Bose–Einstein condensate becomes grey in the course of time evolution because its notch fills up with depleted atoms. This is the result of quantum mechanical calculations which describe the output of many experimental repetitions of creation of the stationary soliton, and its time evolution terminated by a destructive density measurement. However, such a description is not suitable to predict the outcome of a single realization of the experiment where two extreme scenarios and many combinations thereof are possible: one will see either (1) a displaced dark soliton without any atoms in the notch, but with a randomly displaced position, or (2) a grey soliton with a fixed position, but a random number of atoms filling its notch. In either case the average over many realizations will reproduce the mentioned quantum mechanical result. In this paper we use N-particle wavefunctions, which follow from the number-conserving Bogoliubov theory, to settle this issue.
Quantum gases, liquids and solids
Issue 6 (28 March 2003)
Received 19 December 2002
Published 4 March 2003
Jacek Dziarmaga et al 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1217
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