Quantum fluctuations of coupled dark solitons in a trapped Bose$ndash$Einstein condensate
C K Law, P T Leung, M-C Chu
We examine the quantum fluctuations associated with the Bogoliubov quasiparticle vacuum of coupled dark solitons in a quasi-one-dimensional Bose–Einstein condensate. We show that the quantum fluctuations appear in the form of incoherent atoms strongly concentrated near the notches. We identify a finite number of collective modes that are responsible for such quantum phenomena. These collective modes describe the particle-like oscillations of coupled dark solitons.
arXiv:cond-mat/0110428•Journal of Physics B Atomic Molecular and Optical Physics•Aug 12, 2002•11 citations