Abstract
We analyze the dynamics of a Bose-Einstein condensate undergoing a continuous dispersive imaging by using a Lindblad operator formalism. Continuous strong measurements drive the condensate out of the coherent-state description assumed within the Gross-Pitaevskii mean-field approach. Continuous weak measurements allow us instead to replace, for time scales short enough, the exact problem with its mean-field approximation through a stochastic analog of the Gross-Pitaevskii equation. The latter is used to show the unwinding of a dark soliton undergoing a continuous imaging.
- Received 17 December 2001
DOI:https://doi.org/10.1103/PhysRevA.65.053604
©2002 American Physical Society