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Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach versus two-mode model

Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach versus two-mode model

We show that the Josephson plasma frequency for a condensate in a double-well potential, whose dynamics is described by the Gross-Pitaevskii (GP) equation, can be obtained with great precision by means of the usual Bogoliubov approach, whereas the two-mode model---commonly constructed by means of a linear combination of the low-lying …