Rigorous derivation of the Gross-Pitaevskii equation.
نویسندگان
چکیده
The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short-scale correlation structure in the condensate.
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ورودعنوان ژورنال:
- Physical review letters
دوره 98 4 شماره
صفحات -
تاریخ انتشار 2007