Publication: Rigorous Derivation of the Gross-Pitaevskii Equation
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Date
2007
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American Physical Society (APS)
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Erdős, László, Benjamin Schlein, and Horng-Tzer Yau. 2007. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters 98 (4) (January 26). doi:10.1103/physrevlett.98.040404.
Abstract
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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