An Adiabatic Theorem for the Gross-Pitaevskii Equation

We prove an adiabatic theorem for the non-autonomous Gross-Pitaevskii equation in the case of a weak trap. More precisely, we assume that the external potential decays suitably at infinity and admits exactly one bound state.

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Bibliographische Detailangaben
Hauptverfasser:	Gang, Zhou, Grech, Philip
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Pattern Formation and Solitons
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Beschreibung
Zusammenfassung:	We prove an adiabatic theorem for the non-autonomous Gross-Pitaevskii equation in the case of a weak trap. More precisely, we assume that the external potential decays suitably at infinity and admits exactly one bound state.
DOI:	10.48550/arxiv.1508.02351