Excited stationary states of trapped Bose-Einstein condensates

We investigate the excited stationary states of Bose-Einstein condensates trapped in harmonic potentials. We derive simple analytical approximations of the first few eigenstates of the associated time-independent one-dimensional Gross-Pitaevskii equation and their energies. Our results are excited s...

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Hauptverfasser:	Vaccaro, John A, Steuernagel, Ole, Lorimer, Ben
Format:	Artikel
Sprache:	eng
Schlagworte:	Physics - Disordered Systems and Neural Networks Physics - Materials Science Physics - Mesoscale and Nanoscale Physics Physics - Other Condensed Matter Physics - Quantum Gases Physics - Soft Condensed Matter Physics - Statistical Mechanics Physics - Strongly Correlated Electrons Physics - Superconductivity
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Beschreibung
Zusammenfassung:	We investigate the excited stationary states of Bose-Einstein condensates trapped in harmonic potentials. We derive simple analytical approximations of the first few eigenstates of the associated time-independent one-dimensional Gross-Pitaevskii equation and their energies. Our results are excited state generalizations of the Thomas-Fermi approximation of the ground state.
DOI:	10.48550/arxiv.cond-mat/0007233