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# FUTUR. Portal de la Producció Científica dels Investigadors de la UPC

## Lieb's Soliton-like Excitations in Harmonic Traps

Autor
Astrakharchik, G.; Pitaevskii, L.P.
Tipus d'activitat
Article en revista
Revista
Europhysics letters
Data de publicació
2013-05
Volum
102
Número
3
DOI
https://doi.org/10.1209/0295-5075/102/30004
Resum
We study the solitonic Lieb II branch of excitations in the one-dimensional Bose gas in homogeneous and trapped geometry. Using Bethe-ansatz Lieb's equations we calculate the "effective number of atoms" and the "effective mass" of the excitation. The equations of motion of the excitation are defined by the ratio of these quantities. The frequency of oscillations of the excitation in a harmonic trap is calculated. It changes continuously from its "soliton-like" value $\omega_h/\sqrt{2}$ in the hi...
Paraules clau
boson systems solitons
Grup de recerca
SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity