We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment. © 2010 American Institute of Physics.
Soliton solutions of the 3D Gross-Pitaevskii equation by a potential control method / Fedele, Renato; B., Eliasson; F., Haas; P. K., Shukla; D., Jovanović; S., De Nicola. - STAMPA. - 1306:(2010), pp. 61-74. (Intervento presentato al convegno NEW FRONTIERS IN ADVANCED PLASMA PHYSICS tenutosi a ICTP, Trieste, Italy nel 5–16 July 2010) [10.1063/1.3533194].
Soliton solutions of the 3D Gross-Pitaevskii equation by a potential control method
FEDELE, RENATO;
2010
Abstract
We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment. © 2010 American Institute of Physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
