https://doi.org/10.1140/epjb/e2003-00357-2
Tomographic-probability description of solitons in Bose-Einstein condensates
1
Istituto di Cibernetica “Eduardo Caianiello” del
CNR Comprensorio “A. Olivetti” Fabbr. 70, Via Campi Flegrei, 34,
80078 Pozzuoli (NA), Italy
2
Dipartimento di Scienze Fisiche, Università
“Federico II” di Napoli and Istituto Nazionale di Fisica Nucleare,
Sezione di Napoli
Complesso Universitario di M.S. Angelo, Via Cintia, 80126 Napoli, Italy
3
P.N. Lebedev Physical Institute Leninskii, Prospect 53,
Moscow 119991, Russia
Corresponding author: a renato.fedele@na.infn.it
Received:
5
August
2003
Revised:
18
September
2003
Published online:
23
December
2003
Tomographic-probability representation for soliton solutions of Gross-Pitaevskii equation is introduced. Tomograms of the wavefunction describing bright soliton states of Bose-Einstein condensate are obtained in the presence of a quadratic external potential.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 03.65.Wj – State reconstruction, quantum tomography / 42.65.-k – Nonlinear optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003
