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Phys. Rev. A 65, 043609 (2002) [7 pages]

States without a linear counterpart in Bose-Einstein condensates

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Roberto D’Agosta1,2,* and Carlo Presilla3,4,5,†
1Dipartimento di Fisica “E. Amaldi,” Università di Roma Tre, via della Vasca Navale 84, Roma 00146, Italy
2Istituto Nazionale per la Fisica della Materia, Unità di Roma Tre, Roma 00146, Italy
3Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro 2, Roma 00185, Italy
4Istituto Nazionale per la Fisica della Materia, Unità di Roma 1 and Center for Statistical Mechanics and Complexity, Roma 00185, Italy
5Istituto Nazionale di Fisica Nucleare, Sezione di Roma 1, Roma 00185, Italy

Received 23 March 2001; published 27 March 2002

We show the existence of stationary solutions of a one-dimensional Gross-Pitaevskii equation in the presence of a multiwell external potential that do not reduce to any of the eigenfunctions of the associated Schrödinger problem. These solutions, which in the limit of strong nonlinearity have the form of chains of dark or bright solitons located near the extrema of the potential, represent macroscopically excited states of a Bose-Einstein condensate and are in principle experimentally observable.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.043609
DOI:
10.1103/PhysRevA.65.043609
PACS:
03.75.Fi, 03.65.Ge, 42.65.Tg

*Electronic address: dagosta@fis.uniroma3.it

†Electronic address: carlo.presilla@roma1.infn.it

 
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