Internal structure of a quantum soliton and classical excitations due to trap opening

Details Internal structure of a quantum soliton and classical excitations due to trap opening Internal structure of a quantum soliton and classical excitations due to trap opening

2008-07-14

arxiv.org/abs/0807.2194v2

European Physical Journal B 68 (2009) 317

Physics

Condensed Matter

Other Condensed Matter

12 pages; 2 figures added ; a few typos corrected

Scientific paper

10.1140/epjb/e2008-00407-3

We analytically solve two problems that may be useful in the context of the recent observation of matter wave bright solitons in a one-dimensional attractive atomic Bose gas. The first problem is strictly beyond mean field: From the Bethe ansatz solution we extract the internal correlation function of the particle positions in the quantum soliton, that is for a fixed center of mass position. The second problem is solved in the limit of a large number of particles, where the mean field theory is asymptotically correct: It deals with the number of excitations created by the opening of the trap, starting from a pure soliton in a weakly curved harmonic potential.

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