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

Yvan Castin (1)

1 LKB (Lhomond) - Laboratoire Kastler Brossel

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.

Domaines: Autre [cond-mat.other]

Yvan Castin. Internal structure of a quantum soliton and classical excitations due to trap opening. The European Physical Journal B: Condensed Matter and Complex Systems, 2009, 68, pp.317. ⟨10.1140/epjb/e2008-00407-3⟩. ⟨hal-00296633v2⟩