SciPost Commentary Page
Original publication:
| Title: | Internal structure of a quantum soliton and classical excitations due to trap opening |
| Author(s): | Y. Castin |
| As Contributors: | (none claimed) |
| Journal ref.: | The European Physical Journal B 68, 317-328 |
| DOI: | http://dx.doi.org/10.1140/epjb/e2008-00407-3 |
| Date: | 2008-10-30 |
Abstract:
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.