2016/03/31 by François Damon, F. Damon, B. Georgeot +2
Mathematics · Physics and Astronomy · #Algorithm #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Scattering #State (computer science) #Surface (topology) #Surface states #Topology (electrical circuits) #Wave packet #cond-mat.quant-gas #nlin.PS #quant-ph
paper · pdf · doi:10.1209/0295-5075/115/20010
published as EPL, 115 (2016) 20010 · 6 pages, 8 figures; published version
openalex publication_date 2016/07/01 · arxiv created 2016/09/12 · arxiv updated 2016/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The scattering of 1D matter wave bright solitons on attractive potentials enables one to populate bound states, a feature impossible with noninteracting wave packets. Compared to noninteracting states, the populated states are renormalized by the attractive interactions between atoms and keep the same topology. This renormalization can even transform a virtual state into a bound state. By switching off adiabatically the interactions, the trapped wave packets converge towards the true noninteracting bound states. Our numerical studies show how such scattering experiments can reveal and characterize the surface states of a periodic structure whose translational invariance has been broken. We provide evidence that the corresponding 3D regime should be accessible with current techniques.