title: Particle-wave duality in quantum tunneling of a bright soliton.
abstract: One of the most fundamental difference between classical and quantum mechanics is observed in the particle tunneling through a localized potential: the former predicts a discontinuous transmission coefficient (T) as a function in incident velocity between one (complete penetration) and zero (complete reflection); while in the latter T always changes smoothly with a wave nature. Here we report a systematic study of the quantum tunneling property for a bright soliton, which behaves as a classical particle (wave) in the limit of small (large) incident velocity. In the intermediate regime, the classical and quantum properties are combined via a finite (but not full) discontinuity in the tunneling transmission coefficient. We demonstrate that the formation of a localized bound state is essential to describe such inelastic collisions, showing a nontrivial nonlinear effect on the quantum transportation of a bright soliton.
authors.affiliation: Department of Physics, National Tsing-Hua University, Hsinchu 30013, Taiwan.
authors.forename: Ching-Hao
authors.initials: CH
authors.lastname: Wang
authors.forename: Tzay-Ming
authors.initials: TM
authors.lastname: Hong
authors.forename: Ray-Kuang
authors.initials: RK
authors.lastname: Lee
authors.forename: Daw-Wei
authors.initials: DW
authors.lastname: Wang
mesh_terms: D003198:Computer Simulation; D004574:Electromagnetic Fields; D008962:Models, Theoretical; D010316:Particle Size; D011789:Quantum Theory